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Consider the model output below for a multiple regression to predict overall cru

ID: 3154887 • Letter: C

Question

Consider the model output below for a multiple regression to predict overall cruise ship rating from the listed predictors. Use it to answer Questions 15 & 16.

Regression Analysis: Overall versus Itineraries/Schedule, Shore Excursions, Food/Dining

Model Summary

      S    R-sq R-sq(adj) R-sq(pred)

1.38775 74.98%     70.29%      58.09%

Coefficients

Term                    Coef SE Coef T-Value P-Value   VIF

Constant                35.6     13.2     2.69    0.016

Itineraries/Schedule   0.110    0.130     0.85    0.407 1.05

Shore Excursions      0.2445   0.0434     ____    _____ 1.07

Food/Dining           0.2474   0.0621     3.98    0.000 1.01

15. What are the missing T-Value and P-Value for Shore Excursions?

16. Which of the following statements below are true?

A) If Itineraries/Schedule is removed from the model, the multiple R-squared will decrease.

B) If Itineraries/Schedule is removed from the model, the adjusted R-squared will decrease.

C) If Itineraries/Schedule is removed from the model, the multiple R-squared will increase.

D) Cannot be determined based on the given information.

Please Explain

Explanation / Answer

15. What are the missing T-Value and P-Value for Shore Excursions?

T = 0.2445 / 0.0434 = 5.6336

p value : 0.0000

16. Which of the following statements below are true?

A) If Itineraries/Schedule is removed from the model, the multiple R-squared will decrease.

that is because the p value of that variable is bigger that means that the variable is very significant and the model can explained the result with that variable

if the variable schedule is removed from the model Rsquared will be lower that means there will be less variation that the model can be explain