Question

Question 8 of 14 (1 point) View problem in a pop-up 10.3 Section Exercise The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus's contribution (in dollars) and the number of years the alumnus has been out of school. The data follow. The regression line equation is y'= 548.276 - 78.017x. The correlation coefficient is r = -0.977. Compute the standard error of the estimate, if appropriate. Assume a = 0.01. 1 5 3 7 6 Years, x Contribution, y 500 100 300 50 75 Download data Part 1 The standard error of the estimate should v be calculated Part 2 out of 2 Compute the standard error of the estimate. Round the answer to two decimal places as needed. Sest

Answer 1

$S_{estimate}=\sqrt{\frac{(\widehat{Y}-Y)^2}{n-2}}$

A B F с = 548.276 - 1 Years x Y 78.017.c Contribution (Y) 500 2 1 D Y-Y) -29.741 58.191 14.225 -47.843 3 5 470.259 158.191 314.225 2.157 100 E (- Y) 884.527081 3386.192481 202.350625 2288.952649 26.770276 6788.793112 3 300 4 5 7 50 6 6 75 80.174 5.174 7 Total SUM(E2:E6) 00 9 10 Standard error of estimate 47.57 SQRT(E7/3) 11