Bivariate Data Analysis Worksheet

Analyze relationships between two variables using scatter plots, correlation, and regression.

Grade 11 Math Probability and StatisticsBivariate Data

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3 Short AnswerMultiple ChoiceCustomFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSS.ID.B.6CCSS.MATH.CONTENT.HSS.ID.C.7CCSS.MATH.CONTENT.HSS.ID.C.8CCSS.MATH.CONTENT.HSS.ID.C.9

Topics

bivariate datascatter plotcorrelationregressionstatistics

8 sections · Free to use · Printable

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Bivariate Data Analysis

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Read each question carefully and provide your best answer. Show all your work for calculations.

1. Define bivariate data and give an example of two variables that would constitute bivariate data.

2. Which of the following statements about correlation and causation is true?

Correlation implies causation.

Causation implies correlation.

Neither correlation nor causation can be determined from bivariate data.

Correlation and causation are unrelated concepts.

3. Describe the characteristics of a scatter plot that would indicate a strong negative linear correlation.

4. Plot the following bivariate data on the graph below and describe the type of correlation you observe:

| X | Y |

|---|---|

| 2 | 8 |

| 4 | 7 |

| 6 | 6 |

| 8 | 5 |

| 10| 4 |

Type of correlation:

5. The coefficient of determination, denoted by r², represents the proportion of the in the dependent variable that is predictable from the independent variable.

6. Explain what the slope of a least-squares regression line represents in the context of bivariate data.