Analyse the following table. How might you express the data as a multiple regression model when dummy variables are incorporated?
A) Performance = 4.0+(1.5×Motivation)+(-1.9×visual)+(-0.003×auditory)
B) Performance = 4.0×(1.5×Motivation)×(-1.9×visual)×(-0.003×auditory)
C) Performance = 4.0×(1.5+Motivation)×(-1.9+visual)×(-0.003+auditory)
D) Performance = 4.0-(1.5/Motivation)-(-1.9/visual)-(-0.003/auditory)

Question

Analyse the following table. How might you express the data as a multiple regression model when dummy variables are incorporated? 
A) Performance = 4.0+(1.5×Motivation)+(-1.9×visual)+(-0.003×auditory) 
B) Performance = 4.0×(1.5×Motivation)×(-1.9×visual)×(-0.003×auditory) 
C) Performance = 4.0×(1.5+Motivation)×(-1.9+visual)×(-0.003+auditory) 
D) Performance = 4.0-(1.5/Motivation)-(-1.9/visual)-(-0.003/auditory)

Quizplus · Accepted Answer

The multiple regression model with dummy variables incorporated would express the relationship between the performance variable and the motivation, visual, and auditory factors as coefficients. The coefficients for visual and auditory are negative, indicating a negative relationship, while the coefficient for motivation is positive, indicating a positive relationship. The intercept of 4.0 represents the performance level when all factors are at their reference level (i.e. motivation = 0, visual = 0, auditory = 0). Therefore, the most appropriate option is A, which represents this information in the correct equation format.

Analyse the Following Table