You wish to determine if there is a positive linear correlation between the two variables at a significance level of a = 0.01. You have the following bivariate data set. X y 55.8 12 53 16.9 59.5 33.9 83.1 55.9 53.2 1.4 56.9 10.9 41.3 2.5 78.2 36.9 76 12.3 58.6 5.7 52.1 36.2 48.2 4.9 62.9 29.7 58.5 40.3 81.9 24.4 What is the correlation coefficient for this data set? To find the p-value for a correlation coefficient, you need to convert to a t-score: r² (n − 2) 1-² This t-score is from a t-distribution with n-2 degrees of freedom. t What is the p-value for this correlation coefficient? p-value = Your final conclusion is that... O There is insufficient sample evidence to support the claim the there is a positive correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.

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Question #17

You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set.

x y
55.8 12
53 16.9
59.5 33.9
83.1 55.9
53.2 1.4
56.9 10.9
41.3 2.5
78.2 36.9
76 12.3
58.6 5.7
52.1 36.2
48.2 4.9
62.9 29.7
58.5 40.3
81.9 24.4
Question 17
You wish to determine if there is a positive linear correlation between the two variables at a significance
level of a = 0.01. You have the following bivariate data set.
y
X
55.8
12
53
16.9
59.5 33.9
83.1 55.9
53.2 1.4
56.9 10.9
41.3 2.5
78.2 36.9
76
12.3
58.6
5.7
52.1 36.2
r =
48.2
4.9
62.9 29.7
58.5
81.9
<
40.3
24.4
>
What is the correlation coefficient for this data set?
To find the p-value for a correlation coefficient, you need to convert to a t-score:
r²(n-2)
1 - p²
t =
V
This t-score is from a t-distribution with n-2 degrees of freedom.
What is the p-value for this correlation coefficient?
p-value =
Your final conclusion is that...
O There is insufficient sample evidence to support the claim the there is a positive correlation
between the two variables.
O There is sufficient sample evidence support the claim that there is a statistically significant
positive correlation between the two variables.
Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.
Transcribed Image Text:Question 17 You wish to determine if there is a positive linear correlation between the two variables at a significance level of a = 0.01. You have the following bivariate data set. y X 55.8 12 53 16.9 59.5 33.9 83.1 55.9 53.2 1.4 56.9 10.9 41.3 2.5 78.2 36.9 76 12.3 58.6 5.7 52.1 36.2 r = 48.2 4.9 62.9 29.7 58.5 81.9 < 40.3 24.4 > What is the correlation coefficient for this data set? To find the p-value for a correlation coefficient, you need to convert to a t-score: r²(n-2) 1 - p² t = V This t-score is from a t-distribution with n-2 degrees of freedom. What is the p-value for this correlation coefficient? p-value = Your final conclusion is that... O There is insufficient sample evidence to support the claim the there is a positive correlation between the two variables. O There is sufficient sample evidence support the claim that there is a statistically significant positive correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.
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