The Plot Below Shows the Residuals Vs Fitted Values for the Model

question 13

Multiple Choice

The plot below shows the Residuals vs Fitted Values for the model of predictors Height, Weight, and Chest measurements (all in inches) and response percent body fat (Pct.BF)
Before observation 251 was removed.It was assumed that a typo was made and an extra zero
Was added to the Pct.BF value.Which of the following statements are true?

• A) After removing observation 251 , The value of \(R ^ { 2 }\) will increase.
• B) After removing observation 251 , he standard deviations of the residuals will decrease.
• C) Observation 251 is clearly a high leverage point.
• D) The coefficient of Chest will not change when this point is removed.
• E) Making conclusions without plotting the data can be disastrous.

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Definitions:

Lawn-Mowing

The process of cutting the grass in a garden, lawn, or yard to maintain a desired level of neatness and health.

Profit Per Unit

The amount of income earned from selling one unit of a product after deducting the costs associated with its production and sale.

Profit-Maximizing Output

The level of production where a firm achieves the highest possible profit, where marginal cost equals marginal revenue.

Lawn-Mowing

The action of cutting the grass in a yard or garden using a machine known as a lawnmower.