Question

Write an equation for the line of best fit based on the trend line drawn. Use the points (60, 0) and (85,30) to find the slope of the equation. y = __ x - 72 Based on the trend line, what is the expected value of y when x = 90? (Use the trend line, not the equation) The expected value of y is __

Answer 1

To find the slope of the line of best fit, we first calculate the slope using the points (60, 0) and (85, 30).

Slope = (y2 - y1) / (x2 - x1)
Slope = (30 - 0) / (85 - 60)
Slope = 30 / 25
Slope = 1.2

Now that we have the slope, let's use it to find the equation of the line of best fit.
y = 1.2x - 72

To find the expected value of y when x = 90 based on the trend line:
y = 1.2(90) - 72
y = 108 - 72
y = 36

Therefore, the expected value of y when x = 90 based on the trend line is 36.