Please answer this as quickly as possible!!! Thanks so much!! :D For a sample of
ID: 3360461 • Letter: P
Question
Please answer this as quickly as possible!!! Thanks so much!! :D
For a sample of 20 New England cities...
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 $1000s). A portion of the regression results are as follows. Use Table 2 and Table 4 ANOVA df MS F Significance F 0.6760 Regression 3,647.98 1,823.99? Residual Total 17 77,386.144,552.13 19 81,034.12 Lower 95% Upper 95% t Stat 8.4581 0.0000 595.29 991.02 0.2043 0.8406 -10.66 Coefficients Standard Error 93.7754 p-value Intercept 793.1584 Poverty Income -13.8563 5.5957 15.4861 -0.8948 0.3834 -46.53 12.95 18.82 1.1431 a. Specify the estimated regression equation. (Negative values should be indicated by a minus sign Report your answers to 4 decimal places.) Poverty+ Income b-1. Choose the appropriate hypotheses to test whether the poverty rate and the crime rate are linearly related b-2. At the 5% significance level, what is the conclusion to the hypothesis test? Reject Ho; the poverty rate and the crime rate are not linearly related. Do not reject Ho; the poverty rate and the crime rate are not linearly related Reject Ho; the poverty rate and the crime rate are linearly related Do not reject Ho; the poverty rate and the crime rate are linearly related c-1. 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, "tai2,df value to 3 decimal places, and final answers to 2 decimal places.) Confidence interval to c-2. Using the confidence interval, determine whether income is significant in explaining the crime rate at the 5% significance level Income is not significant in explaining the crime rate, since its slope coefficient does not O Income is significant in explaining the crime rate. since its slope coefficient significantly differs O Income is not significant in explaining the crime rate, since its slope coefficient significantly O Income is significant in explaining the crime rate, since its slope coefficient does not significantly significantly differ from zero from zero differs from zero differ from zeroExplanation / Answer
a) crme = 793.1584 + 1.1431*poverty - 13.8563*income b1) ho: beta1 = 0; h1: beta1 =/= 0 b2) don’t reject ho; poverty rate and crime are not linearly related c1) 95% ci slope beta2 +- t(a/2,n-2)*sd_beta2 t(a/2,n-2) 2.10092204 lower =-13.8562-2.1009*15.4861 -46.3909 upper =-13.8562+2.1009*15.4861 18.67855 c2) income is not significant in explaining crime rate since slope coefficient doesn significantly differ from zero d1) ho: b1=b2 = 0; ha: at least one bj =/= 0 d2) no, since since null hypothes is not rejected