Chapter 1-4 Review Name Per
2005 Exam B – Question 1
The graph below displays the scores of 32 students on a recent exam. Scores on this exam ranged from
64 to 95 points.
6 * *
6 * *
7 * * *
7 * * * *
8 * * * *
8 * * * * * *
9 * * * * * * *
9 * * * *
(a) Describe the shape of this distribution.
(b) In order to motivate her students, the instructor of the class wants to report that, overall, the class's performance on the exam was high. Which summary statistic, the mean or the median, should the instructor use to report that overall exam performance was high? Explain.
(c) The midrange is defined as (maximum + minimum)/2. Compute this value using the data on the preceding table. Is the midrange considered a measure of center or a measure of spread? Explain.
2001 Exam – Question 1
The summary statistics for the number of inches of rainfall in Los Angeles for 117 years, beginning in 1877, are shown below.
N / MEAN / MEDIAN / TRMEAN / STDEV / SE MEAN117 / 14.941 / 13.070 / 14.416 / 6.747 / 0.624
MIN / MAX / Q1 / Q3
4.850 / 38.180 / 9.680 / 19.250
(a) Describe a procedure that uses these summary statistics to determine whether there are outliers.
(b) Are there outliers in these data? ______
Justify your answer based on the procedure that you described in part (a).
(c) The news media reported that in a particular year, there were only 10 inches of rainfall. Use the information provided to comment on this reported statement.
2005 Exam – Question 3
The Great Plains Railroad is interested in studying how fuel consumption is related to the number of railcars for its trains on a certain route between Oklahoma City and Omaha.
A random sample of 10 trains on this route has yielded the data in the table below, the scatterplot, the residual plot and the output from the regression analysis for these data.
Number of Railcars / Fuel Consumption (units/mile)20 / 58
20 / 52
37 / 91
31 / 80
47 / 114
43 / 98
39 / 87
50 / 122
40 / 100
29 / 70
The Regression Equation is
Fuel Consumption = 10.7 + 2.15 Railcars
Predictor / Coef / StDev / T / PConstant / 10.677 / 5.157 / 2.07 / 0.072
Railcar / 2.1495 / 0.1396 / 15.40 / 0.000
S=4.361 R-Sq=86.7% R-Sq(adj)=96.3%
(a) Is a linear model appropriate for modeling these data? Clearly explain your reasoning.
(b) Suppose the fuel consumption cost is $25 per unit. Give a point estimate (single value) for the change in the average cost of fuel per mile for each additional railcar attached to a train. Show your work.
(c) Interpret the value of r2 in the context of this problem.
(d) Would it be reasonable to use the fitted regression equation to predict the fuel consumption for a train on this route if the train had 65 railcars? Explain.