The octane number, Y, of refined petroleum is related to the temperature, x, of the refining process. An experiment with sample size n = 11 gave a fitted least-squares line of with V(1) = (0.0193)². ŷ = 4.265+0.190x, a. Give the test statistic you should use to test H0: ẞ₁ = ẞ1,0 vs. Ha: ẞ₁ ẞ1,0 for some fixed value ẞ1,0. Briefly explain your choice. [Hint: with the information provided, determine whether you should use a Z or a t statistic.] b. Use your result from part (a) to test the hypothesis that the slope coefficient, B₁, is significantly different from 0 at significance level α = 0.05.
The octane number, Y, of refined petroleum is related to the temperature, x, of the refining process. An experiment with sample size n = 11 gave a fitted least-squares line of with V(1) = (0.0193)². ŷ = 4.265+0.190x, a. Give the test statistic you should use to test H0: ẞ₁ = ẞ1,0 vs. Ha: ẞ₁ ẞ1,0 for some fixed value ẞ1,0. Briefly explain your choice. [Hint: with the information provided, determine whether you should use a Z or a t statistic.] b. Use your result from part (a) to test the hypothesis that the slope coefficient, B₁, is significantly different from 0 at significance level α = 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 5E
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