You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.05. You have the following bivariate data set. y 77.4 61.2 29.4 72.3 36.7 71.8 22.8 71.2 19.5 55.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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What is the p-value for this correlation coefficient?
p-value =
| (Round to four decimal places.)
Critical Values = t(0.05/2,3) *
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,
to the right, between or left and right of the t-score(s).
Shade: Left of a value
Click and drag the arrows to adjust the values.
-4
-3
-2
-1
2
3
4
-1.5
Decision: Select an answer
Conclusion: [Select an answer
between the two variables.
the claim that there is a linear correlation
Transcribed Image Text:What is the p-value for this correlation coefficient? p-value = | (Round to four decimal places.) Critical Values = t(0.05/2,3) * Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s). Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2 3 4 -1.5 Decision: Select an answer Conclusion: [Select an answer between the two variables. the claim that there is a linear correlation
You wish to determine if there is a linear correlation between the two variables at a significance level of
a = 0.05. You have the following bivariate data set.
y
77.4
61.2
29.4
72.3
36.7
71.8
22.8
71.2
55.6
19.5
Ho: p
= 0
Hg: Select an answer v
? v0
Original claim =
OH:
O Ho
Note: In your calculations, except for the p-value and the graph, round both r and t to 3 decimal places in
ALL calculations. 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:
p2(n – 2)
1- 12
This t-score is from a t-distribution with n-2 degrees of freedom.
t=
Transcribed Image Text:You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.05. You have the following bivariate data set. y 77.4 61.2 29.4 72.3 36.7 71.8 22.8 71.2 55.6 19.5 Ho: p = 0 Hg: Select an answer v ? v0 Original claim = OH: O Ho Note: In your calculations, except for the p-value and the graph, round both r and t to 3 decimal places in ALL calculations. 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: p2(n – 2) 1- 12 This t-score is from a t-distribution with n-2 degrees of freedom. t=
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