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Data is given on the age and size of 5 randomly selected fitness facilities.Build a multiple regression model using X1 and X2 to predict Y

Data is given on the age and size of 5 randomly selected fitness facilities.Build a multiple regression model using X1 and X2 to predict Y and answer the following questions.

X1=Age of the space

X2=Size of the space in square feet

Y=Monthly membership fee in $

X1 X2 Y
18 3800 120
2 8500 135
25 4200 110
5 12300 140
32 6500 125

a) Select the correct equation for this regression model:

A) Y=111.2422+0.0026X2

B) Y=111.2422-0.2176X1

C) Y=111.2422+0.2176X1+0.0026X2

D) Y=111.2422-0.2176X1+0.0026X2

Enter the LETTER of the correct answer.

b) Select the correct interpretation for R Square:

A) About 86% of variation in monthly membership fee can be explained by X1

B) About 93% of variation in monthly membership fee can be explained by X2

C) About 93% of variation in monthly membership fee can be explained by X1 and X2

D) About 86% of variation in monthly membership fee can be explained by X1 and X2

Enter the LETTER of the correct answer.

c) Which predictors are statistically significant?

A) None of the two

B) X1

C) Both X1 and X2

D) X2

Enter the LETTER of the correct answer.

d)Use the regression model to predict the monthly membership fee for a 5 year old facility with a 4500 square feet space.

A) $121.86

B) $118.24

C) $145.65

D) $93.42

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