SUMMARY OUTPUTRegression StatisticsMultiple R 0.4746 R square 0.2252 Adjusted R Square 0.2091 Standard Error 466.32 Observations 50 ANOVA df SS MS F Significance F Regression 1 3.03E+06 3.03E+06 13.95 0.0005 Residual 48 1.04E+07 2.17E+05 Total 49 135E+07 Coefficients Standard Error t Stat P-value Lower 95% Upper 95%Intercept 1,768.32 99.42 17.79 0.0000 1,568.42 1968.21Red Sox away game (1=yes, 0=no) 496.25 132.85 3.74 0.0005 229.13 763.38Is the relationship between Red Sox away games and average daily revenues significant at the 95% confidence level? Choose the correct answer with the corresponding correct reasoning. No, because R Square is less than 50%Yes, because the slope is positive.Yes, because the p-value of the intercept is less than 0.05Yes, because the p-value of the intercept is less than 0.95Yes, because the p-value of the independent variable is less than 0.05Yes, because the p-value of the independent variable is less than 0.95 Question 5 of 20SUMMARY OUTPUTRegression StatisticsMultiple R0.4746R square0.2252Adjusted R Square0.2091Standard Error466.32Observations50ANOVAdfSSMSSignificanceFFRegression3.03E+063.03E+0613.950.0005Residual481.04E+072.17E+05Total49135E+07CoefficientsStandardt StatP-UpperLower 95%Errorvalue95%Intercept1,768.3299.4217.790.00001,568.421968.21Red Sox away game(1=yes, 0=no)496.25132.853.740.0005229.13763.38Is the relationship between Red Sox away games and average daily revenues significant at the95% confidence level? Choose the correct answer with the corresponding correct reasoning.O No, because R Square is less than 50%O Yes, because the slope is positive.Yes, because the p-value of the intercept is less than 0.05Yes, because the p-value of the intercept is less than 0.95Yes, because the p-value of the independent variable is less than 0.05O Yes, because the p-value of the independent variable is less than 0.95O.

Solution: n= 50 observation k= 1 independent variable Here we need to test the significance of…

UMMARY OUTPUT Regression Statistics Multiple R 0.4746 R square 0.2252 Adjusted R Square 0.2091 Standard Error 466.32 Observations 50 ANOVA df SS MS F Significance F Regression 1 3.03E+06 3.03E+06 13.95 0.0005 Residual 48 1.04E+07 2.17E+05 Total 49 135E+07 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1,768.32 99.42 17.79 0.0000 1,568.42 1968.21 Red Sox away game (1=yes, 0=no) 496.25 132.85 3.74 0.0005 229.13 763.38 Is the relationship between Red Sox away games and average daily revenues significant at the 95% confidence level? Choose the correct answer with the corresponding correct reasoning. No, because R Square is less than 50% Yes, because the slope is positive. Yes, because the p-value of the intercept is less than 0.05 Yes, because the p-value of the intercept is less than 0.95 Yes, because the p-value of the independent variable is less than 0.05 Yes, because the p-value of the independent variable is less than 0.95

UMMARY OUTPUT Regression Statistics Multiple R 0.4746 R square 0.2252 Adjusted R Square 0.2091 Standard Error 466.32 Observations 50 ANOVA df SS MS F Significance F Regression 1 3.03E+06 3.03E+06 13.95 0.0005 Residual 48 1.04E+07 2.17E+05 Total 49 135E+07 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1,768.32 99.42 17.79 0.0000 1,568.42 1968.21 Red Sox away game (1=yes, 0=no) 496.25 132.85 3.74 0.0005 229.13 763.38 Is the relationship between Red Sox away games and average daily revenues significant at the 95% confidence level? Choose the correct answer with the corresponding correct reasoning. No, because R Square is less than 50% Yes, because the slope is positive. Yes, because the p-value of the intercept is less than 0.05 Yes, because the p-value of the intercept is less than 0.95 Yes, because the p-value of the independent variable is less than 0.05 Yes, because the p-value of the independent variable is less than 0.95

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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