I need the answers for d and f. No need for a b c. 10:09 AM ms.mcmaster.ca ..1 F

Question

I need the answers for d and f. No need for a b c. 10:09 AM ms.mcmaster.ca ..1 Fido 73% Q. 4 A realtor took a sample of 24 house sales and tried to fit a model to the sale prices of the houses as a function of the following variables taxes inn Age Bed Bath Space Lot Age of the boase in years Number of Bedrooms Number of Bathrooms Living space in thousands of square feet Lot size in thousands of feet The response variable was the sale price of the hotse in thousands of dollars a) Here is a partial ANOVA Table from fitting this model. nalysisof Variance Sun of Squares Source DF Square F Talse d 112.643245 Corrected Total 831 50958 Give the complete ANOVA table by filling in the missing values a, b, c, d, e, f and g b) State the ull and alternative hypothesis that the F Value (g) is testng Give the conclusion of the test for this fitted model. c) Give an estimate of the error standard deviation . d) What is the sample correlation coefficient between the 24 observed sale prioes and those that the realtor would predict from the model? e Here is another ANOVA Table which useonly the two variables taxes and mber of bedrooms to predict the sale price of a house. Analysis of Variasce Sun of 636.52647 831.50968 Square F Value 21 9.28491 Corrected Total State carefully the null and alternative bypotheses that test if these two variables alone are sufficient to predict the sale price of a house. Calculate the appropriate test statistic and give its distribution when Ho is true, What is your conclusion from this test?

Explanation / Answer

There are k= 6 treatments, therefore, df(Model)=k-1=6-1=5 (Ans-d). SS(Model)=MS(Model)*df(Model)=112.643245*5=563.2162

SS(Error)=SS(Total)-SS(Model)=831.50958-563.216225=268.2934; df(Error)=n-k=24-6=18

MS(Error)=SS(Error)/df(Error)=268.2934/18=14.91 9Ans-f)

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