A sample of 40 individuals collects their shoe size and the height (cm) for CSI data. The scatter plot and results from a simple linear regression are recorded: HEIGHT = 126.76238 + 4.8782178 SHOE SIZE Sample size: 40 R (correlation coefficient) = 0.77918855 P-value < 0.0001 (a)  Does the scatterplot and results show a linear correlation between shoe size and height? (b)  How can you tell? (c)  Will it be appropriate to use the linear regression equation given in the output? (d)  Krusty the Clown wears size 8.5 shoes. According to the linear regression equation, how tall is Krusty the Clown? (e)  Sideshow Bob wears size 14 shoes. According to the linear regression equation, how tall is Sideshow Bob?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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A sample of 40 individuals collects their shoe size and the height (cm) for CSI data. The scatter plot and results from a simple linear regression are recorded:

HEIGHT = 126.76238 + 4.8782178 SHOE SIZE Sample size: 40
R (correlation coefficient) = 0.77918855
P-value < 0.0001

  1. (a)  Does the scatterplot and results show a linear correlation between shoe size and height?

  2. (b)  How can you tell?

  3. (c)  Will it be appropriate to use the linear regression equation given in the output?

  4. (d)  Krusty the Clown wears size 8.5 shoes. According to the linear regression equation, how tall is Krusty the Clown?

  5. (e)  Sideshow Bob wears size 14 shoes. According to the linear regression equation, how tall is Sideshow Bob?

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