Data are available for a number of Denver, Colorado neighborhoods. The objective is to understand the relationship between the percentage of public school students receiving free lunch and the crime rate. Therefore, a model was built to predict the crime rate (number of crimes per 1,000 in population) using the total population (in thousands) and the percent of free lunch student recipients. Use the information listed below. THE RAW DATA FOR THIS QUESTION ARE **NOT** AVAILABLE TO YOU. Use the output below to answer the following questions. ANOVA df SS MS F-Statistic p-value Regression 2 58,942 29,471 26.290 <0.0001 Residual 43 48,215 1,121 Total 45 107,157 Coefficients Standard Error t-Statistic p-value Intercept 69.567 16.809 4.139 0.0002 Total Population -4.892 1.663 -2.942 0.0052 Percent Free Lunch 1.265 0.221 5.724 <0.0001 (b) By how much does the model estimate the crime rate would change due to a 1% increase in the percentage of students receiving free lunch (assuming all other things are constant)? HINT: Because the question is asking for a change, enter a positive number for an increase in the crime rate or a negative number for a decrease in the crime rate. (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (c) By how much does the model estimate the crime rate would change for a 15% increase in the percentage of students receiving free lunch (assuming all other things are constant)? (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (d) By how much does the model estimate the crime rate would decrease due to a 1,000 person increase in the total population (assuming all other things are constant)? HINT: Because the question has already identified this amount as a decrease, enter the amount of decrease as a positive number. (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (e) By how much does the model estimate the crime rate would change due to a 4,000 person increase in the total population (assuming all other things are constant)? HINT: Because the question is asking for a change, enter a positive number for an increase in the crime rate or a negative number for a decrease in the crime rate. (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (f) What is the typical size of a prediction error from this model? (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (g) Use the full model specified above to predict the crime rate for a Denver neighborhood with a total population of 4,000 and 17% of the student population receiving free lunch. (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population (h) Use the full model specified above to predict the crime rate for a Denver neighborhood with a total population of 3,000 and 23% of the student population receiving free lunch. (Enter your answer to three decimal places.) ( ) crimes per 1,000 in population