3.1. Give the estimated regression function. Also, give the hypothesis, test statistic and the rejection region to assess whether the interactive terms contribute to reducing the mean variation of the response variable. Test at a = 0.05.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Use the following output in order to answer questions:
Analysis of Variance
Source
Regression
Error
Total
Source (Extra Sums of Squares)
SSR (X₁)
SSR(X₂|X₁)
SSR(X3|X₁, X₂)
SSR(X₁X₂X₁, X2, X3)
SSR(X₁ X3 X₁, X2, X3, X1X2)
DF
40
1
1
1
1
1
SS
350
200
550
160
100
80
5
5
MS
3.1. Give the estimated regression function. Also, give the hypothesis, test statistic and the rejection
region to assess whether the interactive terms contribute to reducing the mean variation of the
response variable. Test at a = 0.05.
3.2. How can the conclusion of Question 3.1 be confirmed? Explain the result.
Transcribed Image Text:Use the following output in order to answer questions: Analysis of Variance Source Regression Error Total Source (Extra Sums of Squares) SSR (X₁) SSR(X₂|X₁) SSR(X3|X₁, X₂) SSR(X₁X₂X₁, X2, X3) SSR(X₁ X3 X₁, X2, X3, X1X2) DF 40 1 1 1 1 1 SS 350 200 550 160 100 80 5 5 MS 3.1. Give the estimated regression function. Also, give the hypothesis, test statistic and the rejection region to assess whether the interactive terms contribute to reducing the mean variation of the response variable. Test at a = 0.05. 3.2. How can the conclusion of Question 3.1 be confirmed? Explain the result.
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