Question

Please help!!

Which two points would a line of fit go through to best fit the data?


(3, 6) and (7, 3)

(3, 7) and (9, 1)

(1, 9) and (5, 7)

(1, 7) and (2, 5)

Answer 1

(a) (3, 6) and (7, 3)

Explanation:

You want the two points that best describe a line of best fit through the data shown on the given graph.

Line of best fit

A calculator finds the slope of the line of best fit to be about -0.74. The pair of points that best matches that is ...

(3, 6) and (7, 3) . . . . choice A

The line through these points has a slope of -0.75 and is very close to the best-fit line. The attachment shows how the various point pairs relate to the computed line. The answer choice points are the larger red dots.

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Additional comment

The slope of the line of best fit is the ratio of the covariance of x and y to the variance of x:

m = cov(x, y)/var(x) = -7.744/10.455 ≈ -0.741

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