You are given the following data based on 15 observations:
= 367.693; 2 = 402.760; 3 = 8.0; ∑y2i = 66,042.269
∑x22i = 84,855.096; ∑ x23i = 280.0; ∑ yix2i= 74,778.346
∑yix3i = 4,250.9; ∑x2ix3i = 4,796.0
where lowercase letters, as usual, denote deviations from sample mean values.
a. Estimate the three multiple regression coefficients.
b. Estimate their standard errors.
c. Obtain R2and 2.
d. Estimate 95% confidence intervals for B2 and B3.
e. Test the statistical significance of each estimated regression coefficient using α = 5% two-tail..