Data was collected over a random sample of Denver neighborhoods and contain variables with the following explanation: typ_neighb = ‘neighborhood type: 1=rural or 0=urban' tot_pop = ‘total population in thousands' prop_child = ‘% of children (under 18) in population' prop_lunch = '% of free school lunch participation' prop_change_income = ‘% change in household income over past several years’ crime_rate = ‘crime rate (per 1000 population)’ In this problem, we will analyze the effect of categorized PROP_LUNCH on the variable CRIME_RATE when accounting for PROP_CHANGE_INCOME. The researchers decided to categorize the variable PROP_LUNCH into 3 categories: Lunch A = “Neighborhoods with no more than 33% of schools participating in free school lunch program”? Lunch B = Neigh
Data was collected over a random sample of Denver neighborhoods and contain variables with the following explanation:
typ_neighb = ‘neighborhood type: 1=rural or 0=urban'
tot_pop = ‘total population in thousands'
prop_child = ‘% of children (under 18) in population'
prop_lunch = '% of free school lunch participation'
prop_change_income = ‘% change in household income over past several years’
crime_rate = ‘crime rate (per 1000 population)’
In this problem, we will analyze the effect of categorized PROP_LUNCH on the variable CRIME_RATE when accounting for PROP_CHANGE_INCOME.
The researchers decided to categorize the variable PROP_LUNCH into 3 categories:
Lunch A = “Neighborhoods with no more than 33% of schools participating in free school lunch program”?
Lunch B = Neighborhoods more than 33% but no more than 66% of schools participating in free school lunch program”
Lunch C = “Neighborhoods more than 66% of schools participating in free school lunch program”
Give the estimated model :crime_rate = 142.5737 - 1.9215(Prop_change_income) -38.8741(Lunch A) - 19.20521(Lunch B)
Questions:
(1) Write down the estimated regression model based on the estimated model above that is appropriate for neighborhoods with more than 66% of schools participating in free school lunch program.
(2) Write down the estimated regression model based on the estimated model above that is appropriate for neighborhoods with 33% to 66% of schools participating in free school lunch program.
(3) Write down the estimated regression model based on the estimated model above that is appropriate for neighborhoods with less than 33% of schools participating in free school lunch program.
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