cookiemonsterak
Answered

the correlation r between the age of a car x , and the cars mileage, y is 0.768. what percent of the variation in mieage cannot be explained by diffrences in the cars ages?

A-23.2%

b-41.0%

C-59.0%

B-76.8%

Verified Answer :

MissPhiladelphia

The correlation
r between the age of a car x , and the cars mileage, y is 0.768. this means
that 76.8 % of the variation in mileage can be explained by the differences in
the cars ages, 100 – 76.8 = 23.2% of the variation cannot be explained

aramisdegaula1977

Answer:

C-59.0%

Step-by-step explanation:

The percentage of variation of a variable Y explained by a variable X, in a simple linear regression model, is given by the coefficient of determination that is calculated through r^2.


In this case, r = 0.768, whereby \(r^2 = 0.768^2 = 0.5898\). That is, 58.98% of the variation in the number of miles traveled by a car is explained by the age of the car.

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