sample of n = 20, you determine that SSR = 60 and SSE = 40. a) What is the value of F STAT ? b) At the a = 0.05 level of significance, what is the critical value? c) Based on your answers to (a) and (b), what statistical decision should you make? d) Compute the correlation coefficient by first computing r 2 and assuming that b 1 is negative. e) At the 0.05 level of significance, is there a significant correlation between X and Y?

sample of n = 20, you determine that SSR = 60 and SSE = 40. a) What is the value of F STAT ? b) At the a = 0.05 level of significance, what is the critical value? c) Based on your answers to (a) and (b), what statistical decision should you make? d) Compute the correlation coefficient by first computing r 2 and assuming that b 1 is negative. e) At the 0.05 level of significance, is there a significant correlation between X and Y?

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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Question

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 60 and SSE = 40.

a) What is the value of F STAT ?

b) At the a = 0.05 level of significance, what is the critical value?

c) Based on your answers to (a) and (b), what statistical decision should you make?

d) Compute the correlation coefficient by first computing r 2 and assuming that b 1 is negative.

e) At the 0.05 level of significance, is there a significant correlation between X and Y?

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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