Question

Plz answer all the questions i'm boutta fail this class

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package. You find out that the regression equation for this relationship is (cost of delivery) = 3.603*(weight) + 4.733. If a package you want to ship weighs 44 ounces, what would you expect to pay for the shipment?

A. 163.27

B.158.53

C.We do not know the observations in the data set, so we cannot answer that question.

D.10.9

E. 211.85

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package. You find out that the regression equation for this relationship is (cost of delivery) = 1.971*(weight) + 7.071. Interpret the slope.

A.When weight increases by 1 pound, cost of delivery increases by 7.071 dollars.

B.We are not given the dataset, so we cannot make an interpretation

C.When cost of delivery increases by 1 dollar, weight increases by 1.971 pounds.

D.When cost of delivery increases by 1 dollar, weight increases by 7.071 pounds.

E. When weight increases by 1 pound, cost of delivery increases by 1.971 dollars.

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.459*(height) + 0.85*(percent body fat) - 89.236. If a female athlete is 61 inches tall, has a 22 percentage of body fat, and a weight of 166.425, the residual is -35.038. Choose the correct interpretation of the residual.

A. The weight of the athlete is 35.038 pounds less than what we would expect.

B. The height of the athlete is 35.038 inches less than what we would expect.

C. The height of the athlete is 35.038 inches larger than what we would expect.

D.The weight of the athlete is 166.425 pounds less than what we would expect.

E.The weight of the athlete is 35.038 pounds greater than what we would expect.

While attempting to measure its risk exposure for the upcoming year, an insurance company notices a trend between the age of a customer and the number of claims per year. It appears that the number of claims keep going up as customers age. After performing a regression, they find that the relationship is (claims per year) = 0.28*(age) + 5.17. If a customer is 41 years old and they make an average of 12.95 claims per year, what is the residual?

A.24.35

B.-28.05

C.3.7

D.28.05

E. -3.7

Suppose that in a certain neighborhood, the cost of a home (in thousands) is proportional to the size of the home in square feet. The regression equation quantifying this relationship is found to be (price) = 0.024*(size) + 39.993. You look more closely at one of the houses selected. The house is listed as having 2033.702 square feet and is listed at a price of $104.498 (thousand). The residual is 15.696. Interpret this residual in terms of the problem.

A.The price of the house is 15.696 thousand dollars larger than what we would expect.

B. The price of the house is 104.498 thousand dollars larger than what we would expect.

C. The price of the house is 15.696 thousand dollars less than what we would expect.

D. The square footage is 15.696 square feet larger than what we would expect.

E. The square footage is 15.696 square feet less than what we would expect.

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.715*(height) + 1.108*(percent body fat) - 90.653. If a female athlete is 63 inches tall and has a 15 percentage of body fat, what is her expected weight?

A. Not enough information

B. 404.318

C.313.665

D. 49.876

E.223.012

Suppose the sales (1000s of $) of a fast food restaurant are a linear function of the number of competing outlets within a 5 mile radius and the population (1000s of people) within a 1 mile radius. The regression equation quantifying this relation is (sales) = 1.526*(competitors) + 6.09*(population) + 7.226. Suppose the sales (in 1000s of $) to be of a store that has 5 competitors and a population of 7 thousand people within a 1 mile radius are 54.151 (1000s $). What is the residual?

A. -3.335

B. 52.486

C. 3.335

D. Not enough information

Answer 1

Solution-1:

  (cost of delivery) = 3.603*(weight) + 4.733

for weight=44

  (cost of delivery) = 3.603*(44) + 4.733

= 163.265

163.265

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package. You find out that the regression equation for this relationship is (cost of delivery) = 1.971*(weight) + 7.071

slope=1.971

y/x=

for unit increase in weight,cost of delivery increases by 1.971

E. When weight increases by 1 pound, cost of delivery increases by 1.971 dollars

Solution-3:

residual=observed y-predicted y

=observed weight-predicted weight

the residual is -35.038.

means predicted weight is more then observed

A. The weight of the athlete is 35.038 pounds less than what we would expect.

Solution-4:

(claims per year) = 0.28*(age) + 5.17.

= 0.28*(41) + 5.17

expected (claims per year)= 16.65

observed (claims per year)=12.95

residual=Observed-predicted

=12.95 -16.65

=-3.7

E. -3.7