Interpret linear models fit to two-variable data and use them to make predictions.
85 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 = 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.
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 + 11. According to the model, what is the predicted value of y when x = 10?
Substitute x = 10 into the model: y = 3(10) + 11 = 30 + 11 = 41.
A linear model relating x and y, fit to a set of data, is y = 6x - 1. According to the model, what is the predicted value of y when x = 2?
Substitute x = 2 into the model: y = 6(2) - 1 = 12 - 1 = 11.
A linear model relating x and y, fit to a set of data, is y = 3x + 6. According to the model, what is the predicted value of y when x = 3?
Substitute x = 3 into the model: y = 3(3) + 6 = 9 + 6 = 15.