Linear Regression Models

AP Statistics· difficulty 2/5

Output predicts GPA from study time.

Predicting GPA from study time y-hat = 1.8 + 0.12 x x in hours/week, y = GPA R-Sq = 41%; n = 80

Which is the best one-sentence summary?

  • A

    Each extra hour of weekly study is associated with a predicted GPA increase of 0.12; ~41% of GPA variation is explained linearly

    check_circle
  • B

    Correlation is 1.0

  • C

    GPA equals 1.8 always

  • D

    Studying causes GPA to rise by 0.12 per hour

Explanation

Slope quantifies the predicted change; r-squared describes the proportion of variability explained. Causation is not implied.

Want 10 more like this — adaptive to your weak spots?

Related questions