The multiple linear regression model y 0 1x1 2x2 3x3 is fitted to a data set of n 12 observations (a) If 12 132 4 and s e ( 1) 27 6, construct a two sided 95 confidence interval for (b) What is the p value for the null hypothesis H0 1 0

Question: The multiple linear regression model y = 0 + 1x1 + 2x2 + 3x3 is fitted to a data set of n = 12 observations.

The multiple linear regression model
y = β0 + β1x1 + β2x2 + β3x3
is fitted to a data set of n = 12 observations.
(a) If β^12 = 132.4 and s.e.( β^1) = 27.6, construct a two-sided 95% confidence interval for
(b) What is the p-value for the null hypothesis H0: β1 = 0?

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