Questions: For these 25 students, as the time spent texting increases, the time spent exercising tends to decrease. For these 25 students, there is a negative correlation between time spent texting and time spent exercising. Using the line of best fit, we would predict that a student texting for 6 hours would exercise for approximately 6 hours.

For these 25 students, as the time spent texting increases, the time spent exercising tends to decrease. For these 25 students, there is a negative correlation between time spent texting and time spent exercising. Using the line of best fit, we would predict that a student texting for 6 hours would exercise for approximately 6 hours.

Transcript text: For these 25 students, as the time spent texting increases, the time spent exercising tends to decrease. For these 25 students, there is $\square$ a negative correlation between time spent texting and time spent exercising. Using the line of best fit, we would predict that a student texting for 6 hours would exercise for approximately 6 hours.

Solution

Solution Steps

Step 1: Analyze the scatterplot and the line of best fit.

The scatterplot shows the relationship between time spent texting and time spent exercising for 25 students. The line of best fit has a negative slope, indicating that as time spent texting increases, the time spent exercising decreases.

Step 2: Determine the correlation.

Since the line of best fit has a negative slope, there is a negative correlation between time spent texting and time spent exercising.

Step 3: Predict exercise time for 6 hours of texting.

The line of best fit passes close to the point (6, 4). This means that a student who texts for 6 hours is predicted to exercise for approximately 4 hours, not 6 hours.

Final Answer

(a) True (b) negative (c) False (approximately 4 hours)

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