Following is a simple linear regression model: Vi= Bo-Bixi-2 The following results were obtained from some...

 

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Following is a simple linear regression model: Vi= Bo-Bixi-2₁ The following results were obtained from some statistical software. R2 = 0.675 syx (regression standard error) = 4.199 n (total observations) = 55 Significance level = 0.05 = 5% Variable Parameter Estimate Std. Err. of Parameter Est. Intercept 0.830 0.275 Slope of X -0.818 0.313 Note: 1. For all the calculated numbers, keep three decimals. 2. For calculation-related questions, show the formulas and the major calculation procedures for full credit. 1. Write the fitted model (5 points). 2. Make a prediction using the fitted model for y when x=2.107 (5 points) 3. The intercept of the least-squares regression line is (5 points): 4. Suppose we want to test the hypotheses for the slope: H0: P₁ = 0, H1: B₁ #0 The value of the t statistic for this test is (10 points): 5. Suppose we want to test the hypotheses for the intercept: H0: B₁ = 0, H1: Bo= 0 The value of the t statistic for this test is (10 points): 6. A 95% confidence interval for the slope B1 in the simple linear regression model is (10 points): 7. A 95% confidence interval for the intercept Bo in the simple linear regression model is (10 points): 8. The correlation coefficient r between the x and y is (10 points): 9. What is its meaning of R2 (10 points)? 10. What is the meaning of the intercept in this simple linear regression model (5 points)? 11. SST? (10 points) 12. Are the intercept and slope significant at 5% significance level (Please use the hypothesis test instead of looking at the confidence intervals) (10 points)? Following is a simple linear regression model: Vi= Bo-Bixi-2₁ The following results were obtained from some statistical software. R2 = 0.675 syx (regression standard error) = 4.199 n (total observations) = 55 Significance level = 0.05 = 5% Variable Parameter Estimate Std. Err. of Parameter Est. Intercept 0.830 0.275 Slope of X -0.818 0.313 Note: 1. For all the calculated numbers, keep three decimals. 2. For calculation-related questions, show the formulas and the major calculation procedures for full credit. 1. Write the fitted model (5 points). 2. Make a prediction using the fitted model for y when x=2.107 (5 points) 3. The intercept of the least-squares regression line is (5 points): 4. Suppose we want to test the hypotheses for the slope: H0: P₁ = 0, H1: B₁ #0 The value of the t statistic for this test is (10 points): 5. Suppose we want to test the hypotheses for the intercept: H0: B₁ = 0, H1: Bo= 0 The value of the t statistic for this test is (10 points): 6. A 95% confidence interval for the slope B1 in the simple linear regression model is (10 points): 7. A 95% confidence interval for the intercept Bo in the simple linear regression model is (10 points): 8. The correlation coefficient r between the x and y is (10 points): 9. What is its meaning of R2 (10 points)? 10. What is the meaning of the intercept in this simple linear regression model (5 points)? 11. SST? (10 points) 12. Are the intercept and slope significant at 5% significance level (Please use the hypothesis test instead of looking at the confidence intervals) (10 points)?

Answer rating: 100% (QA)

SOLUTION The fitted model is y 0830 0818x To make a prediction for y when x 2107 we substitute the value of x into the fitted model y 0830 08182107 y 0830 1688 y 0858 Therefore the predicted value of ... View the full answer