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A major health care organization conducted a study relating the risk of heart at

ID: 2909728 • Letter: A

Question

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 X3is 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 regression coefficient for HDL Level is

-101.92

1.1400

0.3521

-0.0935

A.

-101.92

B.

1.1400

C.

0.3521

D.

-0.0935

Explanation / Answer

The variable X3 represents the HDL level.

From the regression table. we can get the value of regression coefficient for HDL level is -0.0935

Answer: Option D) -0.0935

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