In Example 5, you used 25 pairs of data to find \(r \approx 0.979\). Is the correlation coefficient significant? Use \(\alpha=0.05\).

Data from Example 5

Use technology to calculate the correlation coefficient for the Old Faithful data in Example 3. Interpret the result in the context of the data.

Data from Example 3

Old Faithful, located in Yellowstone National Park, is the world's most famous geyser. The durations (in minutes) of several of Old Faithful's eruptions and the times (in minutes) until the next eruption are shown in the table at the left. Use technology to display the data in a scatter plot. Describe the type of correlation.

Transcribed Image Text:

Duration, Time, Duration, Time, x y x y 1.80 56 3.78 79 1.82 58 3.83 85 1.90 62 3.88 80 1.93. 56 4.10 89 1.98 57 4.27 90 2.05 57 4.30 89 2.13 60 4.43 89 2.30 57 4.47 86 2.37 61 4.53 89 2.82 73 4.55 86 3.13 76 4.60 92 3.27 77 4.63 91 3.65 77