Question

the scatter plot shows the time spent texting and the time spent exercising 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 texting increases, the time spent exercising tends to select (b) for these 25 students, there is select correlation between time spent texting and time spent exercising. (c) using the line of best fit, we would predict that a student texting for 6 hours would exercise for approximately select

Explanation:

• (a) In a scatter - plot, if the line of best fit has a negative slope (as in this case where the line goes from the upper left to the lower right), when one variable (time spent texting) increases, the other variable (time spent exercising) decreases.
• (b) A negative correlation is indicated when an increase in one variable is associated with a decrease in the other variable. Since the line of best fit has a negative slope, there is a negative correlation.
• (c) Locate \(x = 6\) on the \(x\) - axis (time spent texting). Then, move up to the line of best fit and then left to the \(y\) - axis (time spent exercising). By visual inspection of the scatter - plot and the line of best fit, when \(x = 6\), \(y\approx5\).

Answer:

• (a) decrease
• (b) negative
• (c) 5 hours