Question

In: Statistics and Probability

A scientist is interested in the relationship between the number of hours that bears spend sleeping...

A scientist is interested in the relationship between the number of hours that bears spend sleeping in the week before they wake up, and the food they received on that hunt. Data was collected for four bears.

Hours of sleep

Food received

1

76

2

85

3

64

5

70

You are to perform a statistical analysis for the scientist.

a. Note which variable is the independent, and which is the dependent variable.

b. Compute the least squares estimated regression equation

c. Compute the correlation coefficient

d. Is the relationship between the independent and the dependent variable significant?

e. Does a change in the number of hours of sleep cause the change in hunt?

Solutions

Expert Solution

Note : Allowed to solve only 4 questions in one post.

a. Note which variable is the independent, and which is the dependent variable.

Independent variable = Hours of sleep
Dependent variable : Food received

b. Compute the least squares estimated regression equation

Step 1 : find the following statistics given in the table

c. Compute the correlation coefficient


d. Is the relationship between the independent and the dependent variable significant?


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