Practice question #9 This scatterplot gives data for 30 drivers, where x is the driver’s age and y is how far they can see in feet. Answer the following questions about the relationship. a. Do you expect the correlation coefficient r to be a positive or a negative value? _________________ b. Given that r2 = .64, fill in the following: This means that ___________ % of the ________________________ in “Distance” is explained by the ____________________________ relationship between “Age” and “Distance.” c. Based on the above parts, what value do you expect r to be? _________________________ d. The equation for the line of best fit is y = −3.0x + 576.7, which is included on the graph. Approximately what distance in feet would you expect a 50-year old driver to see? e. Would it be appropriate to use our line of best fit to make a prediction about the distance seen by a 110 year old? ____________________ Doing so would be an example of what statistical concept? __________________________

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 3E
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Practice question #9

This scatterplot gives data for 30 drivers, where x is the driver’s age and y is how far they can see in feet. Answer the following questions about the relationship.

a. Do you expect the correlation coefficient r to be a positive or a negative value? _________________

b. Given that r2 = .64, fill in the following: This means that ___________ % of the ________________________ in “Distance” is explained by the ____________________________ relationship between “Age” and “Distance.”

c. Based on the above parts, what value do you expect r to be? _________________________

d. The equation for the line of best fit is y = −3.0x + 576.7, which is included on the graph. Approximately what distance in feet would you expect a 50-year old driver to see?

e. Would it be appropriate to use our line of best fit to make a prediction about the distance seen by a 110 year old? ____________________
Doing so would be an example of what statistical concept? __________________________

Distance
700
600
500
400
300
200
100
0
10
20
Age vs. Distance
30
40
Age
50
60
70
80
90
Transcribed Image Text:Distance 700 600 500 400 300 200 100 0 10 20 Age vs. Distance 30 40 Age 50 60 70 80 90
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