Question

The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept, (0, 62), and the point (6, 80) from the line on the scatter plot. What is the equation of the trend line? (*Note: Enter your response as an equation in y=mx+b form. Enter no spaces & use only lower-case letters. Ex: y=10x+5 ) *

Answer 1

y = 3x + 62

Explanation:

Trend line equation in the form :

y = mx + b

m = slope

b = intercept

Using the points :

(0, 62) ; (6, 80)

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0

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

m = 18 / 6

m = 3

Intercept, b = value of y when x = 0

(0, 62) ; hence, b = 62

y = 3x + b

y = 3x + 62