value 10.00 points For a sample of 20 New England cities, a sociologist studies
ID: 2923512 • Letter: V
Question
value 10.00 points For a sample of 20 New England cities, a sociologist studies the crime rate in each city (crimes per 100.000 residents) as a function of its poverty rate (in %) and its median income in S1,000s) A portion of the regression results are as follows. Use Table 2 and Table 4 ANOVA SS MS F Significance F Regression 2 188246.8 94123.4 9.04E-07 Residual 17 45457.32 2673.96 Total 19 233704.1 Standard Error Stat Lower 95% Upper 95% Intercept -301.62 549.7135 -0.5487 0.5903 -1,461.52 858.28 Poverty 53.1597 142198 3.7384 0.0016 23.16 83.16 a d regression aqualin (Wegative values should bo indicated by aminus sign b-1. Choose the appropriate hypotheses to test whether the poverty rate and the cime rate are linearly 4.9472 82566 0.5992 0.5569 -1247 22.37 Income Report your answers to 4 decimal places.) Poverty+ Crime Income related b2. At the 5% significance levelwhat is the conclusion to the hypothesis test? Reject H. the poverty rate and the crime rate are linearly related O Do not reject H: the poverty rate and the crime rate are linearly related. Do not reject ht: the poverty rate and the crime rate are not linearty related 0 Reject hto; the poverty rate and the crime rate are not linearly related. Construct a 95% confidence interval for the slope coefficient of income. (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places, "ta2.a value to 3 decimal places, and final answers to 2 decimal places.) C-1. Confidence interval to c2. Using the confidence interval, determine whether income is significant in explaining the crime rate at the 5% significance level O Income is significant in explaining the crime rate, since its slope coeficient does not significantly O Income is not significant in explaining the crime rate, since its slope coefficient significantly differs differ from zero ype here to searchExplanation / Answer
c - 1: From the given software output, the 95% confidence interval for income coefficient is:
-12.47 to 22.37
c - 2: Not significant; Does not significantly differ from zero
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