Question: In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that _____.
A) options:
|
| there is a positive correlation between x and y |
|
| there is a negative correlation between x and y |
|
| if x is increased, y must decrease |
|
| None of the answers is correct. |
B)
Regression analysis was applied between Price (in $1000s) and advertising (also in $1000s), and the following regression function was obtained.
= 100 + 5x
Based on the above estimated regression line, if advertising is $20,000, then the point estimate for price (in dollars) is _____.
B options:
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| $200,000 |
|
| $105,000 |
|
| $900,000 |
|
| $200 |
C)
Regression analysis was applied between House Price(in $1000s) and square footage of the house, and the following regression function was obtained.
= 100 + 5x
The above equation implies that an increase of _____.
C options:
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| 5 in square footage is associated with an increase of $1,000 in price |
|
| 1 in square footage is associated with an increase of $5,000 in price |
|
| 1 in square footage is associated with an increase of $56,000 in price |
|
| $1 in square footage is associated with an increase of $5,000 in price |
D)
In simple linear regression, r2 is the _____.
D options:
|
| estimated regression equation |
|
| coefficient of correlation |
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| sum of the squared residuals |
|
| coefficient of determination |
E)
Larger values of r2 imply that the observations are more closely grouped about the _____.
E options:
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| average value of the independent variables |
|
| average value of the dependent variable |
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| least squares line |
|
| origin |
F)
In a regression analysis, if SSE = 500 and SSR = 300, then the coefficient of determination is _____.
F options:
|
| .600 |
|
| .166 |
|
| 1.666 |
|
| .375 |
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