To answer the questions based on the line of best fit given by the equation \( y = 0.92x + 7.98 \), we will interpret the components of this equation:
- \( y \) represents the hourly pay rate.
- \( x \) represents the number of years of experience.
- The slope of the line (\( 0.92 \)) indicates how much the hourly pay rate increases for each additional year of experience.
- The y-intercept (\( 7.98 \)) represents the predicted hourly pay rate when the number of years of experience is 0.
Now we can answer the questions:
(a) For an increase of one year of experience, what is the predicted increase in the hourly pay rate?
The slope of the line is \( 0.92 \). This means that for each additional year of experience, the predicted hourly pay rate increases by \( 0.92 \).
Answer: 0.92
(b) What is the predicted hourly pay rate for a cashier who doesn't have any experience?
To find the predicted hourly pay rate for a cashier with 0 years of experience, we substitute \( x = 0 \) into the equation:
\[ y = 0.92(0) + 7.98 = 7.98 \]
Answer: 7.98
(c) What is the predicted hourly pay rate for a cashier with \( x \) years of experience?
To find the predicted hourly pay rate for a cashier with \( x \) years of experience, we substitute \( x \) into the equation:
\[ y = 0.92x + 7.98 \]
So the predicted hourly pay rate for a cashier with \( x \) years of experience is \( 0.92x + 7.98 \).
Answer: \( 0.92x + 7.98 \) (for any specified \( x \) years of experience).
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