Deck 16: Testing for Association: Pearsons R and Regression
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Deck 16: Testing for Association: Pearsons R and Regression
1
Pearson's r is reasonably able to withstand the effect of violating one of its assumptions.
True
2
In order to assess the results of a prediction using Pearson's r,you would need
A)both the correlation coefficient and the regression coefficient
B)both b and Beta
C)only r
D)none of the above
A)both the correlation coefficient and the regression coefficient
B)both b and Beta
C)only r
D)none of the above
A
3
Pearson's r will provide both symmetric and asymmetric relationship values,but you have to know which one to use.
False
4
The most important advantage of using Pearson's r is that
A)it can be interpreted as a direct-PRE measure
B)it is the only statistic that has multivariate capabilities
C)the measure itself has very few assumptions about data
D)it is sensitive to the magnitude of change between pairs of scores
A)it can be interpreted as a direct-PRE measure
B)it is the only statistic that has multivariate capabilities
C)the measure itself has very few assumptions about data
D)it is sensitive to the magnitude of change between pairs of scores
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5
Pearson's r is designed for data measured at the
A)nominal level
B)ordinal level
C)interval level
D)metric ordinal level
A)nominal level
B)ordinal level
C)interval level
D)metric ordinal level
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6
It is possible to have both a high correlation coefficient and a low regression coefficient.
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7
If the correlation value for Pearson's r is positive,an asymmetric version of the test has been used.
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8
Pearson's r is known as a parametric statistic.
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9
An r-squared value of .50 means that the relationship is positive.
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10
An r-squared value of .40 means that the independent variable has accounted for 16% of the variance in the dependent variable.
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11
The linear function,Y = a + bx,is used to estimate the actual amount of effect variable X will have on variable Y
A)under the condition that X = 2Y
B)under the condition that Y = 2X
C)for each unit increase in Y
D)for each unit increase in X
A)under the condition that X = 2Y
B)under the condition that Y = 2X
C)for each unit increase in Y
D)for each unit increase in X
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12
Pearson's r can easily be extended to a multivariate statistical technique
A)with multiple independent variables
B)with multiple dependent variables
C)with the restriction that only one control variable can be used
D)all of the above
A)with multiple independent variables
B)with multiple dependent variables
C)with the restriction that only one control variable can be used
D)all of the above
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13
The type of relationship measured by Pearson's r is
A)exponential
B)uniform
C)linear
D)curvilinear
A)exponential
B)uniform
C)linear
D)curvilinear
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14
Assumptions of Pearson's r include which of the following?
A)normally distributed data
B)homoscedasticity
C)the residual variance in uncorrelated with the independent variable
D)all of the above
A)normally distributed data
B)homoscedasticity
C)the residual variance in uncorrelated with the independent variable
D)all of the above
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15
As a member of the General Linear Model,Pearson's r can be calculated from ANOVA.
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16
If you calculated a Pearson's r-square of .36 between median incomes and city crime rates it means that:
A)36 percent of the variance in city crime rates is explained
B)60 percent of the variance in city crime rates is explained
C)6 percent of the variance in median incomes is explained
D)13 percent of the variance in either median incomes or city crime rates is explained
A)36 percent of the variance in city crime rates is explained
B)60 percent of the variance in city crime rates is explained
C)6 percent of the variance in median incomes is explained
D)13 percent of the variance in either median incomes or city crime rates is explained
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17
Given the formula Y = a + bX,if the Pearson's r value is .60 the value of b would have to be:
A)half of .60 or .30
B)60
C).36
D)none of the above
A)half of .60 or .30
B)60
C).36
D)none of the above
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18
If you wanted to know the amount of change in Y as a produce of X,you would be interested in
A)the correlation coefficient or r
B)the coefficient of nondetermination or c
C)the standardized coefficient or s
D)the regression coefficient or b
A)the correlation coefficient or r
B)the coefficient of nondetermination or c
C)the standardized coefficient or s
D)the regression coefficient or b
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19
The correlation value for Pearson's r does not reach 1.0 (unity)but will after you square it.
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20
If Pearson's r = .50 and N = 20,then the proportion of explained variance is:
A).50
B)20
C)10
D).25
A).50
B)20
C)10
D).25
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21
An alternative to regression,when assumptions are severely violated,is the Contingency Coefficient statistic.
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