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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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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