Back to Compute and interpret the correlation coefficient — Problem 5 · Task Set 10

Exercises: Compute and Interpret the Correlation Coefficient

Work through each section in order. The correlation coefficient r measures the STRENGTH and DIRECTION of a LINEAR association on a scale from -1 to +1. Read its SIGN for direction and its MAGNITUDE (distance from 0) for strength. Where a problem gives a calculator or spreadsheet value, use it as your computed r. Remember: r sees only straight-line patterns, an outlier can swing it, and a high r never proves causation.

Grade 10·21 problems·~30 min·Common Core Math - HS Statistics and Probability·group·hss-id-c-8
Work through problems with immediate feedback
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Fluency Practice

Estimate r from each plot, or read and interpret a given r value.

1.

In a spreadsheet, a student selects two data columns and enters ==CORREL(A2:A20, B2:B20). The cell displays 0.67-0.67. To two decimal places, what is the correlation coefficient rr for this data?