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Chapter 2: Q29. (page 86)

For exercise 25-30, use the following information.

A median-fit line is a particular type of line of fit. Follow the steps below to find the equation of the median-fit line for the data.

29. Write an equation of the median-fit line.

Short Answer

Expert verified

The equation of median-fit line is y=21.4x-42,294.03.

Step by step solution

01

Step-1 – Slope of line.

We know that the equation of line is y=21.4x-42,296.2.

Also, it is given that the median-fit line is parallel to the line y=21.4x-42,296.2.

Thus, the slope of the median-fit line should be 21.4.

We know that the ordered pair (1993,356.17) satisfy the equation of median-fit line.

02

Step-2 – Substitute the respective values.

Point slope form y-y1=m(x-x1)

Substitute x1=1993,鈥�y1=356.17鈥�鈥�and鈥�鈥�m=21.4 into the point slope form.

y-356.17=21.4(x-1993)

03

Step-3 – Simplify the equation.

y鈭�356.17=21.4(x鈭�1993)y鈭�356.17=21.4x鈭�42,650.2y=21.4x鈭�42,294.03

The equation of median-fit line is y=21.4x-42,294.03.

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