The store manager is under impression that his sales people do more business if they score higher on the social skills test which was administered this year. 5 victims were selected at random. Below, the results are X =test score, Y =weekly sales in $1000.
X (score) Y (sales)
4 4
5 6
3 5
6 7
10 7
a) Find the correlation coefficient for the relationship between test results and sales
b) What percent of the total change in "Y" is based solely on changes in "X"?
c) Conduct a test to prove the hypothesis that there is a correlation between "X" and "Y". Use .05 level of significance.
d) Find the regression equation for test scores vs. weekly sales
e) Find the standard error of the estimate