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

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: X_1 = median age in 2005, X_2 = number of 2005 bankruptcies per 1,000 people, X_3 = 2004 federal expenditures per capita, and X_4 = 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.) The 2005 state-by-state crime rate per 100,000 increases by about 28 as the state median age increases. decreases by about 28 as the state median age increases. The 2005 state-by-state crime rate per 100,000 decreases by about 16 for every 1,000 new bankruptcies filed. increases by about 16 for every 1,000 new bankruptcies filed. The 2005 state-by-state crime rate per 100,000 increases by 0.033 for each dollar increase in federal funding per person. decreases by 0.033 for each dollar increase in federal funding per person. The 2005 state-by-state crime rate per 100,000 increases by about 26 for each 1% increase in high school graduations. decreases by about 26 for each 1% increase high school graduations. Would the intercept seem to have meaning in this regression ? Yes No Make a prediction for Burglary when X_1 = 34 years, X_2 = 6.2 bankruptcies per 1.000, X_3 = $5, 715, and X_4 = 71 percent.

Explanation / Answer

The regression equation is formed as

Y = 4303 - 28Age + 15.76Bankrupt - 0.03FedSpend - 26.27 Grad

b) as the age coefficient is negative , hence the value would decreases by 28%

c) in this case the coefficient is 15.76 , approx 16% , as this is positive , hence the value would increase

d) again the coefficient is negative , hence decreases by 0.03 for each dollar spent

e) The coefficent is negative , hence decreases by about 26%

Please note that we can answer only 4 subparts at a time , as per the answering guidelines . However , using the regression equation , we simply put the values given in last question to arrive at value of Y

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