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 Skip to navigation

220. wrong

I apologize for the mistake. To find the equation for the line of best fit based on the points (65, 205) and (69, 220), we first need to calculate the slope using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

Using the points (65, 205) and (69, 220):

m = (220 - 205) / (69 - 65)
m = 15 / 4
m = 3.75

Now that we have the slope, we can use it in the point-slope form of a linear equation to find the equation for the line of best fit:

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.

To find the expected value of y when x = 74 based on this equation:

y = 3.75(74) - 38.75
y = 277.5 - 38.75
y = 238.75

Therefore, the expected value of y when x = 74 is 238.75.