Question

The scatter plot shows the number of years of experience

Answer 1

(a)

Let's use the given equation to calculate the value of y when x = 7:

`\begin{gathered} y=0.92x+7.88\\ \\ y=0.92\cdot7+7.88\\ \\ y=6.44+7.88\\ \\ y=14.32 \end{gathered}`

Therefore the hourly pay rate is $14.32.

(b)

Now, let's use x = 0 and calculate the value of y:

`\begin{gathered} y=0.92\cdot0+7.88\\ \\ y=7.88 \end{gathered}`

Therefore the hourly pay rate is $7.88.

(c)

The relation of increase in hourly pay rate by increase of years of experience is given by the slope of the line.

The slope is the constant value multiplying the variable x in the equation.

That means if the value of x increases by 1, the value of y increases by the slope value, that is, 0.92.

Therefore the predicted increase is $0.92.