By Duane C. Hinders — McGrawHill Professional
Updated on Feb 5, 2011
Review the following concepts if necessary:
 Scatterplots for AP Statistics
 Correlation for AP Statistics
 Lines of Best Fit for AP Statistics
 Residuals for AP Statistics
 Coefficient of Determination for AP Statistics
 Outliers and Influential Observations for AP Statistics
 Transformations to Achieve Linearity for AP Statistics
Problems
 Given a set of ordered pairs (x, y) so that s_{x} = 1.6, s_{y} = 0.75, r = 0.55. What is the slope of the leastsquare regression line for these data?
 1.82
 1.17
 2.18
 0.26
 0.78
 1.71
 –1.71
 2.29
 5.15
 –2.29
 A study found a correlation of r = –0.58 between hours per week spent watching television and hours per week spent exercising. That is, the more hours spent watching television, the less hours spent exercising per week. Which of the following statements is most accurate?
 About onethird of the variation in hours spent exercising can be explained by hours spent watching television.
 A person who watches less television will exercise more.
 For each hour spent watching television, the predicted decrease in hours spent exercising is 0.58 hrs.
 There is a causeandeffect relationship between hours spent watching television and a decline in hours spent exercising.
 58% of the hours spent exercising can be explained by the number of hours watching television.
 A response variable appears to be exponentially related to the explanatory variable. The natural logarithm of each yvalue is taken and the leastsquares regression line is found to be ln(y) = 1.64 – 0.88x. Rounded to two decimal places, what is the predicted value of y when x = 3.1?
 –1.09
 –0.34
 0.34
 0.082
 1.09
 Consider the following residual plot:
 The residual plot indicates that a line is a reasonable model for the data.
 The residual plot indicates that there is no relationship between the data.
 The correlation between the variables is probably nonzero.
 I only
 II only
 I and III only
 II and III only
 I and II only
 Suppose the LSRL for predicting Weight (in pounds) from Height (in inches) is given by Weight = –115 + 3.6 (Height). Which of the following statements is correct?
 A person who is 61 inches tall will weigh 104.6 pounds.
 For each additional inch of Height, Weight will increase on average by 3.6 pounds.
 There is a strong positive linear relationship between Height and Weight.
 I only
 II only
 III only
 II and III only
 I and II only
 A leastsquares regression line for predicting performance on a college entrance exam based on high school grade point average (GPA) is determined to be Score = 273.5 + 91.2 (GPA). One student in the study had a high school GPA of 3.0 and an exam score of 510. What is the residual for this student?
 26.2
 43.9
 –37.1
 –26.2
 37.1
 The correlation between two variables X and Y is –0.26. A new set of scores, X* and Y*, is constructed by letting X* = –X and Y* = Y +12. The correlation between X* and Y* is
 – 0.26
 0.26
 0
 0.52
 – 0.52
 A study was done on the relationship between high school grade point average (GPA) and scores on the SAT. The following 8 scores were from a random sample of students taking the exam:
 62.1%
 72.3%
 88.8%
 94.2%
 78.8%
The regression line for the twovariable dataset given above is = 2.35 + 0.86x. What is the value of the residual for the point whose xvalue is 29?
Which of the following statements is (are) true?
What percent of the variation in SAT scores is explained by the regression of SAT score on GPA?

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From 5 Steps to a 5 AP Statistics. Copyright © 2010 by The McGrawHill Companies. All Rights Reserved.
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