A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2for a sample of N = 19 subjects. Use multiple linear regression to calculate the coefficient of multipledetermination and test the significance of the overall regression model. Use a significance level a = 0.02.X,X250.643.644.631.449.444.341.650.74329.244.22518.931.738.647.547.352.247.8367229.258.4 72.533.440.549.229.95452.546.1| 56.935.770.8- 10.7-5.445.533.621.160.946.659.338.784.653.349.25449.551.466.917.445.553.342.769.6| 86.8SS.egF =P-value =What is your decision for the hypothesis test?O Reject the null hypothesis, Ha: B = B = 0O Fail to reject HoWhat is your final conclusion?O The evidence supports the claim that one or more of the regression coefficients is non-zeroO The evidence supports the claim that all of the regression coefficients are zeroO There is insufficient evidence to support the claim that at least one of the regression coefficients isnon-zeroO There is insufficient evidence to support the claim that all of the regression coefficients are equal tozero|| ||

Solution. We will solve this question by using Excel ,run the regression analysis in the data…

for a sample of N= 19 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model. Use a significance level a = 0.02. X, | X, Y 50.6 43.6 44.6 31.4 49.4 50.7 44.3 41.6 43 29.2 44.2 31.7 25 18.9 38.6 47.5 47.3 52.2 47.8 36 72 29.2 33.4 58.4 72.5 49.2 40.5 29.9 54 52.5 70.8 -10.7 45.9 46.1 56.9 35.7 -5.4 45.5 33.6 21.1 60.9 46.6 59.3 38.7 84.6 53.3 49.2 54 49.5 51.4 66.9 17.4 45.5 53.3 42.7 69.6 86.8 SS.g F= P-value= What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B, = B = 0 O Fail to reject H.

for a sample of N= 19 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model. Use a significance level a = 0.02. X, | X, Y 50.6 43.6 44.6 31.4 49.4 50.7 44.3 41.6 43 29.2 44.2 31.7 25 18.9 38.6 47.5 47.3 52.2 47.8 36 72 29.2 33.4 58.4 72.5 49.2 40.5 29.9 54 52.5 70.8 -10.7 45.9 46.1 56.9 35.7 -5.4 45.5 33.6 21.1 60.9 46.6 59.3 38.7 84.6 53.3 49.2 54 49.5 51.4 66.9 17.4 45.5 53.3 42.7 69.6 86.8 SS.g F= P-value= What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B, = B = 0 O Fail to reject H.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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