Question

the scatter plot shows the time spent watching tv and the time spent doing homework by each of 24 students last week. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 24 students, as the time spent watching tv increases, the time spent doing homework tends to select (b) for these 24 students, there is select correlation between time spent watching tv and time spent doing homework. (c) using the line of best fit, we would predict that a student watching 15 hours of tv would do homework for approximately select

Explanation:

Step1: Analyze scatter - plot trend

As the time spent watching TV increases, from the scatter - plot, we can see that the time spent doing homework decreases. So, for part (a), the answer is "decrease".

Step2: Determine correlation type

Since an increase in one variable (time watching TV) is associated with a decrease in the other variable (time doing homework), the correlation is negative. So, for part (b), the answer is "a negative".

Step3: Use line of best - fit for prediction

We need to use the line of best - fit to predict the time spent doing homework when the time spent watching TV is 15 hours. We find the point on the x - axis corresponding to 15 hours of TV - watching and then find the corresponding y - value on the line of best - fit. By visual estimation from the scatter - plot and line of best - fit, if we assume the line of best - fit equation is approximately linear, we can estimate the value. Let's say by looking at the line, when x = 15, y is around 5 hours. So, for part (c), the answer is "5" hours.

Answer:

(a) decrease
(b) a negative
(c) 5