We have seen that two different tests for Ho B₁ = 0 versus H₁: B₁0, a t-test and a F-test. : Please show that the F-test statistic is equal to the t-test statistic squared. Hint: F-test statistic = t-test statistic MSreg MSres B₁ s.e.(B₁) " where MSreg = ²1(Y₁ - Y)², MSres = Σi-1(Y₁ - Ŷ₁)²/(n − 2). - =1

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.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...
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We have seen that two different tests for Ho B₁ = 0 versus H₁: B₁0, a t-test and a F-test.
:
Please show that the F-test statistic is equal to the t-test statistic squared.
Hint:
F-test statistic =
t-test statistic
MSreg
MSres
B₁
s.e.(B₁)
"
where M.Sreg = ₁(Ŷ₁ – Ý)², MSres = Σ₁₁ (Y₁ – Ŷ₁)²/(n − 2).
-
=1
Transcribed Image Text:We have seen that two different tests for Ho B₁ = 0 versus H₁: B₁0, a t-test and a F-test. : Please show that the F-test statistic is equal to the t-test statistic squared. Hint: F-test statistic = t-test statistic MSreg MSres B₁ s.e.(B₁) " where M.Sreg = ₁(Ŷ₁ – Ý)², MSres = Σ₁₁ (Y₁ – Ŷ₁)²/(n − 2). - =1
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