Question

Mandy drew a regression line for this paired data set.

x 1 2 3 4 5
y 10 9 9 5 2
Her line passed through (2, 9) and (4, 5).

What is the equation of Mandy's regression line?

Enter your answer, in slope-intercept form, in the box.

Answer 1

y=-2x+13

Explanation:

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Answer 2

y = -2x + 13

Explanation:

Mandy's line passed through points (2, 9) and (4, 5).

To find such line, first, we need to find its slope, with the following formula

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`

Using the given points in the fomula, we have

`m=(5-9)/(4-2)=(-4)/(2)=-2`

So, the slope of Mandy's line is -2.

Now, we use the point-slope formula to find the equation of the line

`y-y_(1) =m(x-x_(1) )`

`y-5=-2(x-4)\\y=-2x+8+5\\y=-2x+13`

Therefore, Mandy's regression line is y = -2x + 13