The multiple linear regression model y 0 1x1 2x2 3x3 is lined to a data set of n 15 observations (a) If 1 0 954 and s e ( 1) 0 616, construct a two sided 95 confidence interval for 1 (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 lined to a data set of n = 15 observations.

The multiple linear regression model
y = β0 + β1x1 + β2x2 + β3x3
is lined to a data set of n = 15 observations.
(a) If β^1 = 0.954 and s.e. (β^1) = 0.616, construct a two-sided 95% confidence interval for β^1.
(b) What is the p-value for the null hypothesis H0 : β1 = 0?

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