Question

amount of money spent on entertainment (in dollars)
number of hours worked
(a) for these 25 students, as the number of hours increases, the amount of money spent tends to
(b) for these 25 students, there is correlation between the number of hours worked and the amount of money spent.
(c) using the line of best fit, we would predict that a student working 8 hours would spend approximately

Explanation:

• (a) By observing the scatter - plot, as the number of hours (x - axis) increases, the amount of money spent (y - axis) also increases.
• (b) Since the points in the scatter - plot follow an upward trend (as x increases, y generally increases), there is a positive correlation.
• (c) Locate \(x = 8\) on the x - axis (number of hours worked), and then find the corresponding y - value (amount of money spent) on the line of best fit.

Answer:

(a) increase
(b) a positive
(c) \(\$20\) (approximate value based on the line of best fit in the scatter - plot)