Question

The rise in the percentage of Americans who are overweight has been blamed for the rise in diabetes rates. I decided to explore the relationship between these 2 variables by looking at a sample of state data (26 different states). I chose state overweight rates (% of state population who are overweight) as my predictor variable and state diabetes rates (% of state population with diabetes) as my response variable. Please use the MINITAB output displayed here to answer the questions that follow. (Note: I do not show the data here. Use the output and graphs to answer Questions 5 - 7.)

Regression Analysis: % with Diabetes versus % Overweight

The regression equation is

% with Diabetes = - 4.98 + 0.202 % Overweight

Predictor        Coef SE Coef      T      P

Constant       -4.984    4.124 -1.21 0.239

% Overweight 0.20232 0.06510   3.11 0.005

S = 1.02930   R-Sq = 28.7%   R-Sq(adj) = 25.7%

One state in my sample (Alabama) had an overweight rate of 70% and a diabetes rate of 10.1%. What is the predicted diabetes rate and the residual for Alabama?

	a.	y-hat = 70% Residual = 9.16%
	b.	y-hat = 9.16%  Residual = 0.94%
	c.	y-hat = 10.1% Residual = 0.94%
	d.	y-hat = 10.1% Residual = 9.16%
	e.	y-hat = 8.42% Residual = 1.96%

Answer 1