First order multiple regression model, Basic Statistics

First order multiple regression model

Suppose you fit the first order multiple regression model: y= B_0 + B_1x_1 + B_2x_2 + e

to n= 25 data points and obtain the prediction equation: y(y hat) = 6.4 + 3.1x_1 + .92x_2

The estimated standard deviations of the sampling distributions of B_1 and B_2 are 2.3 and 2.7 respectively.

a) test H_0: B_1 = 0 against H_a: B_1 > 0. Use alpha =.05

b) test H_0: B_2 =0 against H_a: B_2 does not equal 0. Use alpha = .05

c) Find a 90% confidence interval for B_1. Interpret the interval

d) Find a 99% confidence interval for B_2. Interpret the interval.

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Basic Statistics: First order multiple regression model

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Basic Statistics: First order multiple regression model

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Basic Statistics: First order multiple regression model

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