0. An algebra class collected the following data to determine if there is a correlation between height and shoe size. Height (centimeters) 160 173 165 183 175 178 Shoe size 7. 8.5 12 10 10 a. Make a scatterplot using the data. Then draw a line of fit. b. Write an equation for the line of fit. c. Interpret the slope and the y-intercept.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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20. An algebra class collected the following data to determine if there is a correlation
between height and shoe size.
178
Height (centimeters) 160 173 165 183 175
Shoe size
7
6.
8.5
12
10
10
a. Make a scatterplot using the data. Then draw a line of fit.
b. Write an equation for the line of fit.
C. Interpret the slope and the y intercept.
d. Determine whether the data show a positive, a negative, or no correlation.
e. A basketball player is 7 feet1 inch tall. Use your equation from part (b) to predict
his shoe size.
f. His actual shoe size is 22. How accurate is your equation?
g. Use a graphing calculator to find the equation of the line of best fit.
h. Identify and interpret the correlation coefficient.
Transcribed Image Text:20. An algebra class collected the following data to determine if there is a correlation between height and shoe size. 178 Height (centimeters) 160 173 165 183 175 Shoe size 7 6. 8.5 12 10 10 a. Make a scatterplot using the data. Then draw a line of fit. b. Write an equation for the line of fit. C. Interpret the slope and the y intercept. d. Determine whether the data show a positive, a negative, or no correlation. e. A basketball player is 7 feet1 inch tall. Use your equation from part (b) to predict his shoe size. f. His actual shoe size is 22. How accurate is your equation? g. Use a graphing calculator to find the equation of the line of best fit. h. Identify and interpret the correlation coefficient.
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