Question

the scatter plot shows the number of hours worked and money spent on entertainment by each of 21 students. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 21 students, as the number of hours increases, the amount of money spent tends to select (b) for these 21 students, there is select 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 select

Explanation:

• (a) Looking at the scatter - plot and the line of best fit, as the number of hours (x - axis) increases, the points and the line of best fit go up. So, as the number of hours increases, the amount of money spent (y - axis) tends to increase.
• (b) Since the line of best fit has a positive slope (as x increases, y increases), there is a positive correlation between the number of hours worked and the amount of money spent.
• (c) Locate \(x = 8\) on the x - axis. Then, move up to the line of best fit and then to the y - axis. The value on the y - axis (amount of money spent) at \(x = 8\) is approximately \(20\).

Answer:

(a) increase
(b) a positive
(c) \(20\)