For students in a statistics class, both the midtorm and final exam scores have mean =70 and standard deviation =5. The peotessor explores using the midtarm exam score to predict the final ecam bcore. The regression equation relating y= final exam score to x= midlerm exam score is y^=24.5+0.65x a. Find the predicted final exam score for a student who has (0 midterm score =60, (i) midterm score =80. Note that in each case the predicted final exam score regresses toward the moan of 70 . (This is a property of the regression equation that is the origin of its name.) a. (i) The predicted final oxam score for a student who has midterm score =60 is (Type an integer or a decimal Do not round.) (i) The predicted final exam score for a student who has midterm score =80 is (Type an integer of a decimal. Do not round.) b. Show that the comrelation coemioient eguals 0.65. Identify the correct felation betweon the slope and the correlation coe fficiont and substitule in the approprlate values, whore b is the slope of the regression equation, r is the correlation coefficient, s, is the sample standard deviation of the explanhitory variable, sy is the sample standard deviaton of the resperise variable, K is the mean of the explanatory variabie, and y is the mean of the respense variable. Solect the correct choice below and fa in the answer boxes within your choice. (Type integers or decimals, Do not round.) A. 8. c 5. c. Irhepret the siope in consext. For every I point incroase in the oxam score, the exam score is predicted to increase by point(s). (Tvpe an integer or a decimal, Do not round.).

1. For students in a statistics class, both the midtorm and final exam scores have mean =70 and
standard deviation =5. The peotessor explores using the midtarm exam score to predict the final
ecam bcore. The regression equation relating y= final exam score to x= midlerm exam score is
y^=24.5+0.65x a. Find the predicted final exam score for a student who has (0 midterm score
=60, (i) midterm score =80. Note that in each case the predicted final exam score regresses
toward the moan of 70 . (This is a property of the regression equation that is the origin of its
name.) a. (i) The predicted final oxam score for a student who has midterm score =60 is (Type an
integer or a decimal Do not round.) (i) The predicted final exam score for a student who has
midterm score =80 is (Type an integer of a decimal. Do not round.) b. Show that the comrelation
coemioient eguals 0.65. Identify the correct felation betweon the slope and the correlation coe
fficiont and substitule in the approprlate values, whore b is the slope of the regression equation, r
is the correlation coefficient, s, is the sample standard deviation of the explanhitory variable, sy
is the sample standard deviaton of the resperise variable, K is the mean of the explanatory
variabie, and y is the mean of the respense variable. Solect the correct choice below and fa in the
answer boxes within your choice. (Type integers or decimals, Do not round.) A. 8. c 5. c.
Irhepret the siope in consext. For every I point incroase in the oxam score, the exam score is
predicted to increase by point(s). (Tvpe an integer or a decimal, Do not round.)