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<!DOCTYPE html PUBLIC "-//ABISOURCE//DTD XHTML plus AWML 2.2//EN" "http://www.abisource.com/2004/xhtml-awml/xhtml-awml.mod"><html xmlns="http://www.w3.org/1999/xhtml" xmlns:awml="http://www.abisource.com/2004/xhtml-awml/"> <head> <meta http-equiv="Content-Type" content="application/xhtml+xml; charset=UTF-8" /> <title> Abiword HTML Document </title> </head> <body> <div> <p style="text-indent:-36.000000pt"> A sample of waiting times (in minutes) of a random sample of customers at a local restaurant before they were seated is given below: </p> <p style="text-indent:-36.000000pt"> 15.3 10.4 5.9 13.7 18.5 20.5 13.2 10.6 17.8 19.7 21.0 13.0 15.4 16.8 25.6 24.1 </p> <p style="text-indent:-36.000000pt"> Assume that the waiting times are normally distributed, and test that the mean waiting time for a customer is 12.9 minutes against that it is greater. Test at 2.5% level of significance. </p> <p style="text-indent:-36.000000pt"> (a) State the hypothesis to be tested (b) State the distribution of test statistic (b) find the value for the test statistic (c) Find the critical value(s) for the test using appropriate table (d) Find p-value for the test (e) decide whether the null hypothesis is accepted or rejected </p> <p style="text-indent:-36.000000pt"> ===================================================================================== </p> <p style="text-indent:-36.000000pt"> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.05 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.63 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.03 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 6.9 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10.02 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.58 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.25 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.72 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.45 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 9.19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11.99 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 14.99 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 18.94 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2.7 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.54 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.84 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11.44 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.46 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 8.14 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2.76 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12.34 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.48 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13.65 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7.42 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 9.69 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13.85 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 16.55 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.17 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.03 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> It is required to fit a linear relationship between X and Y. Find the following quantities: </p> <p style="text-indent:-36.000000pt"> (a) Sxx (b) Sxy (c) Syy (d) correlation coefficient, r </p> <p style="text-indent:-36.000000pt"> ======================================================================================= </p> <p style="text-indent:-36.000000pt"> Consider a least squares regression analysis that fits a linear relationship between the variables X and Y </p> <p style="text-indent:-36.000000pt"> </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 64 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 63.96 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 63 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 65 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 62.04 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 64.56 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 63.6 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 64.92 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 64.92 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 60 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.6 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.7 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.2 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.1 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.3 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> (a) Find Sxx, Sxy and Syy </p> <p style="text-indent:-36.000000pt"> (b) Obtain the estimated linear equation relating X and Y </p> <p style="text-indent:-36.000000pt"> ========================================================================================== </p> <p style="text-indent:-36.000000pt"> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 0 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 17 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 22 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 30 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> Find the correlation coefficient for the linear relationship between X and Y: </p> <p style="text-indent:-36.000000pt"> Find the coefficient of determination for the linear relationship between X and Y: </p> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> A sample of scores in an aptitude test are given below: </p> <p style="text-indent:-36.000000pt"> if the scores are normally distributed with variance 54. Test the hypothesis that the mean is 70 against that it is greater at 1% level of significance. </p> <p style="text-indent:-36.000000pt"> (a) State the hypothesis to be tested (b) What is the critical value for this test? </p> <p style="text-indent:-36.000000pt"> (c) State the distribution of test statistic (d) find the value for the test statistic (e) Find p-value for the test (f) decide whether the null hypothesis is accepted or rejected. </p> <p style="text-indent:-36.000000pt"> ================================================================================= </p> <p style="text-indent:-36.000000pt"> A sample of number of hours it took people to accomplish a set task is shown below: </p> <p style="text-indent:-36.000000pt"> 18.9 20.7 21.9 22.8 17.8 22 18 20 19.7 19.8 17.5 18.8 19.3 18.2 18.5 21 17.4 19.5 20.3 16.5 </p> <p style="text-indent:-36.000000pt"> Assuming that </p> <p style="text-indent:-36.000000pt"> time it took to accomplish the task is normally distributed, test the hypothesis that the mean time spent on it is 18.3 hours against that it is not equal to 18.3 days; test at a 5% level of significance. </p> <p style="text-indent:-36.000000pt"> (a) State the hypothesis to be tested (b) What are the critical values for this test? </p> <p style="text-indent:-36.000000pt"> (c) State the distribution of test statistic (d) find the value for the test statistic (e) Find p-value for the test (f) decide whether the null hypothesis is accepted or rejected </p> <p style="text-indent:-36.000000pt"> A sample of of number of days tourists spent in city hotels is shown below: </p> <p style="text-indent:-36.000000pt"> 8 4 6 2 3 5 1 2 3 4 7 3 8 8 10 7 11 9 8 10 12 </p> <p style="text-indent:-36.000000pt"> Assuming that </p> <p style="text-indent:-36.000000pt"> time tourists spend in city hotels is normally distributed, test the hypothesis that the mean time spent in city hotels is 4.5 days against that it is not equal to 4.5 days; test at a 2% level of significance. </p> <p style="text-indent:-36.000000pt"> State the hypothesis to be tested (b) What are the critical values for the test (c) State the distribution of test statistic (d) find the value for the test statistic (e) Find p-value for the test (f) decide whether the null hypothesis is accepted or rejected </p> <p style="text-indent:-36.000000pt"> ====================================================================================== </p> <p style="text-indent:-36.000000pt"> A sample of number of days before seeds of a bean species germinated are shown below: </p> <p style="text-indent:-36.000000pt"> 18 14 16 22 13 15 11 12 13 14 17 13 </p> <p style="text-indent:-36.000000pt"> Assuming that number of days to germination for the bean is normally distributed with a variance of 24, test the hypothesis that the mean number of days to germination is 12 against that it is not at 5% level of significance. </p> <p style="text-indent:-36.000000pt"> State the hypothesis to be tested (b) State the distribution of the test statistic (c) find the value for the test statistic (d) Find p-value for the test (e) decide whether the null hypothesis is accepted or rejected. </p> <p style="text-indent:-36.000000pt"> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 0 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 18 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 24 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 6 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 9 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 22 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 17 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 27 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 29 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 27 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> Find (a) the slope (beta1) (b) the intercept on Y axis (beta0), and (c) the estimated linear equation relating X to Y (yhat), (d) correlation r: </p> <p style="text-indent:-36.000000pt"> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.08 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.66 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.7 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 6.95 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10.32 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.88 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.35 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.91 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.56 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 9.29 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12.09 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15.85 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19.54 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.83 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2.65 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.58 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 11.4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.36 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 8.04 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2.86 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 12.24 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.38 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13.45 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 7.52 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 9.78 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13.95 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 16.65 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.15 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 4.08 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> Find the (a) sum of squares error (SSE) (b) Sum of squares regression (c) the coefficient of determination (Rsq): </p> <p style="text-indent:-36.000000pt"> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 10 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 15 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 17 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 16 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 19 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 23 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 28 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 30 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 20 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 21 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 22 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 26 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 22 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 20 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 25 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 27 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 23 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 30 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 28 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 30 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> Find (a) the slope (beta1) (b) the intercept on Y axis (beta0), and (c) the estimated linear equation relating X to Y (yhat): </p> <p style="text-indent:-36.000000pt"> ============================================================================= </p> <p> <a name="_GoBack"> </a> Consider the data below. </p> <table border="0" cellpadding="0" style="width:100%;background-color:#ffffff;border:0.75pt solid;border-collapse:collapse;empty-cells:show;table-layout:fixed"> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> X </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.9 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 1.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 2.4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.1 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 3.1 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 5.1 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 8.3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 13.7 </p> </td> </tr> <tr> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> Y </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 22 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 32.5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 23.6 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 40.8 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 63.2 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 27.9 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 41.4 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 44.3 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 63.5 </p> </td> <td rowspan="" colspan="" style="padding: 0.00pt;background-color:#ffffff;border:0.75pt solid inherit"> <p style="text-indent:-36.000000pt"> 92.7 </p> </td> </tr> </table> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> Find the (a) sum of squares error (SSE) (b) Sum of squares regression (c) the coefficient of determination (Rsq): </p> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> </p> <p style="text-indent:-36.000000pt"> </p> </div> </body></html> ">
