Enter the data representing the weight loss plan where x is the weekly hours of aerobic activity and y is the pounds lost per month. Use the regression equation to complete the statements. (.25, 1), (1, 1.5), (1.2, 3), (2.25, 2.25), (2.5, 3.5), (2.8, 4), (3, 5.5), (3.5, 4.5), (4.5, 5.5), (5, 7) A person who is active for 8 hours weekly could expect to lose pounds a month. To lose 5 pounds a month, a person should plan to be active for hours a week.

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Answer:

The first answer is 10.2 for the first column

The second answer is 3.6 for the second column

Step-by-step explanation:

These are the correct answers though i do not have a step by step explanation sorry

To loose 5 pounds a week, a person should be active for 30.91 weekly hours and a person who is active for 8 hours weekly could expect to lose 10.65 pounds.

What is regression equation?

In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.

From the figure shown below:

y = 0.02x^2 + 1.07x + 0.81 is the best fit for the data

Weight to be lost = 5 pounds a week

5 = 0.02x^2 + 1.07x + 0.81

0.02x^2 + 1.07x + (0.81 - 5) = 0

0.02x^2 + 1.07x - 4.19 = 0

Applying the quadratic formula:

x = (-b ± √(b^2 - 4ac))/2a

x = (-0.02 ± √(1.07^2 + 4(0.02)(4.19))/2*0.02

x = (-0.02 ± √1.4801)/0.04

x = (-0.02 ± 1.21)/0.04

x = 30.91 weekly hours

No. of hours the person is active = 8 hours

y = 0.02x^2 + 1.07x + 0.81

y = 0.02(8)^2 + 1.07(8) + 0.81

y = 0.02*(64) + 8.56 + 0.81

y = 10.65 pounds

Learn more about regression on:

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