Question

1. A researcher wants to test a new drug in its ability to decrease the pulse rate for patients. The data are shown below for 6 patients:

Patient	Dosage	Decrease in Pulse
Amy	2	15
Betsy	1.5	9
Chris	3	18
Dorothy	2.5	16
Ethel	4	23
Frank	3	20

Can you teach me to identify what is the coefficient of determination?  Describe what it means in terms of a regression equation

Answer 1

We know that the coefficient of determination or the value of R-square explains the variation in the dependent variable of the regression model due to the independent variables.

Now, we have to find the coefficient of determination for the given data.

The correlation coefficient r between the given two variables Dosage and decrease in pulse is given as

r = 0.961196 (by using excel)

Coefficient of determination = r^2 = 0.961196^2 = 0.923897

Coefficient of determination = 0.923897

This means about 92.39% of the variation in the dependent variable decrease in pulse is explained by the independent variable dosage.