Linear regression and correlation coefficient
12th grade (Year 13 in England) · 16 questions · Common Core: HSS.ID.B.6, HSS.ID.C.7, HSS.ID.C.8
Name
Date
Score/ 16
Question 1
The regression line is ŷ = 2x + 19. A data point is (15, 44). What is its residual (actual − predicted)?
Answer
Question 2
A correlation coefficient is r = −0.4. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 3
The regression line is ŷ = 9x + 2. By how much does the predicted y change when x increases by 1?
Answer
Question 4
A correlation coefficient is r = 0.95. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 5
The regression line is ŷ = 4x − 2. A data point is (13, 53). What is its residual (actual − predicted)?
Answer
Question 6
A correlation coefficient is r = 0.95. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 7
The regression line is ŷ = 2x + 28. A data point is (9, 44). What is its residual (actual − predicted)?
Answer
Question 8
A correlation coefficient is r = −0.4. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 9
The regression line is ŷ = 4.5x + 20. By how much does the predicted y change when x increases by 1?
Answer
Question 10
A correlation coefficient is r = 0.95. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 11
The regression line is ŷ = 4x − 3. By how much does the predicted y change when x increases by 1?
Answer
Question 12
A correlation coefficient is r = 0.02. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 13
The regression line is ŷ = 8x + 19. By how much does the predicted y change when x increases by 1?
Answer
Question 14
A correlation coefficient is r = 0.02. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
Question 15
The regression line is ŷ = 1.5x − 2. By how much does the predicted y change when x increases by 1?
Answer
Question 16
A correlation coefficient is r = −0.92. How would you describe the correlation?
- A. strong positive
- B. strong negative
- C. weak positive
- D. weak negative
- E. no linear correlation
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