Linear Regression Activity
Name: __________________________________ Date: _________________________
Let’s collect some data…
Shoe Size
Height
(inches)
Shoe Size
Height
(inches)
Shoe Size Vs. Height
1. On a sheet of graph paper, create a scatter plot of the data collected in class. Be sure to label your
graph!
2. Describe the correlation of the data (if one exists).
3. The correlation coefficient r is closest to:
a. -1
b. -.5
c. 0
d. .5
e. 1
4. Draw the line of best fit on the scatter plot by hand. Using two points on your line, determine the
equation of the trend line.
Use your line of best fit and equation to answer the following questions.
5. Using the equation, what is the approximate height of a person with a shoe size of 7.5? 10? 12.5?
6. Shaquille O’Neal wears a size 21 shoe. Using your equation, approximate Shaq’s height. Is this
interpolation or extrapolation?
7. If you had the information that Shaq was 7 feet 1 inch tall, what size shoe would you predict him to
wear? How does your answer compare with your result from question 6?
8.
Now use your graphing calculator to determine the linear regression equation (y = ax + b).
9. Interpret the meaning of the slope in the context of the problem.
10. Using the regression equation, what is the approximate height of a person with a shoe size of 7.5?
10? 12.5? How do your answers compare to your answers from question #5?
11. Honest Abe Lincoln wore a size 13 shoe. What would you predict his height to be?
12. Heidi Klum is 5 feet 9 inches tall. What size shoe do you think she wears?
13. If you were 19 inches at birth, what shoe size would you wear? Does your answer make sense using
your line of best fit? Why or why not?