Interpret linear models fit to two-variable data and use them to make predictions.
38 original two-variable data questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
A linear model relating x and y, fit to a set of data, is y = 2x + 18. According to the model, what is the predicted value of y when x = 4?
Substitute x = 4 into the model: y = 2(4) + 18 = 8 + 18 = 26.
A linear model relating x and y, fit to a set of data, is y = 6x - 2. According to the model, what is the predicted value of y when x = 14?
Substitute x = 14 into the model: y = 6(14) - 2 = 84 - 2 = 82.
A linear model relating x and y, fit to a set of data, is y = 3x + 12. According to the model, what is the predicted value of y when x = 4?
Substitute x = 4 into the model: y = 3(4) + 12 = 12 + 12 = 24.
A linear model relating x and y, fit to a set of data, is y = 3x + 3. According to the model, what is the predicted value of y when x = 10?
Substitute x = 10 into the model: y = 3(10) + 3 = 30 + 3 = 33.
A linear model relating x and y, fit to a set of data, is y = 5x + 2. According to the model, what is the predicted value of y when x = 10?
Substitute x = 10 into the model: y = 5(10) + 2 = 50 + 2 = 52.