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Data were gathered from a simple random sample of cities. The variables are Viol

ID: 3257176 • Letter: D

Question

Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population). Police Office Wage (mean exist/hr), and Graduation Rate (%). One natural question to ask of these data is how police officer wages are related to violent crime across these cities. Complete parts (a) and (b). a) Name and check (to the extent possible) the regression assumptions and their corresponding conditions. Is the linearly condition satisfied? A. Yes B. No C. There is insufficient information to check the linearly condition. D. The linearity condition does not need to be satisfied. Is the independence assumption satisfied? A. Yes B. No C. There is insufficient information to check the independence assumption. D. The independence assumption does not need to be satisfied. Is the equal variance condition satisfied? A. No B. Yes C. There is insufficient information to check the equal variance condition. D. The equal variance condition does not need to be satisfied. Is the normality condition satisfied? A. No B. Yes C. There is insufficient evidence to check the normality condition. D. The normality condition does not need to be satisfied. Was less than 10% of the population sampled? A. No B. Yes C. There is insufficient to check this condition. D. This condition does not need to be satisfied.

Explanation / Answer

a.) Since the scatter plots show no liner patern throughout , we can conclude that there is no linear relationship between the two variables.

b.) Yes, Since the source of collecting data and the nature of data collection does not allow dependence between the two vaariables, they are independent.

c.) Since the plot of residulas is not available we can not determine eqquality of variance, If the residuals fan out in triangular fasion then it reflects inequality of variance.

d.)There is insufficient information to judge the normal distriburion of the data. We need the scatter plot of the residuals to judge their normality