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

6 pounds

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=(y_2-y_1)/(x_2-x_1)`

`$m=(7-4)/(5-3)`

`$m=(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.