QUESTION IMAGE
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
Step1: Analyze the scatter plot trend
The line of best fit has a negative slope, meaning as the x - variable (time spent texting) increases, the y - variable (time spent exercising) decreases. So for part (a), the time spent exercising tends to decrease.
Step2: Determine the type of correlation
Since one variable increases and the other decreases, there is a negative correlation for part (b).
Step3: Predict using the line of best fit
Looking at the line of best fit, when the time spent texting is 6 hours, we can estimate the time spent exercising. From the plot, the line at x = 6 (texting 6 hours) has a y - value (exercising) of approximately 5 hours (by visually inspecting the line of best fit and the scatter plot).
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(a) decrease
(b) negative
(c) 5 hours (approximate, based on the line of best fit)