A regression model to predict Y , the state-by-state 2005 burglary crime rate pe

Question

A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage.

Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)

Make a prediction for Burglary when X1 = 34 years, X2 = 7.9 bankruptcies per 1,000, X3 = $7,959, and X4 = 89 percent. (Enter your answer in thousands. Round your answer to 4 decimal places.)

A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage.

Explanation / Answer

(a)

Burglary rate = 4,459.7813 - 26.1900X1 + 16.9037X2 - 0.0161X3 - 30.9882X4

(b) Plugging in values,

Burglary rate = 4,459.7813 - 26.1900 x 34 + 16.9037 x 7.9 - 0.0161 x 7,959 - 30.9882 x 89

= 4,459.7813 - 890.4600 + 133.5392 - 128.1399 - 2,757.9498

= 816.7708

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