A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X), age...

Transcribed Image Text:

A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X), age of the individuals (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 results were obtained. Constant X X X3 Coefficient 4.0928 10.0230 0.1020 -4.4811 Standard Error 1.4400 1.6512 Degrees of Freedom 0.1225 1.4400 Analysis of Variance Source of Variation Regression Error (a) Write the regression equation for the above. Sum of Squares 360.59 23.91 (b) Interpret the meaning of the coefficient of X3. (c) Compute the coefficient of determination. (d) Is the coefficient of X1 significant? Use = 0.05. Mean Square F A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X), age of the individuals (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 results were obtained. Constant X X X3 Coefficient 4.0928 10.0230 0.1020 -4.4811 Standard Error 1.4400 1.6512 Degrees of Freedom 0.1225 1.4400 Analysis of Variance Source of Variation Regression Error (a) Write the regression equation for the above. Sum of Squares 360.59 23.91 (b) Interpret the meaning of the coefficient of X3. (c) Compute the coefficient of determination. (d) Is the coefficient of X1 significant? Use = 0.05. Mean Square F