Hi, I have this homework problem and I am struggling with it. Can anyone help me

Question

Hi, I have this homework problem and I am struggling with it. Can anyone help me figure this out (and list the steps to get to the final answer)?

4. The regression equation, 5.0+1.0 xi 2.5x2, has been fitted to 22 data points. The means of x, and x2 are 26 and 42, respectively. We also know SSR-3473, and SST-520.8. Determine the following. a. The mean value of y values in the data. b. The multiple standard error of the estimate c. The approximate 95% confidence interval for the mean of y whenever x,-22 and x,-30 d The approximate 95% prediction interval for an individual value whenever x,-22 & x2 = 30 e. Calculate the coefficient of multiple determination and exactly what does it mean? f. At what specific values o x and x2 would the confidence and prediction intervals be the narrowest? I, is the overall regression eq

Explanation / Answer

a. Mean of y = 5 + 26*1 + 2.5 * 42 = 136

b. standard error estimate = ((SST-SSR)/21)^0.5 = 2.874353

c. 95% confidence interval = [101.7443,  102.2557]

explanation: Ybar - z*se/(22 ), Ybar + z*se/(22)

d. 95% confidence interval = [100.8007,  103.1993]

explanation: Ybar - z*se/(22 ^ .5), Ybar + z*se/(22 ^ .5)

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