a. Calculate the sample covariance. X Y -3 -9 13 9 5 12 b. Calculate the sample correlation. c. Describe in words the information given to us by the sample covariance and by the sample correlation. Explain how the correlation gives us more precise information.

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 12PPS

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Question

a. Calculate the sample covariance.
X Y
-3 -9
13 9
5 12
b. Calculate the sample correlation.
c. Describe in words the information given to us by the sample covariance and by the sample correlation.
Explain how the correlation gives us more precise information.
d. Explain why the covariance is not a good measure of the strength of the linear relationship between the two
variables.
e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9
f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.

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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