The following multiple regression output was generated from a study in which two independent variables are included.The first independent variable (X1)is a quantitative variable measured on a continuous scale.The second variable (X2)is qualitative coded 0 if Yes,1 if No. Based on this information,which of the following statements is true?
A)The model explains nearly 63 percent of the variation in the dependent variable
B)If tested at the 0.05 significance level,the overall model would be considered statistically significant.
C)The variable X1 has a slope coefficient that is significantly different from zero if tested at the 0.05 level of significance.
D)All of the above are true.

Question

The following multiple regression output was generated from a study in which two independent variables are included.The first independent variable (X1)is a quantitative variable measured on a continuous scale.The second variable (X2)is qualitative coded 0 if Yes,1 if No.  Based on this information,which of the following statements is true?
A)The model explains nearly 63 percent of the variation in the dependent variable 
B)If tested at the 0.05 significance level,the overall model would be considered statistically significant. 
C)The variable X1 has a slope coefficient that is significantly different from zero if tested at the 0.05 level of significance. 
D)All of the above are true.

Quizplus · Accepted Answer

A) The coefficient of determination (R-squared) is 0.627, which means that the model explains nearly 63 percent of the variation in the dependent variable.

B) The F-statistic is 37.76 with a corresponding p-value of 0.000, indicating that the overall model is statistically significant at the 0.05 level.

C) The t-statistic for X1 is -5.03 with a corresponding p-value of 0.000, indicating that the slope coefficient for X1 is significantly different from zero at the 0.05 level of significance.

Therefore, all of the above statements are true.

The Following Multiple Regression Output Was Generated from a Study