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 12 hours of tv would do homework for approximately select

Explanation:

• (a) As we can see from the scatter - plot, when the value on the x - axis (time spent watching TV) increases, the value on the y - axis (time spent doing homework) decreases.
• (b) A negative correlation is indicated when one variable increases and the other decreases. Here, as TV - watching time increases, homework - doing time decreases, so there is a negative correlation.
• (c) Locate \(x = 12\) on the x - axis (time spent watching TV). Then, find the corresponding y - value (time spent doing homework) on the line of best fit.

Answer:

(a) decrease
(b) a negative
(c) 16 hours (approximate value based on the line of best fit in a typical scatter - plot of this nature; actual value may vary slightly depending on the precise position of the line of best fit in the given plot)