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 10 hours would spend approximately select

Explanation:

Step1: Analyze the scatter - plot trend

Looking at the scatter - plot, as the number of hours (x - axis) increases, the amount of money spent (y - axis) moves upwards. So, as the number of hours increases, the amount of money spent tends to increase.

Step2: Determine the correlation type

Since the points in the scatter - plot follow an upward trend (as x increases, y increases), there is a positive correlation between the number of hours worked and the amount of money spent.

Step3: Use the line of best fit for prediction

Locate \(x = 10\) on the x - axis (number of hours). Then, find the corresponding y - value (amount of money spent) on the line of best fit. By visual inspection of the scatter - plot and the line of best fit, when \(x = 10\), \(y\approx25\) (assuming the scale of the y - axis is such that each major grid line is 5 units and the line of best fit passes near the 25 - unit mark when \(x = 10\)).

Answer:

(a) increase
(b) a positive
(c) 25 dollars