6.4 Using the Correlation Coefficient
Name:
he
Priya takes note of the distance the car drives and the time it takes to get to the destination for many trips.
1. Distance is one factor that influences the travel time of Priya's
car trips. What are some other factors?
Speec
distance
(miles)
10
10
20
25
26
12
15
30
50
65
2
5
32
40
78
travel time
(min)
4
7
11
15
16
22
23
25
28
36
35
37
51
72
70
Ja
2. Which of these factors (including distance) most likely has the
most consistent influence for all the car trips? Explain your reasoning.
3. Use technology to create a scatter plot of the data and add the
best fit line to the graph. Write the equation for the best fit line.
4. What do the slope and y-intercept for the line of best fit mean
in this situation?
Slope:
y-intercept:
5. Use technology to find the correlation coefficient for this data.
r=
6. Based on the value, how would you describe the strength of the
linear relationship?
7. How long do you think it would take Priya to make a trip of 90 miles if the linear relationship
continues?
8. If she drives 90 miles, do you think the prediction you made will be close to the actual value?
Explain your reasoning.