As part of a wide ranging study of health and nutrition, investigators collected information for a random sample of 4023 college students. Among other statistics they found that for the students in the study the standard deviation in the students' weights (x) was sx = 10 kg, the standard deviation in the maximum amount the students could bench-press (y) was Sy = 20 kg and the %3D correlation between these two variables was ry= 0.6.

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Chapter1: Combinatorial Analysis
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As part of a wide ranging study of health and nutrition, investigators collected information for a
random sample of 4023 college students. Among other statistics they found that for the students
in the study the standard deviation in the students' weights (x) was Sx = 10 kg, the standard
deviation in the maximum amount the students could bench-press (y) was sy = 20 kg and the
%3!
correlation between these two variables was ry= 0.6.
These statistics tell us that...
O ... on average, students who weigh 70 kgs can bench press 20 kgs more than students who weight 60 kgs.
on average, students can bench press 60% of their own weight.
...
O... students who gain 15 kgs will increase their maximum bench-press weight by 18 kgs, on average.
O... the students who weigh 60 kgs can bench-press 12 kgs more, on average, than the students who weigh
50 kgs.
Transcribed Image Text:As part of a wide ranging study of health and nutrition, investigators collected information for a random sample of 4023 college students. Among other statistics they found that for the students in the study the standard deviation in the students' weights (x) was Sx = 10 kg, the standard deviation in the maximum amount the students could bench-press (y) was sy = 20 kg and the %3! correlation between these two variables was ry= 0.6. These statistics tell us that... O ... on average, students who weigh 70 kgs can bench press 20 kgs more than students who weight 60 kgs. on average, students can bench press 60% of their own weight. ... O... students who gain 15 kgs will increase their maximum bench-press weight by 18 kgs, on average. O... the students who weigh 60 kgs can bench-press 12 kgs more, on average, than the students who weigh 50 kgs.
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