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1
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Which statement regarding correlation is not true?
a) | The closer the absolute value of the correlation coefficient is to one, the closer
the data conform to a line. | c) | A negative correlation coefficient indicates that there is a weak
relationship between two variables. | b) | A correlation coefficient measures the strength
of the linear relationship between two variables. | d) | A relation for which most of the data fall
close to a line is considered strong. |
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2
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A study compared the number of years of education a person received and that
person's average yearly salary. It was determined that the relationship between these two
quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made
based on the findings of this study?
a) | There was a weak relationship. | c) | There was no
relationship. | b) | There was a strong relationship. | d) | There was an unpredictable
relationship. |
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3
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Which value of r represents data with a strong positive linear
correlation between two variables?
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4
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Which value of r represents data with a strong negative linear
correlation between two variables?
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5
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Which calculator output shows the strongest linear relationship between x
and y?
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6
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The points in the scatter plot below represent the ages of automobiles and their
values. Based on this scatter plot, it would be reasonable to conclude: a) | Age and value have a coefficient of correlation that is less than
zero. | b) | Age and value have a coefficient of correlation that is equal to
zero. | c) | Age and value have a coefficient of correlation that is between zero and
0.5. | d) | Age and value have a coefficient of correlation that is greater than
0.5. |
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7
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What could be the approximate value of the correlation coefficient for the
accompanying scatter plot?
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8
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Which graph represents data used in a linear regression that produces a
correlation coefficient closest to  ?
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9
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Which scatter diagram shows the strongest positive correlation?
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10
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In the physics lab, Thelma determined the kinetic energy, KE, of an
object at various velocities, V, and found the linear correlation coefficient between
KE and V to be +0.8. Which graph shows this relationship?
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11
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The relationship between t, a student’s test scores, and d,
the student’s success in college, is modeled by the equation  . Based
on this linear regression model, the correlation coefficient could be a) | between  and 0 | c) | equal to  | b) | between 0 and 1 | d) | equal to 0 |
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12
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A linear regression equation of best fit between a student’s attendance
and the degree of success in school is  . The correlation coefficient, r,
for these data would be
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13
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The relationship of a woman’s shoe size and length of a woman’s
foot, in inches, is given in the accompanying table. The linear correlation coefficient for this relationship is a) | 1 | c) | 0.5 | b) |  | d) | 0 |
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14
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As shown in the table below, a person’s target heart rate during exercise
changes as the person gets older. Which value represents the linear correlation coefficient, rounded to the
nearest thousandth, between a person’s age, in years, and that person’s target
heart rate, in beats per minute? a) |  | c) | 0.998 | b) |  | d) | 1.503 |
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15
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What does the correlation coefficient of  on a linear
regression indicate? a) | The slope is positive. | c) | The scatterplot shows no association of the
variables. | b) | One variable causes the other. | d) | One variable has a strong relationship with the
other. |
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