Correlation Analysis and Simple Linear Regression

Correlation Analysis and Simple Linear Regression
Correlation Analysis and Simple Linear Regression
472. Which one of the following statements is always true?
(A) The greater the value of the correlation coefficient, the stronger is
the relationship.
(B) A strong positive correlation between two variables means one of
the variables causes the effect of the other variable.
(C) If two variables are independent, their correlation does not exist.
(D) Pearson product-moment correlation coefficients numerically
quantify only linear relationships.
Chapter 13
1323 ❯ McGraw-Hill’s 500 Statistics Questions
473. Which one of the following scatterplots shows the strongest linear relationship between variables X and Y ?
(A)
Variable X
Variable Y
(B)
Variable X
Variable Y
(C)
Variable X
Variable Y
(D)
Variable X
Variable Y
Correlation Analysis and Simple Linear Regression
Correlation Analysis and Simple Linear Regression ❮ 133
474. Which one of the following statements comparing correlation coefficients
is true?
(A) 0.40 is stronger than 0.75.
(B) -0.50 is stronger than -0.95.
(C) 0.82 is weaker than 0.68.
(D) -0.54 is equal in strength to 0.54.
475. The following correlation table shows the correlations between pairs of
variables from among the four variables W, X, Y, and Z.
Correlation Table for Variables W, X, Y, and Z
Variable W Variable X Variable Y Variable Z
Variable W 1
Variable X -0.85 1
Variable Y 0.47 0.82 1
Variable Z -0.58 0.60 -0.79 1
The correlation coefficient between which of the following pairs of variables
shows the strongest relationship?
(A) W and X
(B) Y and W
(C) X and Y
(D) Y and Z
476. A biologist is interested in the relationship between age (in years) and
the maximum pulse rate (in beats per minute) for women. A sample of
five women yielded the following five pairs of data. Calculate the sample
product-moment correlation coefficient r by formula. (Round your answer,
as needed.)
Woman 1 Woman 2 Woman 3 Woman 4 Woman 5
Age x (years) 20 39 18 44 50
Pulse rate y (beats
per minute)
210 180 200 165 120
(A) r = -0.904
(B) r = -0.749
(C) r = 0.904
(D) r = 0.749
1345 ❯ McGraw-Hill’s 500 Statistics Questions
477. The following data give the number of hours each of six students in a statistics class spent studying and each student’s corresponding score (out of
100 points) on the final exam. Using a graphing calculator, calculate the
product-moment correlation coefficient r for the sample. (Round your
answer, as needed.)
Student Number 1 2 3 4 5 6
Study time x (in hours) 1.50 2.75 3.00 4.50 5.75 6.00
Score on exam y 54 73 70 82 91 89
(A) r = -0.969
(B) r = -0.939
(C) r = 0.939
(D) r = 0.969
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