Question

I need help with #19 if someone could please else. Its the bottom question.

Consider the following OLS multiple regression results from Table 2 of “The Impact of Light Skin on Prison Time for Black Female Offenders” [The Social Science Journal 48 (2011), p. 256]. The dependent variable is the natural logarithm of time served, where time served is measured as the number of days served in prison. At the time of admission to prison, correctional officers noted whether female African-American inmates had light skin tones or not, and denoted whether a prisoner was thin (in terms of body weight) or not. Another explanatory variable is the total sentencing components ("the number of counts for a crime an individual is charged with and sentenced for. For example, an individual who breaks into someone's house can be simultaneously charged with breaking and entering and criminal trespass, as well as, potentially, violation of probation. Each of these individual charges can carry a separate sentence component that contributes to the total sentence length”). The other explanatory variables should be self-evident. For some reason, the authors do not report the intercept coefficient, but the coefficient estimates (with the standard errors in parentheses), are reported below. Dependent Variable: Natural Logarithm of Time Served, In(time served) Explanatory Variables Light skin Thin Total sentencing components Parole arrest Conviction date Homicide Robbery Habitual felon Total infractions in prison Coefficients and Standard Errors in Parentheses -0.109 (0.040) -0.099 (0.021) 0.057 (0.004) 0.674 (0.047) -0.001 (0.000) 1.496 (0.070) 0.764 (0.046) 1.973 (0.111) 0.053 (0.002) 11,093 0.280 n R2 How many of the explanatory variables are dummy variables? 0 1 O2 8 Question 19 3 pts Consider the multiple regression output from the question above regarding prison time. The 99- percent confidence interval for the coefficient on homicide is approximately: O 1.426 to 1.546 O 1.359 to 1.633 01.196 to 1.796 01.316 to 1.676

Answer 1

18)The number of dummy variables as explanatory variables is 2.

19)The 99 percent confidence interval for the coefficient on homicide is 1.316 to 1.676

Solutions

18) The dummy variable is a numeric variable that represents categorical data. Here dummy variables are light skin and thin.

19) We know 99 percent confidence goes upto +2.58 and -2.58 standard deviations as per the z table. Here standard error of homicide is 0.70

Hence intervals are 1.496 ± 2.58(0.70) = 1.316, 1.676