Overall Regression

Use the regression equation below for predicting graduate GPA for the three presented cases.
 

​Y′ = -1.636 + 0.793(undergrad GPA) + 0.004(GREverbal) – 0.0009(GREquant)​+0.009(Motivation)
 

​Subject​undergrad GPA​GREverbal​GREquant​Motivation
​     1​         2.9​      560​     540​      55
​     2​         3.2      550     590      65
​     3​         3.4​      600​     550​      70  

6.​Using the following information for R2, k, and N, calculate the value of the F statistic for testing the overall regression equation and determine whether F is statistically significant at the 0.05 level:​
 

a. R2 = 0.13, k = 5, N = 120
b. R2 = 0.53, k = 5, N = 30
c. R2 = 0.28, k = 4, N = 64
d. R2 = 0.14, k = 4, N = 64