As part of an effort to induce the public to conserve energy, a researcher wanted to analyze the factorsthat determine home heating costs. In a city known for its long, cold winters the researcher took a randomsample of 35 houses and collected data on the following variables: cost of heating during the month ofJanuary, house size in hundreds of square feet, number of windows, and number of occupants per house.A multiple regression model for the cost of heating was estimated with the Excel output shown below:SUMMARY OUTPUTRegression StatisticsMultiple RR SquareAdjusted R SquareStandard ErrorObservationsANOVARegressionResidualTotalInterceptSizeWindowsOccupants0.5540.51134.89835Df3134Coefficients11.0885.6323.17915.431SS469193775484673Standard Error4.5321.4891.9666.850MS15639.71217.9t Stat2.453.781.622.25F12.84P-value0.02020.00060.11540.0316Significance F0.000a. Using a 5% significance level, determine if there exists a significant relationship between theindependent variables and the dependent variable. State the hypotheses to be tested, the observed value ofthe test statistic, the corresponding p-value, and your decision. b. Using a 5% significance level, can we conclude that the cost of heating is related to the number ofwindows per house? State the hypotheses to be tested, the observed value of the test statistic, thecorresponding p-value, and your decision.c. Interpret the value of the coefficient for the house size in the estimated regression equation.

Hypotheses:The hypotheses for testing the significance of the relationship between independent…

Answered: As part of an effort to induce the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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