ercept Med krupt Spend rad% Coeffit Lent 4,198.5888 -27.3540 17.4893 -0.0124 -29.0314 ick here for the Excel Data File rite the fitted regression equation. (Round your answers to 4 decimal places. Negative values shoul ) Answer is complete but not ent

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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A regression model to predict Y, the state-by-state burglary crime rate per 100,000 people, used the following four state predictors: X₁
=median age. X₂ = number of bankruptcies per 1,000 people, X3 = federal expenditures per capita, and X4 = high school graduation
percentage.
Predictor
Intercept
AgeMed
Bankrupt
Coefficient
4,198.5888
-27.3540
17.4893
-0.0124
FedSpend
HSGrad%
-29.0314
Click here for the Excel Data File
(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be Indicated by a minus
sign.)
|ŷ =
4,670.7702 +
-26.3560 AgeMed +
(b-1) The state-by-state crime rate per 100,000
O decreases by about 17 as the state median age increases.
O increases by about 27 as the state median age decreases.
O increases by about 20 as the state median age decreases.
O decreases by about 27 as the state median age increases.
(b-2) The state-by-state crime rate per 100,000
X Answer is complete but not entirely correct.
-0.0235 FedSpend +
18.1809 Bankrupt +
(b-3) The state-by-state crime rate per 100,000
O decreases by about 7 for every 1,000 new bankruptcies filed.
O increases by about 17 for every 1,000 new bankruptcies filed.
O increases by about 27 for every 1,000 new bankruptcies filed.
O decreases by about 17 for every 1,000 new bankruptcies filed.
O decreases by .025 for each dollar increase in federal funding per person.
O increases by .0124 for each dollar increase in federal funding per person.
O decreases by .0124 for each dollar increase in federal funding per person.
O increases bv .05 for each dollar increase in federal funding per person.
-25.9597 HSGrad
%6
Transcribed Image Text:A regression model to predict Y, the state-by-state burglary crime rate per 100,000 people, used the following four state predictors: X₁ =median age. X₂ = number of bankruptcies per 1,000 people, X3 = federal expenditures per capita, and X4 = high school graduation percentage. Predictor Intercept AgeMed Bankrupt Coefficient 4,198.5888 -27.3540 17.4893 -0.0124 FedSpend HSGrad% -29.0314 Click here for the Excel Data File (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be Indicated by a minus sign.) |ŷ = 4,670.7702 + -26.3560 AgeMed + (b-1) The state-by-state crime rate per 100,000 O decreases by about 17 as the state median age increases. O increases by about 27 as the state median age decreases. O increases by about 20 as the state median age decreases. O decreases by about 27 as the state median age increases. (b-2) The state-by-state crime rate per 100,000 X Answer is complete but not entirely correct. -0.0235 FedSpend + 18.1809 Bankrupt + (b-3) The state-by-state crime rate per 100,000 O decreases by about 7 for every 1,000 new bankruptcies filed. O increases by about 17 for every 1,000 new bankruptcies filed. O increases by about 27 for every 1,000 new bankruptcies filed. O decreases by about 17 for every 1,000 new bankruptcies filed. O decreases by .025 for each dollar increase in federal funding per person. O increases by .0124 for each dollar increase in federal funding per person. O decreases by .0124 for each dollar increase in federal funding per person. O increases bv .05 for each dollar increase in federal funding per person. -25.9597 HSGrad %6
(b-4) The state-by-state crime rate per 100,000
Ⓒincreases by about 29 for each 1% increase in high school graduations.
increases by about 19 for each 1% increase in high school graduations.
decreases by about 19 for each 1% increase in high school graduations.
decreases by about 29 for each 1% increase in high school graduations.
(c) Would the intercept seem to have meaning in this regression?
Yes
O No
(d) Make a prediction for Burglary when X₂ = 35 years, X₂ = 7.0 bankruptcies per 1,000, X3 = $6,000, and X4 = 80 percent.
Burglary Rate
Transcribed Image Text:(b-4) The state-by-state crime rate per 100,000 Ⓒincreases by about 29 for each 1% increase in high school graduations. increases by about 19 for each 1% increase in high school graduations. decreases by about 19 for each 1% increase in high school graduations. decreases by about 29 for each 1% increase in high school graduations. (c) Would the intercept seem to have meaning in this regression? Yes O No (d) Make a prediction for Burglary when X₂ = 35 years, X₂ = 7.0 bankruptcies per 1,000, X3 = $6,000, and X4 = 80 percent. Burglary Rate
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