Question

the scatter plot shows the number of hours worked and money spent on entertainment by each of 25 students. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 25 students, as the number of hours increases, the amount of money spent tends to select (b) for these 25 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 12 hours would spend approximately select

Explanation:

• (a) As the line of best fit has a positive slope, when the number of hours (x - axis) increases, the amount of money spent (y - axis) also increases.
• (b) Since the points generally follow an upward - trend (positive slope of the line of best fit), there is a positive correlation.
• (c) Locate \(x = 12\) on the x - axis (number of hours worked). Then, move up to the line of best fit and then to the y - axis (amount of money spent). Estimate the y - value.

Answer:

• (a) increase
• (b) a positive
• (c) 30 (This is an estimate. The actual value may vary slightly depending on the precise reading from the scatter - plot's line of best fit)