Back to Use the equation of a linear model to solve problems in the context of bivariate measurement data — Problem 1 · Task Set 84

Linear Models -- Tutor Intake Assessment

This is a quick check on using the equation of a fitted line: writing it,
interpreting slope and y-intercept in context, and making predictions.
The goal is to see where to focus our first sessions together, not to
grade you. Work independently, without notes.

Grade 8·8 problems·~12 min·Common Core Math - Grade 8·container·8-sp-a-3

Work through problems with immediate feedback

Concepts

A linear model relating hours of daily sunlight to plant height
has a slope of 1.5. A student says, "The slope means the plant
is 1.5 cm tall." Is the student's interpretation correct?

Yes -- the slope directly tells you the plant's height

No -- the slope tells you how much the predicted height changes for each additional hour of sunlight, not the height itself

Yes, but only when x = 1

No -- the slope only applies to negative associations