In a multiple linear regression with 40 observations, the following sample regression equation is obtained: yˆy^ = 12.3

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In a multiple linear regression with 40 observations, thefollowing sample regression equation is obtained:yˆy^ = 12.3 + 2.0x1 −1.0x2 with se =5.36. Also, when x1 equals 13and x2 equals7, se(yˆ0)se(y^0) = 2.00.(You may find it useful to referencethe t table.)a. Construct the 95% confidence intervalfor E(y)if x1 equals 13and x2 equals 7. (Roundfinal answers to 2 decimal places.)
b. Construct the 95% prediction intervalfor y if x1 equals13 and x2 equals7. (Round final answers to 2 decimalplaces.)
c. Which interval is wider?
multiple choice
Prediction interval since it does not include the variabilitycaused by the error term.
Confidence interval since it does not include the variabilitycaused by the error term.
Confidence interval since it includes the variability caused bythe error term.
Prediction interval since it includes the variability caused bythe error term.