the scatter plot shows the time spent watching tv and the time spent doing homework by each of 21 students…
the scatter plot shows the time spent watching tv and the time spent doing homework by each of 21 students last week. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 21 students, as the time spent watching tv increases, the time spent doing homework tends to (choose one) (b) for these 21 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 18 hours of tv would do homework for approximately (choose one)
Answer
Answer:
(a) Decrease (b) Negative (c) 14 hours (approximate value read - off from the line of best - fit)
Explanation:
Step1: Analyze the scatter - plot trend
As we move from left to right (increase in time spent watching TV) on the scatter - plot, the points (and the line of best fit) move downwards, indicating a decrease in the time spent doing homework.
Step2: Determine the 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.
Step3: Predict using the line of best fit
Locate 18 hours 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, it is around 14 hours.