Suppose the following estimated equation. Standard errors are in parentheses. Y = 3638.25 + 0.148X, + 11.13X2 + 3.20X3 n = 400 R² = 0.465 |(112.28) (0.017) (4.88) (1.45) You are to test if the variable of X3 shows a significant positive impact on the model. Answer the followings. a. State the hypotheses. b. What is the p-value? c. Should the variable of X3 be included in the model? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Suppose the following estimated equation. Standard errors are in parentheses.
Y = 3638.25 + 0.148X, + 11.13X2 + 3.20X3 n = 400
R2 = 0.465
|(112.28)
(0.017)
(4.88)
(1.45)
You are to test if the variable of X3 shows a significant positive impact on the model. Answer the followings.
a. State the hypotheses.
b. What is the p-value?
C.
Should the variable of X3 be included in the model? Explain.
Transcribed Image Text:Suppose the following estimated equation. Standard errors are in parentheses. Y = 3638.25 + 0.148X, + 11.13X2 + 3.20X3 n = 400 R2 = 0.465 |(112.28) (0.017) (4.88) (1.45) You are to test if the variable of X3 shows a significant positive impact on the model. Answer the followings. a. State the hypotheses. b. What is the p-value? C. Should the variable of X3 be included in the model? Explain.
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