Correlation and Coefficients Worksheet

Grade 10 Math worksheet covering correlation, scatter plots, and correlation coefficients.

Grade 10 Math Probability and StatisticsCorrelation and Coefficients

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Standards

CCSS.MATH.CONTENT.HSS.ID.B.6aCCSS.MATH.CONTENT.HSS.ID.B.6cCCSS.MATH.CONTENT.HSS.ID.C.8

Topics

correlationcorrelation coefficientscatter plotlinear regressionstatistics

8 sections · Free to use · Printable

Correlation and Coefficients

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Which of the following correlation coefficients represents the strongest linear relationship?

r = 0.5

r = -0.8

r = 0.2

r = -0.1

2. A scatter plot shows a cluster of points that generally go downwards from left to right. This indicates a:

Strong positive correlation

Weak positive correlation

Strong negative correlation

No correlation

1. Correlation implies causation.

True

False

2. A perfect negative correlation has a coefficient of -1.

True

False

1. A is a graphical display of bivariate data.

2. The Pearson product-moment correlation coefficient (r) measures the strength and direction of a relationship between two variables.

1. Describe the difference between positive and negative correlation. Provide an example of each.

Analyze the following scatter plot and answer the questions below.

a. Describe the direction and strength of the correlation shown in the scatter plot.

b. Estimate a possible value for the correlation coefficient (r) for this data.

1. Explain why a correlation coefficient of 0 does not necessarily mean there is no relationship between two variables.