Question

A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.

Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%

Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?

Answer 1

Answer:

0.4216

Step-by-step explanation:

from the data given The estimate of the standard deviation of the sampling distribution of b,

( The slope of the sample regression line for the relationship )

= 0.4216  (  i.e. intersection of SE coef and water temperature )

Testing the effect of water temperature on the length of time sea otters can remain