Question

The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 25 cashiers in Texas.

Answer 1

Given:

The sactter plot is showing the number of years of experience, x, and the pay in dollars per hour, y, for each of 25 cashiers in Texas.

The equation of line of best fit given is,

`y=0.92x+8.18`

Required:

To give exact answers to the questions using eqaution.

Step-by-step explanation:

We have the equation of line of best fit as:

`y=0.92x+8.18`

(a) For an increase of one year of exprerience, we have, x = 1.

Therefore, the predicted increase in the hourly pay rate (in dollars) is given by,

`\begin{gathered} y=0.92*(1)+8.18 \\ \Rightarrow y=0.92+8.18 \\ \Rightarrow y=9.1 \end{gathered}`

(b)For a cashier who doesn't have any experience, we have, x = 0.

Therefore, the predicted hourly pay rate (in dollars) is given by,

`\begin{gathered} y=0.92*(0)+8.18 \\ \Rightarrow y=0+8.18 \\ \Rightarrow y=8.18 \end{gathered}`

(c)For a cashier with 5 years of experience, we have, x = 5.

Therefore, the predicted hourly pay rate (in dollars) is given by,

`\begin{gathered} y=0.92*(5)+8.18 \\ \Rightarrow y=4.6+8.18 \\ \Rightarrow y=12.78 \end{gathered}`

Final Answer:

(a)The predicted increase in the hourly pay rate (in dollars) for x = 1 is given by,

`y=9.1`

(b)The predicted hourly pay rate (in dollars) for x = 0 is given by,

`y=8.18`

(c)The predicted hourly pay rate (in dollars) for x = 5 is given by,

`y=12.78`