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, median age in 2005, x graduation percentage number of 2005 bankptcies per 1,000 people, X 2004 federal axpenditures per capits, and X2005 high school Intercept AgeMed Bankrupt FedSpend HSG rad% 4,743.8633 25,373 -0.0342 27.0640 (a) Wnte the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) AgeMed+ FedSpend + HSGrad% (b-1) The 2005 state-by-state crime rate per 100,000 O decreases by about 25 as the state median age increases O increases by about 25 as the state median age increases (b-2) The 2005 state-by-state crime rate per 100,000 O decreases by about 15 for every 1,000 new banknaptcies fied O increases by about 15 for avery 1,000 new bankruptoies tled (b-3) The 2005 state-by-state crime rate per 100,000 O increases by 0.0342 for each dollar increase in federal funding per person O decreases by 0 0342 for each dollar increase in lederal funding per person (b-4) The 2005 state-by-state crime rate per 100,000 nouses by atout 271u ach 1% ncrease rhgh school graduations doeases by about 27 for uch 1 % naease in high school graduations. (c) Would the intercept seem to have meaning in this regression? O No D Yes (d) Mske a prediction for Burgiary when x. = 37 years, X-67 bankruptcies per 1,000, X,-$7,863, and X.-72 percent Burglary Rate

Explanation / Answer

a) the fitted regression line is

Y = 4743.8633 - 25.373 Agened + 15.6304 bankrupt - 0.0342 Fedspend - 27.0640 Hsgrad%

b-1) decreased by about 25 as the state median age increases

b-2) increased by about 15 for every 1000 new new bankrupticies field.

b-3) decreases by 0.0342 for each dollar increase for federal funding in each person.

b-4) decreased by about 27 for each 1% increase in high school graduation

C) yes

d) burglary rate = 1688.4645

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