As transportation manager at ABC Manufacturing, you are trying to determine whether there is a useful linear relationship between x, the distance that your product is shipped, and y, the amount of damage reported by customers receiving the shipment. For 30 randomly selected shipments, you used simple linear regression to produce the estimated regression equation ŷ = 479.5 + .78x. 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: SS Error (SSE), MS Regression (MSR), MS Error (MSE), and F. 

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

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ANOVA df MS Regression 3,940,360 Error (Residua 28 Total 29 23,854,939