Bob and Brian both used simple linear regression to predict the consumption of ice cream (ml/person) (Y) based on temperature (°F) (X). However, they used two different data sets to estimate the model: Bob's sample includes only children younger than 12 (r_XY = 0.6), while Brian's sample includes only adult consumers (r_XY = 0.4). Which of the following statements is always true? A) Bob and Brian will get different estimates of intercept. B) Bob and Brian will get different estimates of slope. C) Bob and Brian will get different prediction equations. D) Bob and Brian will get different R² for their models.

Question

Quizplus · Accepted Answer

The Answer of Bob and Brian both used simple linear regression to predict the consumption of ice cream (ml/person) (Y) based on temperature (°F) (X). However, they used two different data sets to estimate the model: Bob's sample includes only children younger than 12 (r_XY = 0.6), while Brian's sample includes only adult consumers (r_XY = 0.4). Which of the following statements is always true? A) Bob and Brian will get different estimates of intercept. B) Bob and Brian will get different estimates of slope. C) Bob and Brian will get different prediction equations. D) Bob and Brian will get different R² for their models.

Bob and Brian Both Used Simple Linear Regression to Predict