Question: 1) Please find the partially completed multiple regression analysis below, whichexplores the relationship between the sales (in hundreds) and the independentvariables price(in dollars), promotional expenditure(in
1)Please find the partially completed multiple regression analysis below, whichexplores the relationship between the sales (in hundreds) and the independentvariables price(in dollars), promotional expenditure(in hundreds of dollars) and the quality score ( 0-100) for a very popular Christmas season toy.
The regression equation is
Sales = 343.2 - 0.23* Price + 2.7* Promotional exp + 0.22* Quality
PredictorCoefStandard Error/ SE CoefTPVIF
Constant343.2062.59
Price-0.233580.0373 2.415
Promotional exp2.7041.4 1.047
Quality0.22040.1429 10.387
R-Sq=
Analysis of Variance
SourceDFSSMSF
Regression2847.78
Residual Error
Total153933.40
Answer questions A - F based on the above analysis
A) Is the factorPromotional Expsignificant at=0.05 ? Perform the test of hypothesis and show all the relevant calculations.
B)Construct a 95% confidence interval estimate of the population slope of sales withQualityshowing all the relevant calculations and also state whether 'Quality'is a significant factor in predicting sales.
C) What is the value of the partial F test statistic (FSTAT) for the independent variable'Price'(show all the relevant calculations)?
D) Is there a problem withmulti-collinearityamong independent variables in this analysis? Explain.
E) What is theadjusted R2value?(show all the relevant calculations)
F) Based on the ANOVA presented, perform theoverall F- testshowing all the relevant calculationsand alsostate if the regression is significant? (=0.05)
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