Suppose you have 17 data points and you calculate the sample correlation coefficient and find that...
Suppose you have 17 data points and you calculate the sample correlation coefficient and find that r = .45. Can you be 95% confident that a linear relation exists between the variables? If so, is the relation positive or negative? Justify you answer
Homework Answers
Answer
Significance level = 1 -confidence level
= 1 - 0.95
= 0.05
sample size n = 17
using r critical table, we get r critical= 0.482
Given correlation coefficient is r = 0.45
it is clear that the r calculated is less than r critical value, this means that there is no significant correlation between the variables.
Therefore, we can say that there is not sufficient evidence to conclude that a linear relation exists between the variables with 95% confidence level
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