Question

A nursing instructor wishes to see whether a student’s grade point average and age are related to the student’s score on the state board nursing exam. She found a significant relationship between student’s GPA (x1), age (x2), and the student’s state board score (y). This relationship is described

by the multiple regression equation y^= -44.81 + 87.64x1 + 14.533x2

Predict a student’s state board score, if the student has a GPA of 3.0 and is 25 years old

Answer 1

The predicted state board score for a student with a GPA of 3.0 and age of 25 is approximately 581.435.

Step-by-step explanation:

To predict a student's state board score based on their GPA and age, we can use the multiple regression equation y^ = -44.81 + 87.64x1 + 14.533x2, where y^ represents the predicted state board score, x1 represents the GPA, and x2 represents the age. In this case, the student has a GPA of 3.0 and is 25 years old. To find the predicted state board score, we substitute the values into the equation:

y^ = -44.81 + 87.64(3.0) + 14.533(25)

y^ = -44.81 + 262.92 + 363.325

y^ = 581.435

Therefore, the predicted state board score for the student with a GPA of 3.0 and age of 25 is approximately 581.435.