Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below.ModelModel 1Model 2Model 3with Thru-the-Door Ice and WaterModel 4Model 5Model 6with Thru-the-Door Ice and WaterModel 7Model 8Model 9with Thru-the-Door Ice and WaterModel 10with Thru-the-Door Ice and WaterModel 11with Thru-the-Door Ice and WaterModel 12Model 13with Thru-the-Door Ice and WaterModel 14Model 15Cu.Ft. List Price18.324.825.419.317.319.625.024.518.0$899.9925.0$1,799.9920.2$1,799.9915.5$749.99$599.9925.4 $1,299.99$1,619.9926.0 $1,299.99$999.9925.6 $1,099.99$1,299.99$679.99$2,199.99$849.99$549.99Model 16with Thru-the-Door Ice and WaterModel 17Model 18with Thru-the-Door Ice and WaterModel 19with Thru-the-Door Ice and WaterModel 20with Thru-the-Door Ice and WaterModel 21ⒸHO: B₁ ≤0H₂: A₂ > 028.2ⒸH₁: B₁₂ = 0Ha! B₁ #027.8Ho: B₂0H₂: B₂ > 023.622.621.820.9$2,599.99$2,999.99$2,399.99$1,099.99(a) Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet. (Round your numerical values to four decimal places. Letrepresent the cubic feet and y represent the list price.)9-1604.75x+134.203x$1,499.99(b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet.State the null and alternative hypotheses.Ho: B₂ 20H₂: B₁ <0$1,669.99 Find the test statistic. (Round your answer to two decimal places.)4.44Find the p-value. (Round your answer to four decimal places.)0.0003State your conclusion.Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and cubic feet.O Reject Ha. There is insufficient evidence to conclude there is a significant relationship between list price and cubic feet.O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and cubic feet.O Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and cubic feet.(c) Develop a dummy variable that will account for whether the refrigerator has the thru-the-door ice and water feature. Code the dummy variable with a value of 1 if the refrigerator has the thruthe-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 thruthe-door ice and water feature. (Round your numerical values to four decimal places. Let x, represent the cubic feet, x, represent whether the refrigerator has the thru-the-door ice and waterfeature, and y represent the list price.)y=-1525.37 + 129.0112x₁ +79.81081x₂(d) At = 0.05, is the thru-the-door Ice and water feature a significant factor in the list price of a refrigerator?State the null and alternative hypotheses.Mo: B₂ 20Ha: B₂ <0XMo: A₂ SOH₂: B₂ > 0ⒸHo: P₂ = 0Find the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)State your conclusion.O Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature.O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature.O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and waterfeature.Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and waterfeature.

We want to establish a linear regression model between the variables cubic feet (x) and list price…

Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Cu.Ft. List Price Model Model 1 Model 2 Model 3 with Thru-the-Door Ice and Water Model 4 Model 5 Model 6 with Thru-the-Door Ice and Water Model 7 Model 8 Model 9 with Thru-the-Door Ice and Water Model 10 with Thru-the-Door Ice and Water Model 11 with Thru-the-Door Ice and Water Model 12 18.3 24.8 25.4 19.3 17.3 19.6 25.0 24.5 25.4 26.0 $899.99 18.0 $1,799.99 $1,799.99 $749.99 $599.99 $1,619.99 $999.99 $1,299.99 $1,299.99 $1,299.99 25.6 $1,099.99 $679.99 Model 16 with Thru-the-Door Ice and Water Model 17 Model 18 with Thru-the-Door Ice and Water Model 20 with Thru-the-Door Ice and Water Model 21 Model 19 with Thru-the-Door Ice and Water 22.6 28.2 Ho: B₂ 20 H₂₂ <0 27.8 x Ho: B₂ So H₂: ₂0 23.6 21.8 $2,599.99 $2,999.99 $2,399.99 20.9 (a) Develop the estimated simple linear regression equation to show how list price is related to the Independent variable cubic feet. (Round your numerical values to four decimal places represent the cubic feet and y represent the list price.) 9-1604.75x+134.203x $1,099.99 $1,499.99 $1,669.99 (b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet. State the null and alternative hypotheses.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P