Question

Question 4 1 pts A political scientist was interested in studying America's voting habits. So, he decided to make a least squares regression equation to predict the percentage of people in a state that would vote for Obama in 2012 based on the percentage of people in a state that voted for Obama in 2008. The least squares equation is y-hat - -4.599 +1.04x. In the state of Wyoming, 32.54% voted for Obama in 2008; whereas, 27.82% voted for him in 2012. What is the value of the residual? 0 -3.3 O 1.42 O 3.3 0 -1.42 O 29.24

Answer 1

Answer :

y = -4.599 + 1.04x

predicted value (in 2012) = -4.599 + 1.04 * 32.54

= 29.2426

Observed value (in 2012) = 27.82%

Residual = Observed value - Predicted value

= 27.82 - 29.2426

= -1.4226

Option (d) -1.4226 is the answer.

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