MA416 Assignment 2 Simple Linear Regression Due Thursday Sept 22 in Class NOTE FOR THIS AND ALL ASSIGNMENTS IN THE FUTURE PLEASE HAND IN YOUR HOMEWORK ON 8 5 X 11 PAPER PLEASE MAKE SURE YOUR NAME AND THE DAY OF YOUR DISCUSSION i e Wed or Thu IS ON YOUR ASSIGNMENT IF MULTIPLE PAGES PLEASE MAKE SURE YOUR NAME IS ON EACH PAGE AND PLEASE STAPLE Thanks The following are Age and Systolic Blood Pressure SBP data taken from 4 participants of the Framingham Heart Study Assume the underlying relationship between Age and SBP is linear or i e Yi 0 1Xi i where i subject number or i e i 1 2 3 4 and all other linear regression assumptions hold and where SBP is the dependent variable Subject ID 1 2 3 4 Age X 45 41 49 52 SBP Y 135 122 130 148 a For each subject find the predicted SBP and the residual e from the estimated linear regression equation relating Y to X NOTE In assignment 1 you calculated b0 and b1 the estimates of 0 and 1 the y intercept and slope of the regression line The correct values are b0 44 00 and b1 1 92 Use these correct values to answer this question and the questions below as needed b Calculate the error sum of squares and mean square error MSE c Take the results and show with numbers that X i ei 0 and Y i ei 0 d Find the estimate of the standard error of b1 where b1 is the sample estimate of 1 the slope of the linear regression equation e Find a two sided 95 confidence interval of 1 Hint we will review confidence intervals on Tuesday Sept 20 but given you know b1 and the standard error of b1 and given that b1 follows a t distribution with n 2 df you can calculate this now
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