Question

Asked Jan 16, 2020

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Sports Diameters (cm), circumferences (cm), and volumes (cm3) from balls used in different sports are listed in the table below. Is there sufficient evidence to conclude that there is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association?

Step 1

**Correlation coefficient:**

**Null hypothesis: **There is no correlation between diameters and circumference.

**Alternative hypothesis: **There is correlation between diameters and circumference.

The correlation coefficient between the old ratings and new ratings is obtained as 0.9999995 using the EXCEL formula, **“=CORREL(A2:A9,B2:B9)”**.

Step 2

**T-value:**

The value of t-statistic is calculated as given below:

Step 3

**p-value:**

Using the EXCEL formula, p-value is obtained as **0.0000 (rou...**

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