Answer to Question #52610 in Statistics and Probability for Ren

A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel bars and pull-ups on the horizontal bar were considered good tests. One faculty member thought that both tests were not needed, because the correlation between the two was probably high. To evaluate this assumption, 141 students were tested on both criteria. The faculty member let X represent dips on the parallel bars and Y represent pull-ups and calculated the following from the data:

∑X = 3,416, ∑Y = 1,899, ∑X2= 93,810, ∑Y2 = 28,697, ∑XY = 50,509

Calculate the following:
A. The mean of each variable
B. The standard deviation of each variable
C. The correlation between the two variables. Use the mean/standard deviation formula and the machine formula or the computer program on Stat pages. Do they agree?
D. The level of confidence and the p value reached by the coefficient
E. The predicted number of pull-ups for a student who performed 20 dips
F. The standard error of the estimate