Question

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 select (b) for these 21 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 18 hours of tv would do homework for approximately select

Explanation:

Part (a)

Step 1: Analyze the scatter plot trend

The line of best fit has a negative slope (it's decreasing from left to right). As the x - variable (time spent watching TV) increases, the y - variable (time spent doing homework) follows the trend of the line of best fit. So when TV time (x) increases, homework time (y) tends to decrease.

Part (b)

Step 1: Determine the type of correlation

Since the line of best fit has a negative slope and the points generally follow this downward - sloping trend, the correlation between time spent watching TV and time spent doing homework is negative. A negative correlation means that as one variable increases, the other tends to decrease, which matches the trend we saw in part (a).

Part (c)

Step 1: Estimate from the line of best fit

We look at the line of best fit. When the time spent watching TV is 18 hours (x = 18), we find the corresponding y - value (time spent doing homework) on the line of best fit. From the scatter plot's line of best fit, when x = 18, we can estimate the y - value. Looking at the axes, the line of best fit at x = 18 (time watching TV) seems to correspond to a y - value (time doing homework) of around 12 hours (this is an estimate based on the slope and the position of the line. For example, if we track the line, when x increases, y decreases, and at x = 18, the y - coordinate on the line is approximately 12).

Answer:

s:
(a) decrease
(b) negative
(c) 12 (or the appropriate estimated value from the line of best fit, usually around 12 hours for x = 18)