Quantitative Reasoning

Part A Statistical Tables and Graphs
Frequency Table for Exam Scores

Scores Frequency Relative Cumulative
Frequency Frequency

95-99 2 6.7% 2
90-94 2 6.7% 4
85-89 6 20.0% 10
80-84 4 13.3% 14
75-79 6 20.0% 20
70-74 1 3.3% 21
65-69 4 13.3% 25
60-64 0 0.0% 25
55-59 2 6.7% 27
50-54 1 3.3% 28
45-49 1 3.3% 29
40-44 0 0.0% 29
35-39 1 3.3% 30
Total 30 100% 30
"Frequency Bar Chart for Exam Scores

"Relative Frequency Bar Chart for Exam Scores"

4. The data for Part A has been displayed in four ways:
a) Raw Data for Exam Scores
b) Frequency Table for Exam Scores
c) Frequency Bar Chart for Exam Scores
d) Relative Frequency Bar Chart for Exam Scores
1. Provide an in-depth rationale of which data display that you personally find the most compelling and which the least compelling.

Part B Car Fuel Consumption, Weight and Displacement

Now post your answers to the following questions from your Answer Form document in Part B, #1 - #4.
1. Is there positive or negative correlation between Highway Fuel Consumption and Weight? Briefly explain.

2. Make some observations from the chart

3. Interpret .

4. What is the best predicted fuel consumption rate, to the nearest tenth, for a car that weighs 3000 lb? Hint: Substitute 3000 for y in the trendline equation and solve for x. You must show your work.

Now post your answers to the following questions in your Answer Form document in Part B, #5 - #8.
5. Is there positive or negative correlation between Highway Fuel Consumption and Engine Displacement? Briefly explain.
6. Make some observations from the chart (See the examples above)
7. Interpret . (2 points) [Do not use R in your interpretation.]
8. What is the best predicted fuel consumption rate, to the nearest tenth, for a car with an engine displacement of 4.0 liters? Hint: Substitute 4 for y in the trendline equation and solve for x. You must show your work.
9. Based on your work above, which factor is more relevant to predict the fuel consumption rate: the car's weight or its engine displacement? Why? Use the values for in your discussion. Do not use R in this discussion.
10. Based on your work above, which prediction for the fuel consumption rate is better: the result from 5) or the result from 10)? Why? Use the values for R in your discussion. Do not use in this discussion.