the scatter plot shows the time spent watching tv and the time spent doing homework by each of 24 students…

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 (choose one) (b) for these 24 students, there is (choose one) 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 12 hours of tv would do homework for approximately (choose one)

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 (choose one) (b) for these 24 students, there is (choose one) 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 12 hours of tv would do homework for approximately (choose one)

Answer

Explanation:

Step1: Analyze the scatter - plot trend

As we can see from the scatter - plot, as the value on the x - axis (time spent watching TV) increases, the value on the y - axis (time spent doing homework) decreases.

Step2: Determine the type of correlation

Since an increase in one variable (time watching TV) is associated with a decrease in the other variable (time doing homework), there is a negative correlation.

Step3: Estimate the value using the line of best - fit

Locate (x = 12) on the x - axis (time watching TV). Then, find the corresponding y - value on the line of best - fit. By visual inspection, when (x = 12), (y\approx18).

Answer:

(a) Decrease (b) Negative (c) 18 hours