Question

The Student Government Association at Middle Carolina University
wanted to demonstrate the relationship between the number of beers a
student drinks and his or her blood alcohol content (BAC). A random
sample of 18 students participated in a study in which each
participating student was randomly assigned a number of 12-ounce cans
of beer to drink. Thirty minutes after they consumed their assigned
number of beers, a member of the local sheriff’s office measured their
blood alcohol content. The sample information is reported below.

beers, a member of the local reported below. Student 10 Student 1 2 3 4 5 6 7 8 9 Beers 6 7 7 4 5 3 3 6 BAC 0.10 0.09 0.09 0.


Ос b. Fill in the blanks. (Round your answers to 3 decimal places.) y S. Sy C-1. Determine the coefficient of correlation and


please help

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Answer #1

X: Beers, Y: BAC

Using Excel functions:

x̅ = AVERAGE(Beers) = 4.278

y̅ = AVERAGE(BAC) = 0.079

Sx = STDEV.S(Beers) = 2.137

Sy = STDEV.S(BAC) = 0.027

Coefficient of correlation: r = CORREL(Beers,BAC) = 0.779

Coefficient of determination = r2 = 0.779*0.779 = 0.607

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