Mr. Rogers - AP Statistics Objectives
Unit Plan Practice Test Practice Test Answers
      AP Statistics Super Splendid Non Linear Regression Practice Test 
  1 ) A common response variable influences __________________.
  2 ) Residuals can be mathematically defined as follows:
  3 ) When a power regression is performed, which variable(s) is/are transformed?
  4 ) Name 4 ways to establish causation     
  5 ) 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.
  6 ) Write the official Statistics definition of slope.
  7 ) For a least squares regression, If Sx = 8, r^2 = 0.64, and the slope = 100, what does Sy equal?
  8 ) Which is smaller SST or SSE?
  9 ) Name a situation where an exponential regression would likely be appropriate 
  10 ) When an exponential regression is performed, which variable(s) is/are transformed?
  11 ) Why is a high level of association based on a single regression analysis not be considered proof of causation?
  12 ) For a regression/correlation analysis R-square = 0.75. Using the definition of R-square, explain what the number means.
  13 ) What is the first thing that should be done when performing regression analysis.
  14 ) If a residual plot has a pattern in it what conclusion should you draw about the regression equation?
  15 ) Convert the following into an exponential form: ln(y-hat) = 5x + 7
  16 ) Convert the following into an exponential form: ln(y-hat) = - 2x + 4
  17   Convert the following into a power equation form: ln(y-hat) = - 4(lnx) + 2.75
  18 ) Convert the following into a power equation form: ln(y-hat) = 3(lnx) + 5
  19 ) For a least squares regression, If Sx = 12, r^2 = 0.8 and Sy = 4 equal what is the slope equal to?
  20 ) For a least squares regression, y-hat = 4x + 20, r^2 = 0.64,  Sy = 5. What is Sx?
  21 ) For a least squares regression, y-hat = 4x + 20, r^2 = 0.64, Sy = 5, x-bar = 20. Find y-bar.
  22 ) 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.
  23 ) 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
  24 ) State the pitfall of using averaged data
 

25

) What is a confounding variable?
  26 ) What is a common response variable?
  27 ) 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.
      time:                        1  2 3 4 5 6 7 8
      number of bacteria: 2 5, 9 19 30 68 130 252  
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