QUESTION 8 A major health care organization conducted a study relating the risk
ID: 2909722 • Letter: Q
Question
QUESTION 8
A major health care organization conducted a study relating the risk of heart attack to a patient's age, blood pressure, and HDL cholesterol. They have hypothesized the following relationship:
Y = ?0 + ?1X1 + ?2X2 + ?3X3
where Y is heart attack risk, Xl is patient's age, X2 is blood pressure, and X3 is HDL level. Data are collected and a regression relationship is determined through the use of the computer. The following Excel output is obtained:
Regression Statistics ANOVA df SS MS F Significance F
Multiple R .828 Regression 3 3201.82 1067.27 11.66 .0003
R Square .686 Residual (Error) 16 1464.98 91.56
Standard Error 9.57 Total 19 4666.80
Observations 20
Coefficients Standard Error t-Stat P-Value
Intercept -101.92 - - -
X1 1.1400 0.2554 4.463 .0004
X2 0.3521 0.0744 4.367 .0005
X3 -0.0935 0.3108 - 0.301 .7674
The value of the sample multiple coefficient of determination is???????
Explanation / Answer
Solution: The value of the sample multiple coefficient of determination is?
Answer: Looking at the given excel outputs we have R square (coefficient of determination) = 0.686
Therefore, the value of the sample multiple coefficient of determination is 0.686.
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