Question

A pharmaceutical science researcher would like to use BMI (body mass index) to predict the insulin sensitivity. After analyzing the linear regression, we got a summarized output from computer in Table 4. Please answer following questions: (1 point) a) What is dependent variable? b) What is independent variable? c) What is the value of slope here? How to interpret the slope here? d) What is the R square value? How to interpret the R square? e) Please write down a linear equation based on following data in Table 4.

Table 4. Linear Regression Summary for Insulin Sensitivity and Associated Patient’s BMI

Factor	Regression coefficient	Standard error	p-value
Intercept	2.336	0.462	0.0003
BMI	-0.077	1.807E-0.2	0.0011
R square	0.601

Answer 1

a) What is dependent variable?

dependent variable is Insulin sensitivity

b) What is independent variable?

BMI

c) What is the value of slope here? How to interpret the slope here?

here slope value is -.0077 . it is negative as BMI value increases insulin value decreases .

that is there is negative relationship between BMI and Insulin Sensitivity .

d) What is the R square value? How to interpret the R square?

0.601

variation explained by model is 60.1% it is good .

e) Please write down a linear equation

insulin sensitivity = y and BMI = x

yhat = 2.336 - 0.0077*x