(10 points)
Write an equation for the line of best fit based on the trend line drawn. Help Video
Use the points (65, 205) and (69, 220) to find the slope of the equation.
y = x - 49
Based on the trend line (not the equation), what is the expected value of y when x = 74?
The expected value of y is
225
wrong
My apologies for the error. Let's use the points (65, 205) and (69, 220) to find the slope of the equation first.
First, find the slope:
Slope = (change in y) / (change in x)
Slope = (220 - 205) / (69 - 65)
Slope = 15 / 4
Slope = 3.75
Now that we have the slope, we can form the equation using point-slope form:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is one of the points.
Using point (65, 205):
y - 205 = 3.75(x - 65)
y - 205 = 3.75x - 243.75
y = 3.75x - 38.75
Therefore, the equation for the line of best fit based on the trend line is:
y = 3.75x - 38.75
Now we can find the expected value of y when x = 74 using this equation:
y = 3.75 * 74 - 38.75
y = 277.5 - 38.75
y = 238.75
So, the expected value of y when x = 74 is 238.75.