In: Statistics and Probability
In simple linear regression, r 2 is the _____.
a. |
coefficient of determination |
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b. |
coefficient of correlation |
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c. |
estimated regression equation |
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d. |
sum of the squared residuals |
QUESTION 3
A least squares regression line ______.
a. |
may be used to predict a value of y if the corresponding x value is given |
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b. |
implies a cause-effect relationship between x and y |
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c. |
can only be determined if a good linear relationship exists between x and y |
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d. |
All of the answers are correct. |
QUESTION 4
Regression analysis was applied between sales (in $1000s) and advertising (in $100s), and the following regression function was obtained.
= 80 + 6.2x
Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is _____.
a. |
$700,000 |
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b. |
$700 |
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c. |
$142,000 |
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d. |
$62,080 |
QUESTION 5
In a regression analysis, the variable that is used to predict the dependent variable ______.
a. |
is the dependent variable |
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b. |
must have the same units as the variable doing the predicting |
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c. |
usually is denoted by x |
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d. |
is the independent variable |
QUESTION 6
The equation that describes how the dependent variable ( y) is related to the independent variable ( x) is called _____.
a. |
the correlation model |
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b. |
the regression model |
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c. |
correlation analysis |
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d. |
None of the answers is correct. |
QUESTION 7
The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called _____.
a. |
a prediction interval |
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b. |
the standard error |
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c. |
a residual |
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d. |
the variance |
QUESTION 8
Regression analysis is a statistical procedure for developing a mathematical equation that describes how _____.
a. |
one independent and one or more dependent variables are related |
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b. |
several independent and several dependent variables are related |
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c. |
one dependent and one or more independent variables are related |
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d. |
None of the answers is correct |
QUESTION 9
A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is ______.
a. |
the most squares method |
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b. |
the least squares method |
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c. |
correlation analysis |
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d. |
the mean squares method |
2)
In simple linear regression, r 2 is the
a. |
coefficient of determination |
3)
A least squares regression line _
a. |
may be used to predict a value of y if the corresponding x value is given |
4)
The equation of regression line is,
where
x = advertising
Given
X = $10,000,
The point estimate for sales (in dollars) is $62,080.
The correct option is
d.$62,080
5)
In a regression analysis, the variable that is used to predict the dependent variable
d. |
is the independent variable |
6)
The equation that describes how the dependent variable ( y) is related to the independent variable ( x) is called
b. |
the regression model |
7)
The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called
c. |
a residual |
8)
Regression analysis is a statistical procedure for developing a mathematical equation that describes how
c. |
one dependent and one or more independent variables are related |
9)
A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is
b. |
the least squares method |