The regression equation attached has been fitted to 20 data points.  The means of x1 and x2 are equal to 25 and 40 respectively.  The sum of squared differences between observed and predicted values of y have been calculated to be SSE = 133.5, and the sum of squared differences between y and the mean of y is SST = 490.8.  Determine the following: a. The multiple standard error of estimate. b.  The approximate 95 percent confidence interval for the mean of y whenever x1 = 22 and x2 = 29. c.  The approximate 95 percent prediction interval for an individual y value whenever x1 = 22 and x2 = 29. d.  Calculate and interpret the coefficient of determination for this regression

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The regression equation attached has been fitted to 20 data points.  The means of x1 and x2 are equal to 25 and 40 respectively.  The sum of squared differences between observed and predicted values of y have been calculated to be SSE = 133.5, and the sum of squared differences between y and the mean of y is SST = 490.8.  Determine the following:


a. The multiple standard error of estimate.

b.  The approximate 95 percent confidence interval for the mean of y whenever x1 = 22 and x2 = 29.

c.  The approximate 95 percent prediction interval for an individual y value whenever x1 = 22 and x2 = 29.

d.  Calculate and interpret the coefficient of determination for this regression

- 9=3.5+2.5x1+6.7x2
Transcribed Image Text:- 9=3.5+2.5x1+6.7x2
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