Question

Use the trend line for data in the scatter plot to make a prediction. about how many pounds were lost per month with 4 hours of weekly aerobic activity?
a) 3 pounds
b) 4.5 pounds
c) 6 pounds
d) 7.5 pounds

PLEASEE HELP

Answer 1

Answer:

6 pounds

Step-by-step explanation:

got it right on the edge

Answer 2

Given:

Scatter plot of weight loss plan.

To find:

how many pounds were lost per month with 4 hours of weekly.

Solution:

Take any two points on the trend line.

Let the points are (3, 4) and (5, 7).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{7-4}{5-3}$

$m=\frac{3}{2}$

m = 1.5

Using point-slope formula:

$y-y_1=m(x-x_1)$

$y-4=1.5(x-3)$

$y-4=1.5x-4.5$

Add 4 on both sides.

$y=1.5x-0.5$

Approximate equation of a line is y = 1.5x - 0.5

Substitute x = 4.

y = 1.5(4) - 0.5

y = 6 - 0.5

y = 5.5

Which is nearly equal to 6.

Also see in the scatter plot, y-value for the corresponding value of 4 in x-axis is 6.

Hence 6 pounds lost per month with 4 hours of weekly aerobic activity.