As HR manager at Krameria, Inc., you are trying to determine whether there is a useful linear relationship between x, the years of education of a company employee, and y, the employee’s job performance rating after one year of employment with the company. Based on the records of 25 employees hired in recent years, you used simple linear regression to produce the estimated regression equation ŷ 50.15 1.64x. The ANOVA table for your analysis is given below:

a. Calculate the value of r² and interpret its meaning. 

b. Calculate the missing values in the table: MS Regression (MSR), MS Error (MSE), and F. 

c. Use the F value to determine whether you can reject a β = 0 null hypothesis at the 5% significance level. Explain your conclusion.

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ANOVA df MS Regression Error (Residual) 23 4079.2 ? Total 673.8 24 4753.0