Stoaches are fictional creatures that nest in truffula forests.

A researcher wants to know whether there is a relationship between a stoach’s wingspan ( W, the predictor) and its nest height (H, the response). A sample of 87 stoaches is observed, and for each, the wing-span (in cm) and the nest height (in m) are recorded.

The observed data meet the assumptions for a linear regression, so the researcher fits the regression model and obtains a regression equation

h^=−2.688+0.259w,

with standard error for the coefficient of w equal to 0.166.

Determine the p -value from a test for a statistically significant linear dependence of nest height on wing-span. (Give your answer to 4 decimal places.)

Useful tool- https://teaching.science.mq.edu.au/probtool/