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| 1 | |
The measure of how well the regression line fits the data is the: |
| | A) | coefficient of determination |
| | B) | slope of the regression line |
| | C) | mean square error |
| | D) | standard error of the regression coefficient |
| | E) | s(b0) |
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| 2 | |
The assumptions of the simple linear regression model include: |
| | A) | the errors are normally distributed |
| | B) | the error terms have a constant variance |
| | C) | the errors have a mean of zero |
| | D) | a and b |
| | E) | a, b, and c |
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| 3 | |
As the relationship deteriorates from a perfect correlation, what happens to the points on a scatter diagram? |
| | A) | They become more scattered. |
| | B) | The slope changes. |
| | C) | The y-intercept changes. |
| | D) | Both B and C, above. |
| | E) | None of the above. |
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| 4 | |
If two variables have a correlation coefficient of .30, what percentage of one variable is accounted for by the other variable? |
| | A) | 30% |
| | B) | 70% |
| | C) | 10% |
| | D) | 9% |
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| 5 | |
Observed errors, which represent information from the data which is not explained by the model, are called? |
| | A) | marginal values |
| | B) | residuals |
| | C) | mean square errors |
| | D) | standard errors |
| | E) | none of the above |
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| 6 | |
In an experiment an analyst has observed that SSxy equals -212.35, SSx equals 237.16 and SSy = 858.49. The sample average for x was 193.1 and the sample average for y was 15.2. Assuming that a linear regression model is appropriate, the least squares estimate for β0 is ____________. |
| | A) | -0.859 |
| | B) | -0.895 |
| | C) | 188.099 |
| | D) | 206.710 |
| | E) | 218.719 |
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| 7 | |
In an experiment an analyst has observed that SSxy equals -212.35, SSx equals 237.16 and SSy = 858.49. The sample average for x was 193.1 and the sample average for y was 15.2. Assuming that a linear regression model is appropriate, the least squares estimate for β1 is ____________. |
| | A) | -0.859 |
| | B) | -0.895 |
| | C) | 188.099 |
| | D) | 206.710 |
| | E) | 218.719 |
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| 8 | |
In an experiment an analyst has observed that SSxy equals -212.35, SSx equals 237.16 and SSy = 858.49. The sample average for x was 193.1 and the sample average for y was 15.2.Assume that a linear regression model is appropriate. These results imply that, if X equals 200, the expected value for Y would be ____________. |
| | A) | 37,618.95 |
| | B) | 26,824.83 |
| | C) | 12.5 |
| | D) | 11.2 |
| | E) | 9.02 |
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| 9 | |
In an experiment an analyst has observed that SSxy equals -212.35, SSx equals 237.16 and SSy = 858.49. The sample average for x was 193.1 and the sample average for y was 15.2. Assuming that a linear regression model is appropriate, approximately ____________ of variation in Y could be attributed to variation in X. |
| | A) | 13% |
| | B) | 22% |
| | C) | 44% |
| | D) | 47% |
| | E) | None of the above |
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| 10 | |
In a regression experiment involving 102 observations an analyst has estimated β0 as 81.41 and β1 as 1.925. In this analysis the sample average for x was 62.5, SSx was 325.64 and the standard error of the regression was 28.5. If x equals 71, a 95% confidence interval for Y would be _____________. |
| | A) | 158.52; 254.55 |
| | B) | 140.72; 272.35 |
| | C) | 149.18; 263.89 |
| | D) | 204.72; 208.35 |
| | E) | 205.63; 207.44 |
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| 11 | |
In a study of 42 observations, the sample covariance between two variables, X1 and X2, is -188.37. If SSx1 equals 202.25 and SSx2 equals 305.12. At α = 0.05, the test statistic for H0: ρ =0 would equal _____________; we would therefore infer _____________ between X1 and X2. |
| | A) | -3.06; a significant negative relationship |
| | B) | 2.14; a significant positive relationship |
| | C) | -1.99; no significant relationship |
| | D) | 5.24; a significant negative relationship |
| | E) | 3.06; a significant positive relationship |
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| 12 | |
Which of the following values is minimized through least squares estimation of β0 and β1? |
| | A) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582617/Ch10_q12_1.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>]]> |
| | B) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582617/Ch10_q12_2.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>]]> |
| | C) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582617/Ch10_q12_3.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>]]> |
| | D) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582617/Ch10_q12_4.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>]]> |
| | E) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582617/Ch10_q12_5.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>]]> |
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