Back to Interpret slope and intercept of a linear model — Problem 1 · Task Set 9

Exercises: Interpret the Slope and Intercept of a Linear Model

Work through each section in order. For every interpretation, write a full sentence about the real situation and include UNITS. Remember: the slope is a rate of change (y-units per x-unit) and the intercept is the predicted value when x = 0 (in y-units) — but the intercept is only meaningful when x = 0 is realistic and near the data.

Grade 9·20 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-id-c-7

Work through problems with immediate feedback

Warm-Up: Identify Slope and Intercept

These problems review identifying a and b in y = a + bx.

A linear model is written $y = a + bx$ . In the savings model $y = 200 + 50x$ (where $x$ is months and $y$ is dollars), which number is the slope and which is the intercept?

The slope is $50$ and the intercept is $200$ .

The slope is $200$ and the intercept is $50$ .

The slope is $x$ and the intercept is $y$ .

Both $50$ and $200$ are slopes.