MYP Standard Mathematics Linear Modelling Questionbank

A linear model is defined by the equation $y = 4x + 12$. Determine the value of the independent variable $x$ when the dependent variable $y$ is equal to 32.

If a scatter diagram shows that for every 1 unit increase in $x$, the corresponding increase in $y$ becomes significantly larger each time (for example, $y$ increases by 2, then by 5, then by 12), which term best describes the 'form' of this association?

True or False: In a scatter diagram, if the values of the dependent variable decrease as the values of the independent variable decrease, the association is described as having a positive direction.

In the linear model $y = -1.5x + 20$, where $x$ represents the number of hours a candle has been burning and $y$ represents its height in centimeters, what does the value represent in context?

Which term is used to describe how closely the data points in a scatter diagram cluster around a linear trend line?