Question C [SD1: 5 Marks] A multiple regression analysis between yearly income (Y in $1,000s), college grade...

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Advance Math

Question C [SD1: 5 Marks]
           A multiple regression analysis between yearly income (Y in$1,000s), college grade point average (X₁), age of theindividuals (X₂), and the gender of the individual(X₃; zero representing female and one representing male)was performed on a sample of 10 people, and the following resultswere obtained.
Coefficients
Standard Error
Intercept
  4.0928
1.4400
    X₁
10.0230
1.6512
    X₂
  0.1020
0.1225
    X₃
-4.4811
1.4400
ANOVA
DF
SS
MS
F
Regression
360.59
Residual (Error)
Required:
  23.91
1-
Interpret the meaning of the coefficient of X₃.
2-
Is the coefficient of X₃ significant? Use a =0.05.
3-
Perform an F test and determine whether or not the model issignificant.

Answer & Explanation Solved by verified expert

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The regression equation will beHere n10 k31 Interpret the meaning of the coefficient of ansThe males income islower then the females incomethat is if the gender is male then the income reduces See Answer

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	*Coefficients*	*Standard Error*
Intercept	4.0928	1.4400
X₁	10.0230	1.6512
X₂	0.1020	0.1225
X₃	-4.4811	1.4400

ANOVA
		DF	SS	MS	F
Regression			360.59
Residual (Error) Required:			23.91
1-	Interpret the meaning of the coefficient of X₃.
2-	Is the coefficient of X₃ significant? Use a =0.05.
3-	Perform an F test and determine whether or not the model issignificant.