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(i) Write down the null hypothesis, that the overall regression is non-significant. O Ho :B= Ba O Ho: By = y=0 © Ha : Bo = B = y=0 O Ho : Ba=0 d) Test the null hypothesis that the overall regression is non-significant using a significance level of 5%. Complete the test of hypothesis versus a suitable alternative hypothesis. You are given that F(2,22,0.95)= 3.44 The analysis of variance table above indicates that: ○ The hypothesis Ho B₁ = B20 can be rejected at the significance level α = 0.05. O The hypothesis Ho: B₁ =B₂ = 0 can be rejected at the significance level a = 0.05. There is no evidence to reject the hypothesis Ho B₁ = 0 at the significance level a = 0.05. O There is no evidence to reject the hypothesis Ho: Bo=0 at the significance level a=0.05. (e) Calculate the lower and upper limits of the confidence interval of B₁ at 95% significance level. You are given that t(22,0.05/2)=2.074. Give your answers correct to 3 decimal places. Lower Limit Upper Limit When fitting the model E[Y] = 80 + B₁1;+822; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX= 219 10232 3055 133899 133899 6725688) XTY= 7361 337051 (XX)= | 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129 Construct a multiple linear regression model Yin terms of the explanatory variables 1,2 a) What is the value of the least squares estimate of the regression coefficient for? Give your answer correct to 3 decimal places. b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?

(i) Write down the null hypothesis, that the overall regression is non-significant. O Ho :B= Ba O Ho: By = y=0 © Ha : Bo = B = y=0 O Ho : Ba=0 d) Test the null hypothesis that the overall regression is non-significant using a significance level of 5%. Complete the test of hypothesis versus a suitable alternative hypothesis. You are given that F(2,22,0.95)= 3.44 The analysis of variance table above indicates that: ○ The hypothesis Ho B₁ = B20 can be rejected at the significance level α = 0.05. O The hypothesis Ho: B₁ =B₂ = 0 can be rejected at the significance level a = 0.05. There is no evidence to reject the hypothesis Ho B₁ = 0 at the significance level a = 0.05. O There is no evidence to reject the hypothesis Ho: Bo=0 at the significance level a=0.05. (e) Calculate the lower and upper limits of the confidence interval of B₁ at 95% significance level. You are given that t(22,0.05/2)=2.074. Give your answers correct to 3 decimal places. Lower Limit Upper Limit When fitting the model E[Y] = 80 + B₁1;+822; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX= 219 10232 3055 133899 133899 6725688) XTY= 7361 337051 (XX)= | 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129 Construct a multiple linear regression model Yin terms of the explanatory variables 1,2 a) What is the value of the least squares estimate of the regression coefficient for? Give your answer correct to 3 decimal places. b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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Please could you help me answer parts d and e. Thanks

(i) Write down the null hypothesis, that the overall regression is non-significant. O Ho :B= Ba O Ho: By = y=0 © Ha : Bo = B = y=0 O Ho : Ba=0 d) Test the null hypothesis that the overall regression is non-significant using a significance level of 5%. Complete the test of hypothesis versus a suitable alternative hypothesis. You are given that F(2,22,0.95)= 3.44 The analysis of variance table above indicates that: ○ The hypothesis Ho B₁ = B20 can be rejected at the significance level α = 0.05. O The hypothesis Ho: B₁ =B₂ = 0 can be rejected at the significance level a = 0.05. There is no evidence to reject the hypothesis Ho B₁ = 0 at the significance level a = 0.05. O There is no evidence to reject the hypothesis Ho: Bo=0 at the significance level a=0.05. (e) Calculate the lower and upper limits of the confidence interval of B₁ at 95% significance level. You are given that t(22,0.05/2)=2.074. Give your answers correct to 3 decimal places. Lower Limit Upper Limit
Transcribed Image Text:(i) Write down the null hypothesis, that the overall regression is non-significant. O Ho :B= Ba O Ho: By = y=0 © Ha : Bo = B = y=0 O Ho : Ba=0 d) Test the null hypothesis that the overall regression is non-significant using a significance level of 5%. Complete the test of hypothesis versus a suitable alternative hypothesis. You are given that F(2,22,0.95)= 3.44 The analysis of variance table above indicates that: ○ The hypothesis Ho B₁ = B20 can be rejected at the significance level α = 0.05. O The hypothesis Ho: B₁ =B₂ = 0 can be rejected at the significance level a = 0.05. There is no evidence to reject the hypothesis Ho B₁ = 0 at the significance level a = 0.05. O There is no evidence to reject the hypothesis Ho: Bo=0 at the significance level a=0.05. (e) Calculate the lower and upper limits of the confidence interval of B₁ at 95% significance level. You are given that t(22,0.05/2)=2.074. Give your answers correct to 3 decimal places. Lower Limit Upper Limit
When fitting the model E[Y] = 80 + B₁1;+822; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX= 219 10232 3055 133899 133899 6725688) XTY= 7361 337051 (XX)= | 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129 Construct a multiple linear regression model Yin terms of the explanatory variables 1,2 a) What is the value of the least squares estimate of the regression coefficient for? Give your answer correct to 3 decimal places. b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?
Transcribed Image Text:When fitting the model E[Y] = 80 + B₁1;+822; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX= 219 10232 3055 133899 133899 6725688) XTY= 7361 337051 (XX)= | 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129 Construct a multiple linear regression model Yin terms of the explanatory variables 1,2 a) What is the value of the least squares estimate of the regression coefficient for? Give your answer correct to 3 decimal places. b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?
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