Question

Use the table to answer the question.

This table displays the values of x and their corresponding y values, showing a pattern where y increases as x increases.
x y
0 8
4 9
8 10
12 11
16 12
Raul uses a calculator to find the line of least squares regression for the data in the table. What is the equation for this line? Round to the nearest hundredth, if necessary.

(1 point)
Responses

y=0.25x−8

y equals 0.25 x minus 8

y=−0.25x+8

y equals negative 0.25 x plus 8

y=0.25x+8

y equals 0.25 x plus 8

y=8x+0.25

Answer 1

y = 0.25x + 8

Slope = (12 − 8)/(16 − 0) = 0.25 and y-intercept at x = 0 is 8, so the regression line is y = 0.25x + 8.