residuals and influential points

Review residuals and influential points for AP Statistics and try 2 free AP-style practice questions. 19 questions on this topic in AP Statistics · Unit 2 · Exploring Two-Variable Data.

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Question 1

A veterinary clinic records the age, in years, and annual visit cost, in dollars, for a random sample of 12 dogs. A scatterplot, shown below, shows a moderate positive linear trend for 11 of the dogs, but one dog, Dog R, has an age close to the average age in the sample yet an annual visit cost far above what the trend predicts. If Dog R is removed from the data set, which of the following is most likely true of the least-squares regression line?

Question 2

A wildlife reserve fits the least-squares model $\hat{y} = 15 + 6x$ to predict the body mass of an animal, in kilograms, from its age in years. For one animal aged $x = 4$ years the recorded body mass is 47 kilograms. Which of the following is the residual for that animal?

17 more questions on this topic

Full practice for AP Statistics · Unit 2 · Exploring Two-Variable Data: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.

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Answer, then see why

The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?

Not quite. The answer is B.

Why the other options are wrong

AI grading for free-response

Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.

Question 13 / 4 pts

Part a1 / 1 pts

Point 1: Earned

94% sure

Reason: Correctly identifies demand for gasoline as inelastic.

Evidence: "The price of gasoline rises and the quantity falls only a little."

Part b2 / 3 pts

Point 1: Earned

91% sure

Reason: Graph shows relatively inelastic demand.

Evidence: Draws a steep demand curve.

Point 2: Earned

88% sure

Reason: Correct new equilibrium price.

Evidence: Shifts supply left, P1 → P2.

Point 3: Not earned

82% sure

Reason: With inelastic demand, a price increase raises total revenue.

Evidence: "Revenue goes down."

Residuals and influential points: AP Statistics Practice Questions | S&D Academy