Stats Help PleaseSolutiona As the pvalue of the tstatistic f

Stats Help Please

Solution

a)

As the p-value of the t-statistic for the significance test of the slope (coefficient of NUrchins) of the regression is less than 0.0001 (see the ANOVA output), so we will reject the null hypothesis and conclude that the slope is significantly different from \'0\'. Hence, we can say that there is association between the abundance of the sea urchin spices and the percentage of coral reef surface area covered by algae.

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b)

The t-test for the significance of intercept has the p-value less than 0.0001, so it is very small than the general level of significance of 0.05. Hence, we will reject the null hypothesis and conclude that the intercept is significantly different from 0. Hence it is significant in the regression.

The intercept value is approximately 36, which indicates the number of Coral reefs when the number of NUrchins is 0. So, we can say that initially the total number of Coral reefs is 36 per meter square and it decreases with increase in number of NUrchins.