Question

A random sample of 200 women who were at least 21 years old, of Pima Indian heritage and living near Phoenix, Arizona, were tested for diabetes according to World Health Organization criteria. The model below is used for predicting their plasma glucose concentration based on their diastolic blood pressure (in mmHg), age (in years), and whether or not they are diabetic. Which of the following statements is FALSE? Estimate Std. Err. t P(t > |t|) intercept 76.00 12.24 6.2 3e-09 bloodpressure 0.35 0.18 1.9 0.05 age 0.43 0.20 2.1 0.04 diabetes_Yes 26.57 4.37 6.1 6e-09 Multiple R-squared: 0.28, Adjusted R-squared: 0.27 The predicted difference in blood glucose levels of two 25 year old females who don't have diabetes one of whom has a blood pressure of 70mmHg and the other 75 mmHG is 0.35 * 5 = 1.75. The model predicts that women without diabetes have blood glucose levels that are on average 26.57 higher than those who have diabetes, given that they are similar in terms of their blood pressure and age. The model explains 28% of variability in blood glucose levels of these women. Incorrect The predicted difference in blood glucose levels of two 25 year old females who don't have diabetes one of whom has a blood pressure of 70mmHg and the other 75 mmHG is 0.35 * 5 = 1.75. IS A TRUE STATEMENT

Answer 1

given that the regression coefficient for diabetes women is 26.57

this means that women with diabetes will have 26.57 more on glucose level

R squared is 0.28 or 28%, so 28% of variation is explained by the independent variable.

option A and C are correct and matching with the given data

so, we can say that all statements are correct except B, i.e. The model predicts that women without diabetes have blood glucose levels that are on average 26.57 higher than those who have diabetes, given that they are similar in terms of their blood pressure and age.

so, false statement is option B