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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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True or False? In Exercises 25-30, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Data that are modeled by

y = 0.238 x + 25 have a negative correlation.

To determine

Whether the data that are modelled by y=0.238x+25 having a negative correlation or not.

Explanation

The direction of correlation is determined by whether the correlation is negative or positive. In a negative correlation, as the variable will increase, the other should decrease.

Consider a function that is having modelling data

y=ax+b

Now, consider a point (x1,y1) on the function. And according to negative correlation (x1+Δx,y1Δy), should satisfy Δx,Δy0.

Now, consider the given function modelling data at (0,25) and Δx=1, so Δx>0

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