Breakfast cereals. 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 Y 109.3 +1.0.Xi -3.7 X2 In the context of this setting, interpret -3.7, the coefficient of X2. That is, describe how fiber is related to calories per serving, in the presence of the sugar variable.

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

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.

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step-by-step explanation: