Question

i. State the simple linear regression model. Verify manually the values of a and b as given in the output. ii. Provide 95% confidence intervals for ? and ? for the true regression model y = ? + ?x + ?. iii. Comment on the significance of the slope parameter. Clearly justify your comment by using both the critical value and the p–value. iv. Interpret the sample correlation coefficient and the coefficient of determination. v. Comment on the significance of the overall regression model. Clearly justify your comment by using both the critical value and the p–value. (b) Consider the following Statistical output for a multiple linear regression of literacy rate on number of newspapers, radios and TVs (per 1000 population): Regression Summary for Dependent Variable: Literacy Rate R = 0.77978366 R^2 = 0.60806255 F(3,6) = 3.1029 p-value = 0.11051 N = 10 b Std. Err. of b t-value p-value Intercept 0.48888 0.132007 3.703440 0.010047 Newspapers 0.00092 0.00922 0.997933 0.356841 Radios 0.00029 0.001004 0.288397 0.782746 TVs 0.000487 0.001120 0.434519 0.679103 i. Specify the multiple imputation model. ii. Comment on the significance of the overall multiple regression model. Clearly justify your comment by using both the critical value and the p-value.

          i. State the simple linear regression model. Verify manually the values of a and b as given in the output.
ii. Provide 95% confidence intervals for ? and ? for the true regression model y = ? + ?x + ?.
iii. Comment on the significance of the slope parameter. Clearly justify your comment by using both the critical value and the p–value.
iv. Interpret the sample correlation coefficient and the coefficient of determination.
v. Comment on the significance of the overall regression model. Clearly justify your comment by using both the critical value and the p–value.

(b) Consider the following Statistical output for a multiple linear regression of literacy rate on number of newspapers, radios and TVs (per 1000 population):

Regression Summary for Dependent Variable: Literacy Rate
R = 0.77978366    R^2 = 0.60806255
F(3,6) = 3.1029    p-value = 0.11051
N = 10

        b         Std. Err. of b    t-value     p-value
Intercept  0.48888   0.132007        3.703440   0.010047
Newspapers 0.00092  0.00922         0.997933   0.356841
Radios     0.00029  0.001004        0.288397   0.782746
TVs        0.000487 0.001120        0.434519   0.679103

i. Specify the multiple imputation model.
ii. Comment on the significance of the overall multiple regression model. Clearly justify your comment by using both the critical value and the p-value.

i. State the simple linear regression model. Verify manually the values of a and b as given in the output.
ii. Provide 95% confidence intervals for ? and ? for the true regression model y = ? + ?x + ?.
iii. Comment on the significance of the slope parameter. Clearly justify your comment by using both the critical value and the p–value.
iv. Interpret the sample correlation coefficient and the coefficient of determination.
v. Comment on the significance of the overall regression model. Clearly justify your comment by using both the critical value and the p–value.

(b) Consider the following Statistical output for a multiple linear regression of literacy rate on number of newspapers, radios and TVs (per 1000 population):

Regression Summary for Dependent Variable: Literacy Rate
R = 0.77978366 R^2 = 0.60806255
F(3,6) = 3.1029 p-value = 0.11051
N = 10

b Std. Err. of b t-value p-value
Intercept 0.48888 0.132007 3.703440 0.010047
Newspapers 0.00092 0.00922 0.997933 0.356841
Radios 0.00029 0.001004 0.288397 0.782746
TVs 0.000487 0.001120 0.434519 0.679103

i. Specify the multiple imputation model.
ii. Comment on the significance of the overall multiple regression model. Clearly justify your comment by using both the critical value and the p-value.

Added by Jay M.

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