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Reading 11: Correlation and Regression - LOS h: Q9-11

Q9. Consider the regression results from the regression of Y against X for 50 observations:

Y = 5.0 - 1.5 X

The standard error of the estimate is 0.40 and the standard error of the coefficient is 0.45. The predicted value of Y if X is 10 is:

A)        10.

B)        20.

C)        -10.

Q10. Consider the regression results from the regression of Y against X for 50 observations:

Y = 5.0 + 1.5 X

The standard error of the coefficient is 0.50 and the standard error of the forecast is 0.52. The 95% confidence interval for the predicted value of Y if X is 10 is:

A)     {19.480 < Y < 20.052}.

B)     {18.980 < Y < 21.019}.

C)     {18.954 < Y < 21.046}.

Q11. A variable Y is regressed against a single variable X across 24 observations. The value of the slope is 1.14, and the constant is 1.3. The mean value of X is 1.10, and the mean value of Y is 2.67. The standard deviation of the X variable is 1.10, and the standard deviation of the Y variable is 2.46. The sum of squared errors is 89.7. For an X value of 1.0, what is the 95% confidence interval for the Y value?

A)   −1.68 to 6.56.

B)   −1.83 to 6.72.

C)   0.59 to 4.30.

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