Use the following information for questions:
The data from a representative sample of 43 male college students was used to determine a regression equation for y = weight (lbs) and x = height (inches). The least squares regression equation was $\hat{y}$ = -318 + 7.00 x. The error sum of squares (SSE) was 23617; the total sum of squares (SSTO) = 34894.
-What is the estimated standard deviation for the regression, s?
A) 24.0
B) 23.7
C) 23.4
D) None of the above

Question

Use the following information for questions:
 The data from a representative sample of 43 male college students was used to determine a regression equation for y = weight (lbs) and x = height (inches). The least squares regression equation was $\hat{y}$ = -318 + 7.00 x. The error sum of squares (SSE) was 23617; the total sum of squares (SSTO) = 34894.
-What is the estimated standard deviation for the regression, s?
A) 24.0
B) 23.7
C) 23.4
D) None of the above

Quizplus · Accepted Answer

The estimated standard deviation for the regression, s, is the square root of the error sum of squares (SSE) divided by the degrees of freedom (df). The degrees of freedom is equal to the sample size minus 2. In this case, the sample size is 43, so the degrees of freedom is 41. Therefore, the estimated standard deviation for the regression is:s = sqrt(SSE / df) = sqrt(23617 / 41) = 24.0

Use the Following Information for Questions: the Data from a Representative

Use the Following Information for Questions:
the Data from a Representative