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Test 2
Fall 2007
What is the range of the values that the correlation (r) may be?
What is the range of values that the R
2
may be?
What does r = +1 tell you about (1) the direction and (2) where the points are relative to the line?
(1)
(2)
What does r =  1 tell you about (1) the direction and (2) where the points are relative to the line?
(1)
(2)
R
2
= 0
and r = 0 tell you the same thing about whether x and y are related.
What do they tell you?
Can the R
2
tell you if the relationship is positive or negative?
The manager of a clothing store decided to investigate whether the number of sales clerks on duty
could predict the amount (in hundreds of dollars) of merchandise lost due to shoplifting (shrinkage).
Interpret R
2
for this problem.
For the above TI83 printout, interpret the
slope
and the
intercept
.
Slope:
Intercept:
Since it seems that increasing the number of sales clerks decreases the shrinkage, I decide to pay 30
sales clerks to work next week
.
Predict
the amount of shrinkage for next week and
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This note was uploaded on 04/18/2008 for the course MATH 1107 taught by Professor Hardy during the Spring '08 term at Kennesaw.
 Spring '08
 Hardy
 Statistics, Correlation

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