Question

(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 12 hours of tv would do homework for approximately select

Explanation:

Step1: Analyze the trend of the scatter - plot

Looking at the scatter - plot, as the \(x\) - value (time spent watching TV) increases, the \(y\) - value (time spent doing homework) decreases.

Step2: Determine the type of correlation

Since one variable (time spent doing homework) decreases as the other variable (time spent watching TV) increases, there is a negative correlation.

Step3: Estimate the value using the line of best fit

Locate \(x = 12\) on the \(x\) - axis (time spent watching TV). Then, move up to the line of best fit and then left to the \(y\) - axis (time spent doing homework). The value is approximately \(18\) hours.

Answer:

(a) decrease
(b) negative
(c) \(18\) hours