The multiple linear regression modely = 0 +1x1 +2x2 +3x3

Chapter 13, Problem 13.1.2

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The multiple linear regression modely = 0 +1x1 +2x2 +3x3 +4x4 +5x5 +6x6 is tted to a data set of n =45 observations. The total sum of squares is SST=11.62, and the error sum of squares is SSE=8.95. (a) What is the coefcient of determination R2? (b) Write out the analysis of variance table. (c) What is the estimate of the error variance 2? (d) What is the p-value for the null hypothesis H0 : 1 = 2 = 3 = 4 = 5 = 6 =0 (e) If 3 =1.05 and s.e.( 3) =0.91, construct a two-sided 95% condence interval for 3.

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