Question

The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the points (0, 62) and (6, 80) from the line on the scatter plot. What is the equation of the trend line?

Answer 1

y = 3x + 62

Explanation:

Using the points :

(0, 62) and (6, 80)

Equation of trend line is in the form:

y = mx + c

Where m = slope ; c = intercept

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

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, c = value of y when x = 0

From (0, 62)

x = 0 ; y = 62

Then c = 62

Hence,

y = 3x + 62