1.Given the linear regression equation:

y = 1.6 + 3.5x₁ - 7.9x₂ + 2.0x₃

a.Supposed the n = 12 data points were used to construct the given regression equation above, and that the standard error for the coefficient x₁ is 0.419. Construct a 90% confidence interval for the coefficient of x₁.

b.(2 Points) Using the information from part (c) and 5% level of significance, test the claim that the coefficient of x₁ is different from 0. What does your conclusion mean in relation to x₁ predicting y?