Answer:
Step-by-step explanation:
Given that a regression model was fit to a sample of breakfast cereals. The response variable Y is calories per serving.
The predictor variables are X1, grams of sugar per serving, and X2, grams of fiber per serving. The fitted regression model is
[tex]Y= 109.3 +1.0.Xi -3.7 X2[/tex]
Here fibre variable x2 has a slope of -3.7
The negative slope represents that whenever x2 increases Y decreases i.e. when we eat more fibres number of calories decreases.
The magnitude 3.7 represents the amount of decrease in calories for 1 unit increase in fibre intake.
Thus in the presence of sugar variable x1, x2 when increases by 1 unit decreases the calory intake by 3.7 units.
