Question

Which of the following statements is true? a. In a simple linear regression model, if the regression slope coefficient is negative, then the standard error of the estimate will be positive. b. All of these. c. In a simple linear regression model, the regression slope coefficient will have the same sign as the correlation coefficient. d. The independent variable is not useful in predicting the response variable, if the slope of the line of means equals 0.

Name: which of the following statements is true a in a simple linear regression model if the regression slope coefficient is negative then the standard error of the estimate will be positive b all 6614
Uploaded: 2023-07-09T16:49:47-08:00
Duration: 2 min 22 s
Channel: Adi S
Description: which of the following statements is true a in a simple linear regression model if the regression slope coefficient is negative then the standard error of the estimate will be positive b all 6614

          Which of the following statements is true?
a. In a simple linear regression model, if the regression slope coefficient is negative, then the standard error of the estimate will be positive.
b. All of these.
c. In a simple linear regression model, the regression slope coefficient will have the same sign as the correlation coefficient.
d. The independent variable is not useful in predicting the response variable, if the slope of the line of means equals 0.

Added by Victoria S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

07/09/2023

Step 1

The standard error of the estimate is always positive, regardless of the sign of the regression slope coefficient. So, this statement is true. b. We need to check all the statements to determine if this is true. c. In a simple linear regression model, the Show more…

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Which of the following statements is true? a. In a simple linear regression model, if the regression slope coefficient is negative, then the standard error of the estimate will be positive. b. All of these. c. In a simple linear regression model, the regression slope coefficient will have the same sign as the correlation coefficient. d. The independent variable is not useful in predicting the response variable, if the slope of the line of means equals 0.