the scatter plot shows the time spent watching tv and the time spent doing homework by each of 25 students…

the scatter plot shows the time spent watching tv and the time spent doing homework by each of 25 students last week. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 25 students, as the time spent watching tv increases, the time spent doing homework tends to (choose one) (b) for these 25 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 15 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 25 students last week. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 25 students, as the time spent watching tv increases, the time spent doing homework tends to (choose one) (b) for these 25 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 15 hours of tv would do homework for approximately (choose one)

Answer

Explanation:

Step1: Analyze scatter - plot trend

As we move from left to right (increase in time spent watching TV) on the scatter - plot, the points representing time spent doing homework move downwards. So, as the time spent watching TV increases, the time spent doing homework tends to decrease.

Step2: Determine correlation type

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

Step3: Predict value using line of best - fit

Locate (x = 15) on the (x) - axis (time spent watching TV). Then, find the corresponding (y) - value (time spent doing homework) on the line of best - fit. By visual inspection of the scatter - plot and the line of best - fit, when (x = 15), (y\approx15) hours.

Answer:

(a) decrease (b) negative (c) 15 hours