The figure below is based on a regression model of Species o

The figure below is based on a regression model of Species on 2 predictors, Adjacent amd Area. Two 95% confidence intervals on the regression coefficients are provided by the dashed lines in the figure. A 95% confidence ellipsoid is also provided.

Solution

a. The value Area = 0 lies within the interval defined by the dotted line, hence we fail to reject H0 and conclude that the coefficient of area is equal to zero.

b. The value Adjacent = 0 does not lie within the interval defined by the dotted line, hence we reject H0.