4. A random sample of 79 companies from the Forbes 500 list (which actually cons

Question

4. A random sample of 79 companies from the Forbes 500 list (which actually consists of nearly 800 companies) was selected, and the relationship between sales (in hundreds of thousands of dollars) and profits (in hundreds of thousands of dollars) was investigated by regression. The following results were obtained from statistical software. R2 = 0.662 5 = 466.2 Standard error Variable Constant Sales Parameter estimate -176.644 0.092498 61.16 0.0075 The following (partial) ANOVA table was obtained from statistical so Source DF Sum of squares Model 1 32,809,212 Error 16,734,234 = 0 versus What is the value of the F statistic for testing the hypotheses Ho: A) 1.96 B) 77 C) 150.97 D) 217,328

Explanation / Answer

Solution4:

F=MS MODEL /MS Error

see the below table

MS(model)=SS(model)/DF(model)

MS(Error)=SS(error)/DF(error)

F=150.9665

OPTIONC

Source DF SS MS F Model 1 32809212 32809212 150.9665 Error 77 16734234 217327.7

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