Pricing Refrigerators. Best Buy, a nationwide retailer of electronics, computers, and appliances, sells several brands of refrigerators. A random sample of models of full size refrigerators prices sold by Best Buy and the corresponding cubic feet (cu.ft.) and list price follow (Best Buy website).  Model  Thru-the-Door Ice and Water? Cubic Feet List Price Frigidaire Gallery Custom-Flex Top-Freezer Refrigerator No 18.3 $899.99 GE French Door Refrigerator No 24.8 $1,599.99 GE Frost-Free Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,599.99 Whirlpool Top-Freezer Refrigerator No 19.3 $749.99 GE Frost-Free Top-Freezer  No 17.5 $599.99 Whirlpool French Door Refrigerator with Thru-the-Door Ice and Water Yes 19.6 $1,619.99 Samsung French Door Refrigerator No 25.0 $999.99 Samsung Side-by-Side Refrigerator No 24.5 $1,299.99 Whirlpool Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,299.99 Frigidaire Gallery Frost-Free Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 26.0 $1,299.99 Frigidaire Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.6 $1,099.99 Frigidaire Top-Freezer Refrigerator No 18.0 $579.99 Whirlpool French Door Refrigerator with Thru-the-Door Ice and Water Yes 25.0 $2,199.99 Whirlpool Top-Freezer Refrigerator No 20.5 $849.99 GE Frost-Free Top-Freezer  No 15.5 $549.99 Samsung 4-Door French Door Refrigerator with Thru-the-Door Ice and Water Yes 28.2 $2,599.99 Samsung Showcase 4-Door French Door Refrigerator No 27.8 $2,999.99 Samsung 3-Door French Door Refrigerator with Thru-the-Door Ice and Water Yes 24.6 $2,399.99 Frigidaire Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 22.6 $1,099.99 GE Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 21.8 $1,499.99 GE Bottom-Freezer Refrigerator  No 20.9 $1,649.99 a. Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet.  b. At the .05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet.  c. Develop a dummy variable that will account for whether the refrigerator has the tru-the door ice and water feature. Code the dummy variable with a value of 1 if the refrigerator has the tru-the-door ice and water feature and with 0 otherwise. Use this dummy variable to develop the estimated multiple regression equation to show how list price is related to cubic feet and the tru-the-door ice and water feature.  d. At a=.05, is the tru-the-door ice and water feature a significant factor in the list price of a refrigerator?

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Pricing Refrigerators. Best Buy, a nationwide retailer of electronics, computers, and appliances, sells several brands of refrigerators. A random sample of models of full size refrigerators prices sold by Best Buy and the corresponding cubic feet (cu.ft.) and list price follow (Best Buy website). 

Model  Thru-the-Door Ice and Water? Cubic Feet List Price
Frigidaire Gallery Custom-Flex Top-Freezer Refrigerator No 18.3 $899.99
GE French Door Refrigerator No 24.8 $1,599.99
GE Frost-Free Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,599.99
Whirlpool Top-Freezer Refrigerator No 19.3 $749.99
GE Frost-Free Top-Freezer  No 17.5 $599.99
Whirlpool French Door Refrigerator with Thru-the-Door Ice and Water Yes 19.6 $1,619.99
Samsung French Door Refrigerator No 25.0 $999.99
Samsung Side-by-Side Refrigerator No 24.5 $1,299.99
Whirlpool Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,299.99
Frigidaire Gallery Frost-Free Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 26.0 $1,299.99
Frigidaire Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.6 $1,099.99
Frigidaire Top-Freezer Refrigerator No 18.0 $579.99
Whirlpool French Door Refrigerator with Thru-the-Door Ice and Water Yes 25.0 $2,199.99
Whirlpool Top-Freezer Refrigerator No 20.5 $849.99
GE Frost-Free Top-Freezer  No 15.5 $549.99
Samsung 4-Door French Door Refrigerator with Thru-the-Door Ice and Water Yes 28.2 $2,599.99
Samsung Showcase 4-Door French Door Refrigerator No 27.8 $2,999.99
Samsung 3-Door French Door Refrigerator with Thru-the-Door Ice and Water Yes 24.6 $2,399.99
Frigidaire Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 22.6 $1,099.99
GE Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 21.8 $1,499.99
GE Bottom-Freezer Refrigerator  No 20.9 $1,649.99

a. Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet. 

b. At the .05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet. 

c. Develop a dummy variable that will account for whether the refrigerator has the tru-the door ice and water feature. Code the dummy variable with a value of 1 if the refrigerator has the tru-the-door ice and water feature and with 0 otherwise. Use this dummy variable to develop the estimated multiple regression equation to show how list price is related to cubic feet and the tru-the-door ice and water feature. 

d. At a=.05, is the tru-the-door ice and water feature a significant factor in the list price of a refrigerator? 

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