This rating chart of low-priced CD players is adapted from a Consumer Reports Buying Guide. \[\begin{array} { l l l } \underline{ \text {Brand and model }}& \underline{\text {Price} }& \underline{\text {Overall score }}\\ \text { Onkyo DX-702 } & \$ 185 & 88 \\ \text { Kenwood Dp-2030 } & \$ 155 & 86 \\ \text { Philips CD40 } & \$ 150 & 85 \\ \text { Pioneer PD-5700 } & \$ 150 & 85 \\ \text { Sony CDP-491 } & \$ 145 & 83 \\ \text { Technics SL-PG300 } & \$ 170 & 83 \\ \text { JC XL-V241TN } & \$ 135 & 79 \\ \text { Sears LXI } & \$ 120 & 75 \\ \text { Optimus CD-1760 } & \$ 120 & 74 \\ \text { Sharp DX R250 } & \$ 130 & 74 \end{array}\] A) Make a scatter plot of these data. Choose your scales carefully. \[\begin{array}{l} \begin{array} {| l | l |l |l |l |l |l |l | } \hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \text { }&&&&&&&\\\hline \end{array} \end{array}\] B) Are the two variables positively correlated? Explain how you know. C) An equation for the line of best fit is y = 0.22x + 49. Use the equation to estimate the cost of a CD with a rating of 100.

A) Below is a plot from Excel. The stude

Exam 31: Dealing With Multiple Data Sets or With Multiple Variables

Below is a scatter plot of the test scores for two unrelated tests by the same students. A) Are the two variables positively associated or negatively associated? Explain. B) What might be a reason for that association? C) Does the Test 1 score cause the Test 2 score?

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Question 1

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A) The two variables are positively associated because higher scores on Test 1 tend to go with higher scores on Test 2.
B) Good students usually score well on all tests, and weaker students usually score poorly on all tests.
C) No, although there might be some psychological carryover in the degree of confidence for the student from Test 1 to Test 2.

Consider the following box plots for the scores on the same test by two different classes. What can you tell about the classes and their performances from the box plots?

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Question 2

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The median for Class 2 is greater than the median for Class 1. The scores for Class 1 are more spread out than those for Class 2. Even though Class 1 had the highest scorer(s), it appears that Class 2 tended to perform better.

Sketch a scatter plot of two variables that are clearly negatively associated. Label your axes and give their scales.

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Question 3

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The sketch should show a general downward trend.

This rating chart of low-priced CD players is adapted from a Consumer Reports Buying Guide. Onkyo DX-702 \ 185 88 Kenwood Dp-2030 \ 155 86 Philips CD40 \ 150 85 Pioneer PD-5700 \ 150 85 Sony CDP-491 \ 145 83 Technics SL-PG300 \ 170 83 JC XL-V241TN \ 135 79 Sears LXI \ 120 75 Optimus CD-1760 \ 120 74 Sharp DX R250 \ 130 74 A) Make a scatter plot of these data. Choose your scales carefully. B) Are the two variables positively correlated? Explain how you know. C) An equation for the line of best fit is y = 0.22x + 49. Use the equation to estimate the cost of a CD with a rating of 100.

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Question 4

Predict whether the correlation coefficient for each of the following pairs of variables is close to +1, -1, or 0. Explain your answers. A) the consumption of ice cream and the outside temperature B) the age of an adult smoker and the number of cigarettes smoked each day C) the height of an elementary school child and his/her age D) the mean weight of a Grade 2 class and the number of children in the class

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Question 5

Below are the histograms for the test scores for two tests (for the same class). What can you tell about the performances on the two tests from the histograms?

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Question 6

Below are the box plots for the test scores for two tests (for the same class). What can you tell about the performances on the two tests from the box plots?

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Question 7

Consider the following histograms for the scores on the same test by two different classes. What can you tell about the classes and their performances from the histograms?

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Question 8

Below is a scatter plot of the test scores for two unrelated tests by the same students. A) Are the two variables positively associated or negatively associated? Explain. B) What might be a reason for that association? C) Does the Test 1 score cause the Test 2 score?

Consider the following box plots for the scores on the same test by two different classes. What can you tell about the classes and their performances from the box plots?

Sketch a scatter plot of two variables that are clearly negatively associated. Label your axes and give their scales.

Below are the histograms for the test scores for two tests (for the same class). What can you tell about the performances on the two tests from the histograms?

Below are the box plots for the test scores for two tests (for the same class). What can you tell about the performances on the two tests from the box plots?

Consider the following histograms for the scores on the same test by two different classes. What can you tell about the classes and their performances from the histograms?

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Understanding Change: Relationships Among Time, Distance, and Rate

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Similarity

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Variability in Samples

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