Question 4
(18 pts)
Due to the difficulties of weighing a full-grown polar bear in its natural habitat, a group of researchers in the Arctic are investigating whether the length of an adult male polar bear (from nose to tail and measured in centimeters) could be used to predict its weight (in kilograms). In order to do so, a simple linear regression model is fit using the length of the bear as the explanatory variable and the bear's weight as the response variable.
The dataset for this example consists of observations gathered during annual Arctic research expeditions from January 2005 through December 2020. These observations include the lengths and weights of adult male polar bears.
The corresponding partial JMP output is given below.
Linear Fit
Predicted Weight of Polar Bear = 98.22 + 2.18 * Length
(Use all available decimal places and keep all available decimal places for all parts that involve calculations.)
Consider the following null and alternative hypotheses:
- What is the estimated slope?
2.18 - What is the value of the test statistic for the slope?
2.07619 - The p-value for the test listed above is:
0.0404 - Based on the test in questions 1 through 3, what conclusion can we draw?
There is strong/substantial evidence that there is a linear relationship between length and weight of male adult polar bears.