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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Regression Questions

If household income (HI) and systolic blood pressure (SBP) had a linear correlation of r = 0.771, what would you conclude?

        

HI and SBP have a weak linear correlation.

 

HI and SBP are not linearly correlated.

 

HI and SBP have a good linear correlation.

 

HI and SBP have a non-linear relationship.

Suppose the regression model for household income (HI) and systolic blood pressure (SBP) has a slope of -3.2. (Assume household income is measured in thousands of dollars, i.e., 1 = $1000, 10 = $10,000 etc., and that HI is the independent variable).  Which of the following is the correct interpretation of the slope?

       

For every $1000 dollar increase in HI, SBP decreases by 3.2 mm Hg.

 

For every $1000 dollar increase in HI, SBP increases by 3.2 mm Hg.

 

For every one mm Hg increase in SBP, HI increases by 3.2 thousand dollars.

 

For every one mm Hg increase in SBP, HI decreases by 3.2 thousand dollars.

Suppose the coefficient of determination for household income (HI) and systolic blood pressure (SBP) is r2 = 0.594.  What is the interpretation of coefficient of determination?

      

HI explains 0.594 percent of the variation in SBP.

 

HI explains 5.94 percent of the variation in SBP.

 

HI explains 59.4 percent of the variation in SBP.

 

HI does not explain variation in SBP.

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