The grades for 15 students on midterm and final examinations in an English course are given in Table 7.16. (a) Obtain the least-squares regression to predict the score on the final examination from...

The grades for 15 students on midterm and final examinations in an English course are given in Table 7.16.

(a) Obtain the least-squares regression to predict the score on the final examination from the midterm examination score. Test for significance of the regression and interpret the results.

(b) It is suggested that if the regression is significant, there is no need to have a final examination. Comment

(c) Plot the estimated line and the actual data points. Comment on these results. (d) Predict the final score for a student who made a score of 82 on the midterm. Check this calculation with the plot made in part (c).

(e) Compute r and r²
and compare results with the partitioning of sums of squares in part (a).