Good runners take more steps per second as they speed up. Here are the average numbers of steps per second for a group of top female runners at different speeds. The spoeds are in feet per CHER PRACTICE ANOTHI second. Speed (ft/s) 15.58 16.79 17.63 18.64 19.72 21.00 22.32 Steps per second 3.06 3.15 3.18 3.28 3.38 3.42 3.50 (a) You want to predict steps per second from running speed. Make a scatterplot of the data with this goal in mind. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Describe the pattern of the data and find the correlation. r=0.975 O There is a strong positive linear relationship. O There is a weak positive linear relationship. O There is a strong negative linear relationship. O There is a weak negative linear relationship. (c) Find the least-squares regression line of steps per second on running speed. Draw this line on your scatterplot. (Do this on paper. Your instructor may ask you to turn in this graph.) ý = -0.508 X x (d) Does running speed explain most of the variation in the number of steps a runner takes per second? X + 5.953 Yes O No Calculate and use it to answer this question. 2-1.67

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.[5/9 Points]
DEILS
PREVIOUS ANSWERS
Rapia conty
YMSSTAT2 3.E.071.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Good runners take more steps per second as they speed up. Here are the average numbers of steps per second for a group of top female runners at different speeds. The speeds are in feet per
second.
Speed (ft/s)
15.58 16.79 17.63 18.64 19.72 21.00 22.32
Steps per second 3.06 3.15 3.18 3.28 3.38
3.42
3.50
(a) You want to predict steps per second from running speed. Make a scatterplot of the data with this goal in mind. (Do this on paper. Your instructor may ask you to turn in this graph.)
(b) Describe the pattern of the data and find the correlation,
r= 0.975
O There is a strong positive linear relationship.
O There is a weak positive linear relationship.
O There is a strong negative linear relationship.
O There is a weak negative linear relationship.
(c) Find the least-squares regression line of steps per second on running speed. Draw this line on your scatterplot. (Do this on paper. Your instructor may ask you to turn in this graph.)
xx(d) Does running speed explain most of the variation in the number of steps a runner takes per second?
+5.953
V = -0.508
O Yes
ONo
Calculate and use it to answer this question.
2=1.67
ook Pro
Transcribed Image Text:.[5/9 Points] DEILS PREVIOUS ANSWERS Rapia conty YMSSTAT2 3.E.071. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Good runners take more steps per second as they speed up. Here are the average numbers of steps per second for a group of top female runners at different speeds. The speeds are in feet per second. Speed (ft/s) 15.58 16.79 17.63 18.64 19.72 21.00 22.32 Steps per second 3.06 3.15 3.18 3.28 3.38 3.42 3.50 (a) You want to predict steps per second from running speed. Make a scatterplot of the data with this goal in mind. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Describe the pattern of the data and find the correlation, r= 0.975 O There is a strong positive linear relationship. O There is a weak positive linear relationship. O There is a strong negative linear relationship. O There is a weak negative linear relationship. (c) Find the least-squares regression line of steps per second on running speed. Draw this line on your scatterplot. (Do this on paper. Your instructor may ask you to turn in this graph.) xx(d) Does running speed explain most of the variation in the number of steps a runner takes per second? +5.953 V = -0.508 O Yes ONo Calculate and use it to answer this question. 2=1.67 ook Pro
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