Question

For questions #35-42, refer to the following: To see if there is a linear relationship between...

For questions #35-42, refer to the following: To see if there is a linear relationship between the average alcoholic drinks per hour (x) and the person's (BAC) Blood Alcohol Content (y), the following sample values were collected:

(x): 5 1 0 2 3 2 4 2 1 0

(y): .18 .02 .01 .05 .09 .07 .12 .03 .03 .00

#35) What is the value for SSxy?

a.

.65

b.

.8

c.

1.4

d.

1.23

e.

.71

What is the value for SSxx?

a.

17.25

b.

36

c.

5.16

d.

44

e.

24

What is the value for SSyy?

a.

.0286

b.

.0156

c.

.0466

d.

.0355

e.

.0291

What is the correlation coefficient value?

a.

.56

b.

-.34

c.

.97

d.

.0466

e.

94.09

What percentage of the BAC is directly related to the average number of alcoholic drinks consumed per hour?

a.

4.66

b.

.94

c.

97

d.

94.09

e.

.8

What is the equation of the regression line?

a.

y = .03 + .03 x

b.

y = 24 - .8 x

c.

y = .8 - .03 x

d.

y = .03 + 1x

e.

y = 0 + .03 X

What BAC content is predicated for a person who averaged 2 drinks per hour?

a.

.06

b.

.12

c.

.05

d.

.01

e.

.08

What BAC content is predicted for a person who averaged 7 drinks per hour?

a.

.12

b.

.14

c.

cannot predict for an average of 7 drinks per hour

d.

.07

e.

.21

Homework Answers

Answer #1
x 5 1 0 2 3 2 4 2 1 0
y 0.18 0.02 0.01 0.05 0.09 0.07 0.12 0.03 0.03 0.00
x^2 25 1 0 4 9 4 16 4 1

0

y^2 .0324 .0004 .0001 .0025 .0081 .0049 .0144 .0009 .0009 0
xy 0.9 0.02 0 0.1 0.27 0.14 0.48 0.06 0.03 0

  

35) SSxy=

=2-1.2

=(b)0.8

36) SSxx =

(Mean of x = 20/10=2)

=64-10*4

=(e)24

37) SSyy=

(Mean of y = 0.6/10=0.06)

=0.0646-10*(0.06)*(0.06)

=(a)0.0286

38) r(correlation coefficient) =

=0.8/0.8284

=(c)0.97

39) (b) 0.94

40) Y=a+bX as and

a= 0.0004=0 and b = 0.03

(e) Y=0+0.03*X

41) (c) 0.05

42) (e) 21

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