Consider the following to answer the question(s) below:
To determine whether the tip left at the end of a meal is related to the size of the total bill at their restaurant, Chez Michelle, data were gathered for 10 customers. The data and summary statistics are shown below.

-The intercept of the estimated regression line that relates the response variable (Tip) to the predictor variable (Total Bill) is
A) -0.6684.
B) 0.6684.
C) 57.42.
D) -57.42.
E) 12.0.

Question

Consider the following to answer the question(s) below:
To determine whether the tip left at the end of a meal is related to the size of the total bill at their restaurant, Chez Michelle, data were gathered for 10 customers. The data and summary statistics are shown below.
 
-The intercept of the estimated regression line that relates the response variable (Tip) to the predictor variable (Total Bill) is
A) -0.6684. 
B) 0.6684. 
C) 57.42. 
D) -57.42. 
E) 12.0.

Quizplus · Accepted Answer

The intercept of a regression line is the value of the response variable when the predictor variable is zero. In this context, it represents the estimated tip amount when the total bill is $0. The correct answer, -0.6684, indicates that the model predicts a negative tip for a $0 bill, which, while not practical in real life, is mathematically possible based on the data used to generate the regression equation.

Consider the Following to Answer the Question(s) Below