The following estimated regression équation is based on 10 observations was presented. ý = 29.1270 + 0.5906x1 + 0.4980z2 Here SST = 6,674.000, SSR = 6,176.625, 8, = 0.0766, and s, = 0.0657. a. Compute MSR and MSE (to 3 decimals). MSR = 6097.8 MSE = 59.804 8 b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = 99.35 The p-value is less than 0.01 At a = 0.05, the overall model is significant C. Perform a t test for the significance of B1 (to 2 decimals). Use a = 0.05. Use thet table. 7.71 The p-value is less than 0.01 At a = 0.05, there is a significant relationship between y and a1. d. Perform a t test for the significance of B2 (to 2 decimals). Use a= 0.05. Use thet table. ta = 7.58 The p-value is less than 0.01 At a = 0.05, there is a significant relationship between y and r2.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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B1
The following estimated regression equation is based on 10 observations was presented.
ŷ = 29.1270 + 0.5906x1 +0.4980x2
Here SST = 6,674.000, SSR = 6,176.625, sb, = 0.0766, and s, = 0.0657.
a. Compute MSR and MSE (to 3 decimals).
MSR = 6097.8
MSE = 59.804
b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table.
F =
99.35
The p-value is less than 0.01
At a = 0.05, the overall model is significant
c. Perform a t test for the significance of B1 (to 2 decimals). Use a = 0.05. Use the t table.
t8, =
7.71
The p-value is less than 0.01
At a = 0.05, there is a significant
relationship between y and æi.
d. Perform a t test for the significance of 82 (to 2 decimals). Use a = 0.05. Use thet table.
ta, =
7.58
The p-value is less than 0.01
At a = 0.05, there is a significant
relationship between y and æ2.
Transcribed Image Text:The following estimated regression equation is based on 10 observations was presented. ŷ = 29.1270 + 0.5906x1 +0.4980x2 Here SST = 6,674.000, SSR = 6,176.625, sb, = 0.0766, and s, = 0.0657. a. Compute MSR and MSE (to 3 decimals). MSR = 6097.8 MSE = 59.804 b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = 99.35 The p-value is less than 0.01 At a = 0.05, the overall model is significant c. Perform a t test for the significance of B1 (to 2 decimals). Use a = 0.05. Use the t table. t8, = 7.71 The p-value is less than 0.01 At a = 0.05, there is a significant relationship between y and æi. d. Perform a t test for the significance of 82 (to 2 decimals). Use a = 0.05. Use thet table. ta, = 7.58 The p-value is less than 0.01 At a = 0.05, there is a significant relationship between y and æ2.
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