The heights (in units of feet) and trunk diameters (in units of inches) of 5050 oak trees were obtained, and the correlation of the results that are obtained are shown in the accompanying XLSTAT output.The pp-value for correlation between HEIGHT and DIAMETER is 0.000010.00001.At a significance level of α=0.05α=0.05, is there sufficient evidence to support the claim that there is a linear correlation between tree height and trunk diameter?

Since the correlation coefficient is below 0.90.9, the result is not statistically significant.

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Problem 51Multiple Choice

The heights (in units of feet) and trunk diameters (in units of inches) of $50$ oak trees were obtained, and the correlation of the results that are obtained are shown in the accompanying XLSTAT output.

The $p$ -value for correlation between HEIGHT and DIAMETER is $0.00001$ .
At a significance level of $alpha equals 0.05$ , is there sufficient evidence to support the claim that there is a linear correlation between tree height and trunk diameter?

There is insufficient evidence to support the claim that there is a linear correlation between tree height and trunk diameter.

Since the correlation coefficient is below $0.9$ , the result is not statistically significant.

The correlation is weak, so the relationship between height and diameter is likely due to chance.

There is strong evidence to support the claim that there is linear correlation between tree height and trunk diameter.

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