Question

A show pony weighs at least 900 pounds. After a recent weigh in, the owner of a show pony amended the diet of his pony, increasing the animal's caloric intake, with the hope that the pony would gain weight to be shown in a few months. The data shown in the table and scatter plot below represents the pony's additional daily caloric intake and recorded weight gain (in pounds) of the show pony over the last ten weeks.


Additional Daily Calories Consumed Weight Gained

(in pounds)
1,500 3
1,575 7
1,650 3
1,725 4
1,800 8
1,875 9
1,950 13
2,025 7
2,100 17
2,175 15



Part A: Use the data shown in the table and scatter plot to create an approximate equation for the line of best fit.

Part B: In complete sentences, describe the show pony's weight gain in terms of the units used in the data.

Part C: According to the equation for the best fit line for the data, approximately how much weight would you expect the pony to gain in a week if its additional daily caloric intake for that week is 2,300 calories?

Answer 1

The linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111.

How to express the equation?

A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111.

where y-hat is the predicted value for the recorded weight gain (in pounds)

x is the additional daily caloric intake.

b) As the pony's additional calorie intake increases, the weight gain also increases in pounds

c) Set x equal to 2300 and solve for y-hat:

y-hat = 0.018x - 24.5111

y-hat = 0.018(2300) - 24.5111

y-hat = 41.4 - 24.5111

y-hat = 16.8889

So our predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1