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AP Statistics Super Splendid Non Linear Regression Practice Test |
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1 |
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A common response variable influences __________________. |
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2 |
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Residuals can be mathematically defined as follows: |
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3 |
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When a power regression is performed, which variable(s) is/are transformed? |
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4 |
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Name 4 ways to establish causation |
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5 |
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Bob looks at a regression analysis with an r-square of 0.11, a slope of .17,
and an intercept of 6, and concludes that there is definitely no
relationship between the variables. Is this a proper conclusion? Explain. |
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6 |
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Write the official Statistics definition of slope. |
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7 |
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For a least squares regression, If Sx = 8, r^2 = 0.64, and the slope = 100,
what does Sy equal? |
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8 |
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Which is smaller SST or SSE? |
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9 |
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Name a situation where an exponential regression would likely be
appropriate |
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10 |
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When an exponential regression is performed, which variable(s) is/are transformed? |
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11 |
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Why is a high level of association based on a single regression analysis not
be considered proof of causation? |
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12 |
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For a regression/correlation analysis R-square = 0.75. Using the definition
of R-square, explain what the number means. |
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13 |
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What is the first thing that should be done when performing regression
analysis. |
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14 |
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If a residual plot has a pattern in it what conclusion should you draw
about the regression equation? |
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15 |
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Convert the following into an exponential form: ln(y-hat) = 5x + 7 |
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16 |
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Convert the following into an exponential form: ln(y-hat) =
- 2x + 4 |
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17 |
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Convert the following into a power equation form: ln(y-hat) =
- 4(lnx) + 2.75 |
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18 |
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Convert the following into a power equation form: ln(y-hat) = 3(lnx) + 5 |
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19 |
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For a least squares regression, If Sx =
12, r^2 = 0.8 and Sy = 4 equal what is the slope equal to? |
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20 |
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For a least squares regression, y-hat = 4x + 20, r^2 = 0.64, Sy = 5.
What is Sx? |
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21 |
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For a least squares regression, y-hat = 4x + 20, r^2 = 0.64, Sy = 5, x-bar =
20. Find y-bar. |
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22 |
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For a least squares regression, y-hat = 4x + 20, r^2 = 0.64, Sy
= 5, x-bar = 20. x is increased by 10. Find the corresponding increase in y. |
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23 |
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For a least squares regression, y-hat = 4x + 20, r^2 = 0.64, Sy
= 5, x-bar = 20. Find the value of y when x = 7 |
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24 |
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State the pitfall of using averaged data |
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25 |
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What is a confounding variable? |
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26 |
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What is a common response variable? |
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27 |
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Bob decides to sell bacteria burgers for a living. (They're full of protein
and easily grown.) He has heard of linear regression and wants a linear
model. Perform linear regression for him and report the results. Explain why
this is not a good model. Next perform an appropriate form of non-linear
regression and explain this model to him. Make sketches of the scatter
diagram for the data and all residual plots. Do not forget to report and
explain the r-square values. |
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time: 1
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number of bacteria: 2 |
5, |
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252 |