Note: The filled in answers are correct Here is the problem: A regression model

Question

Note: The filled in answers are correct

Here is the problem:

A regression model to predict Y. the state-by-state 2005 burglary crime rate per 100,000 people used the following rour state predictors: x1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people. X,-2004 federal expenditures per capita, and X4 2005 high school graduation percentage intercept Agelsed Bankrupt 4,318 7298 -25.772 15.8250 -0.0316 27.7307 HSGra0% (a) Write the fitted regression equation. Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) AgeMed+ Bankrupt + FedSpend+ HSGrad% (b-1) The 2005 state-by-state crime rate per 100,000 decreases by about 26 as the state median age increases. increases by about 26 as the state median age increases. (b-2) The 2005 state-by-state crime rate per 100,000 increases by about 16 for every 1,000 new bankruptcies filed. O decreases by about 16 for every 1,000 new bankruptcies filed. (b-3) The 2005 state-by-state crime rate per 100,000 decreases by 0.0316 for each dollar increase in federal funding per person. increases by 0.0316 for each dollar increase in federal funding per person. (b-4) The 2005 state-by state crime rate per 100,000 decreases by about 28 for each 1% increase in high school graduations. increases by about 28 for each 1% increase in high school graduations (c) Would the intercept seem to have meaning in this regression? No O Yes (d) Make a prediction tor Burglary when X1 = 35 years, X2-6.0 bankruptcies per 1,000, X3-$7,355, and X,-74 percent. Burglary Rate

Explanation / Answer

a) Y = 4319 – 26AgeMed + 16Bankrupt – 0.0316FedSpend -28HSGrad%

d) Y = 4319 – 26*(36) + 16*(6) – 0.0316*(7.355) -28*(74)

Y = 1406.77

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