Which value of r is impossible?

Answer: 1.20 The correlation coefficient r must satisfy -1 <= r <= 1, so 1.20 is impossible.

Which value of r is most plausible?

Answer: 0.05 Points are scattered with no clear linear trend, so r is near zero.

What is the most appropriate conclusion?

Answer: Correlation does not imply causation; a lurking variable (heat) likely explains both A strong correlation can arise from a confounding variable such as hot weather. Causation cannot be inferred from observational data.

AP Statistics · Topic 2.5

Correlation Practice

Q: Which value of r is most plausible?

Answer: 0.05 Points are scattered with no clear linear trend, so r is near zero.

Q: What is the most appropriate conclusion?

Answer: Correlation does not imply causation; a lurking variable (heat) likely explains both A strong correlation can arise from a confounding variable such as hot weather. Causation cannot be inferred from observational data.

Part of Exploring Two-Variable Data.(DAT-1.B)

Practice questions

Want a predicted score for the whole AP STAT exam? Take the 20-question diagnostic and Lumi will plan the rest.

Take diagnosticarrow_forward Practice all 2.5

Sample questions

5 of 31 — sign in to practice the rest with adaptive difficulty and mastery tracking.

Sample 1difficulty 1/5
$A student computes a correlation coefficient r for two quantitative variables.$
$Which value of r is impossible?$
- A
  $0.00$
- B
  $0.42$
- C
  $1.20$
  check_circle
- D
  $-0.95$
Why
$The correlation coefficient r must satisfy -1 <= r <= 1, so 1.20 is impossible.$
View full solution & statsarrow_forward
Sample 2difficulty 2/5
$A scatterplot of points is shown.$
$Which value of r is most plausible?$
- A
  $-0.85$
- B
  $0.85$
- C
  $0.05$
  check_circle
- D
  $1.00$
Why
$Points are scattered with no clear linear trend, so r is near zero.$
View full solution & statsarrow_forward
Sample 3difficulty 2/5
$A study finds r = 0.82 between ice-cream sales and drowning incidents across summer days.$
$What is the most appropriate conclusion?$
- A
  $Eating ice cream causes drowning$
- B
  $Correlation does not imply causation; a lurking variable (heat) likely explains both$
  check_circle
- C
  $Drowning causes ice-cream sales$
- D
  $The correlation must be a calculation error$
Why
$A strong correlation can arise from a confounding variable such as hot weather. Causation cannot be inferred from observational data.$
View full solution & statsarrow_forward
Sample 4difficulty 2/5
$The scatterplot shows$
- A
  $Curved relationship$
- B
  $No association$
- C
  $Positive linear association$
- D
  $Negative linear association$
  check_circle
Why
$y decreases as x increases, roughly linearly.$
View full solution & statsarrow_forward
Sample 5difficulty 2/5
$The scatterplot shows$
- A
  $Positive linear association$
  check_circle
- B
  $No association$
- C
  $Negative linear association$
- D
  $A curved relationship$
Why
$As x increases, y increases roughly linearly \to positive linear association.$
View full solution & statsarrow_forward

Predict my AP scorearrow_forward