Fueleconomy gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table gives the city and highway fuel economy for a random sample of ten 2021 vehicles

a - Calculate the equation of the least squares regression line

b- What is the correlation coefficient

Question

18-11-2022
Mathematics

Answered

Fueleconomy gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table gives the city and highway fuel economy for a random sample of ten 2021 vehicles

a - Calculate the equation of the least squares regression line

b- What is the correlation coefficient

Answer :

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joaobezerra joaobezerra · Answer 1 · 2022-12-01T10:59:41-05:00

a) The equation of the least squares regression line is of: y = 1.26435x + 6.08367.

b) The correlation coefficient of the data is of: r = 0.9172.

How to obtain the linear regression equation?

The linear regression equation is obtained inserting the points of the data-set into a linear regression calculator.

From the table given by the image at the end of the answer, the points are given as follows:

(14.4, 25.5), (24.3, 37.4), (27.2, 36.5), (29.9, 45.5), (20.4, 28.7), (28.8, 46.1), (20.9, 33.6), (23.2, 38.3), (28.6, 41.3), (25.4, 35.3).

Inserting these points into a calculator, the linear regression equation, also called least squares regression line, is given as follows:

y = 1.26435x + 6.08367

What is the correlation coefficient?

The same points used to obtain the least squares regression line are inserted into a correlation coefficient calculator, and the numeric value of the coefficient is given as follows:

r = 0.9172.

Missing Information

The table is given by the image presented at the end of the answer.

More can be learned about linear regression at https://brainly.com/question/26755306

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