Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.1 pound-miles. The standard deviation of the cars' mileages is 7.20. The standard deviation of the cars' weights is 0.73. Estimate the correlation coefficient to the first decimal place.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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Assume that you have been provided the following information for a sample of cars

The covariance between weight and miles per gallon is equal to -4.1 pound-miles.

The standard deviation of the cars' mileages is 7.20.

The standard deviation of the cars' weights is 0.73.

Estimate the correlation coefficient to the first decimal place.

Expert Solution
Step 1: Determine the given data

The two variables of interest are: "miles per gallon" and "weight".

The sample covariance (as the given data involves a sample of cars) is given as: Sxy=4.1.

The sample standard deviation for the mileage, Sx=7.20.

And the sample standard deviation for weight, Sy=0.73.



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