Question

the scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 23 cashiers in ohio. use the equation of the line of best fit, y = 0.96x+7.94, to answer the questions below. give exact answers, not rounded approximations. (a) for an increase of one year of experience, what is the predicted increase in the hourly pay rate? (b) what is the predicted hourly pay rate for a cashier who doesnt have any experience? (c) what is the predicted hourly pay rate for a cashier with 5 years of experience?

Explanation:

Step1: Find the slope for part (a)

The equation of the line is $y = 0.96x+7.94$, and the slope of a linear - equation $y = mx + b$ is $m$. So, when $x$ (years of experience) increases by 1, the change in $y$ (hourly pay) is equal to the slope. The increase in the hourly pay rate for an increase of one - year of experience is $0.96$.

Step2: Find the pay for part (b)

When $x = 0$ (no experience), substitute $x = 0$ into the equation $y=0.96x + 7.94$. Then $y=0.96\times0 + 7.94=7.94$.

Step3: Find the pay for part (c)

When $x = 5$ (5 years of experience), substitute $x = 5$ into the equation $y = 0.96x+7.94$. So $y=0.96\times5+7.94=4.8 + 7.94 = 12.74$.

Answer:

(a) $0.96$
(b) $7.94$
(c) $12.74$