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The following estimated regression equation based on 10 observations was presented. ŷ = 26.1570+ 0.5205x₁ +0.495x2 502 Here, SST = 6,721.125, SSR = 6,212.375, Sb₁ = 0.0816, and (a) Compute MSR and MSE. = 0.0568. (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform a t test for the significance of ₁. Use α = 0.05.

The following estimated regression equation based on 10 observations was presented. ŷ = 26.1570+ 0.5205x₁ +0.495x2 502 Here, SST = 6,721.125, SSR = 6,212.375, Sb₁ = 0.0816, and (a) Compute MSR and MSE. = 0.0568. (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform a t test for the significance of ₁. Use α = 0.05.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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502 Here, SST = 6,721.125, SSR = 6,212.375, sh = 0.0816, and s The following estimated regression equation based on 10 observations was presented. y = 26.1570 +0.5205x₁ + 0.495x2 (a) Compute MSR and MSE. (b) Compute F and perform the appropriate F test. Use α = 0.05. (c) Perform a t test for the significance of ₁. Use α = 0.05. (d) Perform a t test for the significance of $₂. Use a = 0.05. Step 1 (a) Compute MSR and MSE. The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to regression and p is the number of independent variables in the estimated regression equation. MSR = MSR = The estimated regression equation was given to be y = 26.1570+ 0.5205x₁ + 0.495x₂. This equation has two independent variables, so p = 0.05 X . The value of SSR was given to be SSR = 6,212.375. Use these to find the value of MSR, rounding the result to three decimal places. SSR Р 2 = 0.0568. SSR P 6,212.375 3106.1875
Transcribed Image Text:502 Here, SST = 6,721.125, SSR = 6,212.375, sh = 0.0816, and s The following estimated regression equation based on 10 observations was presented. y = 26.1570 +0.5205x₁ + 0.495x2 (a) Compute MSR and MSE. (b) Compute F and perform the appropriate F test. Use α = 0.05. (c) Perform a t test for the significance of ₁. Use α = 0.05. (d) Perform a t test for the significance of $₂. Use a = 0.05. Step 1 (a) Compute MSR and MSE. The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to regression and p is the number of independent variables in the estimated regression equation. MSR = MSR = The estimated regression equation was given to be y = 26.1570+ 0.5205x₁ + 0.495x₂. This equation has two independent variables, so p = 0.05 X . The value of SSR was given to be SSR = 6,212.375. Use these to find the value of MSR, rounding the result to three decimal places. SSR Р 2 = 0.0568. SSR P 6,212.375 3106.1875
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