MYP Standard Mathematics Topic 4.5 Linear Modelling…

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 $-1.5$ represent in context?

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

The initial height of the candle is $1.5\text{ cm}$

The height of the candle decreases by $1.5\text{ cm}$ for every hour it burns

The height of the candle increases by $1.5\text{ cm}$ for every hour it burns

The candle will burn out in $1.5$ hours

MYP Standard Mathematics 4.5 Linear Modelling Questionbank

MYP Standard Mathematics 4.5 Linear Modelling Questionbank

MYP Standard Mathematics 4.5 Linear Modelling Questionbank

MYP Standard Mathematics 4.5 Linear Modelling Questionbank

MYP MYP Standard Mathematics Topic 4.5 Linear Modelling Questionbank