Deck 10: Correlation and Regression

Question 1

A) positive
B) There is no relationship.
C) curvilinear
D) negative

Answer 1

B

Question 2

Answer 2

Question 3

Answer 3

False

Question 4

A) multiple
B) positive
C) There is no relationship.
D) negative

Question 5

If there is a strong negative linear relationship between the variables, the value of
will be close to -1.

Question 6

Question 7

The two variables in a scatter plot are called the

A) independent variable and dependent variable.
B) lines and points.
C) spread and pattern.
D) relative frequency and relative proportion.

Question 8

The range of the correlation coefficient is from 0 to 1.

Question 9

In a relationship, as one variable increases, the other variable
decreases, and vice versa.

Question 10

A) Because 0.790 is greater than 0.602, the null hypothesis is not rejected.
B) There is no correlation between the variables.
C) Because 0.790 is greater than 0.632, the null hypothesis is rejected.
D) Because 0.790 is greater than 0.632, the null hypothesis is not rejected.

Question 11

The rounding rule for the correlation coefficient requires two decimal places.

Question 12

A positive relationship exists when both variables increase or decrease at the same time.

Question 13

Question 14

A) 0.932
B) 0.679
C) 0.857
D) 0.762

Question 15

is a statistical method used to determine whether a relationship
between variables exists.

Question 16

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

A) caused by a third variable
B) uncorrelated
C) direct cause-and-effect
D) negative effect

Question 17

Question 18

Question 19

Question 20

A) 0.644
B) 0.826
C) 0.814
D) 0.774

Question 21

A regression line can be used to show trends in data.

Question 22

Question 23

Question 24

Question 25

A) 3
B) 6
C) -8
D) -5

Question 26

Question 27

A) 11.7
B) 4.73
C) 5.29
D) 34.5

Question 28

Question 29

Question 30

A) 12
B) 6
C) -8
D) -2

Question 31

Question 32

Question 33

Question 34

A) 3
B) 9
C) 2
D) -25

Question 35

A) 23
B) 19
C) 14
D) 13

Question 36

A) 0.354955
B) 11.851625
C) 0.086702
D) 193.269291

Question 37

A) 3.2
B) 0
C) 4.6
D) -4.6

Question 38

Regression is a statistical method used to describe the nature of the relationship between
variables.

Question 39

Question 40

Question 41

Question 42

A) The error in estimating the slope
B) The standard error of the estimate
C) The error in estimating the intercept
D) All of the above

Question 43

Question 44

Question 45

If the correlation coefficient is 0.930, what is the unexplained variation?

A) 86.5%
B) 7%
C) 93%
D) 13.5%

Question 46

Question 47

A researcher has reason to believe that, for an experiment with 30 points, a 95%
prediction interval would be of width 8. If the researcher wishes to run a more
precise experiment that will result in a 95% prediction interval of width 4, then
the researcher will require how many points?

Question 48

Question 49

As a researcher collects more and more data, the 95% prediction intervals in general

A) become narrower and narrower, but the widths are always more than approximately 4 times the slope.
B) become narrower and narrower, but the widths are always more than approximately 2 times the standard error of the estimate.
C) become narrower and narrower, with the widths getting closer and closer to 0.
D) become narrower and narrower, but the widths are always more than approximately 4 times the standard error of the estimate.

Question 50

The variation due to chance, found by the formula , is called the
unexplained variation.

Question 51

Question 52

Question 53

Question 54

Question 55

A) 0.277
B) 0.723
C) 0.725
D) 0.402

Question 56

A) 0.109829
B) 0.066275
C) 16.865161
D) 240.686515

Question 57

If the correlation coefficient is 0.790, what is the explained variation?

A) 37.6%
B) 79%
C) 21%
D) 62.4%

Question 58

Question 59

A) 0.320
B) 0.752
C) 0.680
D) 0.443

Question 60

The standard error of estimate is the square root of the unexplained variation.

Question 61

A) The coefficient of determination is 0.299 and the coefficient of nondetermination is 0.701
B) The coefficient of determination is 0.701 and the coefficient of nondetermination is 0.299
C) The coefficient of determination is 0.260 and the coefficient of nondetermination is 0.740
D) The coefficient of determination is 0.740 and the coefficient of nondetermination is 0.260

Question 62

Question 63

A) increase by 39.
B) decrease by 69.
C) decrease by 39.
D) increase by 69.

Question 64

Question 65

A) 6.36
B) 8.75
C) 7.34
D) 5.49

Question 66

Question 67

A) 7.47
B) 4.26
C) 6.20
D) 2.76

Question 68

A) 400.1
B) 387.2
C) 421.6
D) 615.5

Question 69

A) 1.291
B) 1.510
C) 1.289
D) 1.057

Question 70

A) 32
B) 6
C) -3
D) 42

Question 71

Question 72

Question 73

A) 0.807
B) 0.539
C) 0.425
D) 0.575