Campus crime rates are generally lower than the national average;however thousands of crimes take place on college campuses daily.Cities that are notoriously dangerous would likely be undesirable locations for a college campus.A study examined the crime rates on campuses throughout the United States and whether or not they were significantly affected by surrounding cities.A regression analysis was performed to investigate which characteristics of a city,along with a few chosen demographics of a school,impacted the crime rate on a college campus.There are over 4000 colleges and universities in the United States.The study included a random sample of 129 institutions.The response variable was the number of crimes per 1000 people.Explanatory variables included the percent of married couples in the city (married),tuition of the university (tuition),average income of the city (income),unemployment rate of the city (unemployment),percent of students who belong to a fraternity or sorority (Greek),average age of the students at the university (age),and number of liquor stores in the city (liquor).A complete analysis of the data is shown below. Preliminary analysis indicated that the independent variable,Greek,was clearly not normal and skewed left.Will this cause any problems with the results of the regression analysis?
A)Yes,all of the variables in a regression model need to be normal.
B)Yes,however performing a transformation of the variable Greek that results in a normally distributed distribution will fix the problem.
C)No,there are no distribution assumptions for the independent variables in a regression analysis.
D)No,only in simple linear regression does the independent variable need to be normally distributed.

Question

Campus crime rates are generally lower than the national average;however thousands of crimes take place on college campuses daily.Cities that are notoriously dangerous would likely be undesirable locations for a college campus.A study examined the crime rates on campuses throughout the United States and whether or not they were significantly affected by surrounding cities.A regression analysis was performed to investigate which characteristics of a city,along with a few chosen demographics of a school,impacted the crime rate on a college campus.There are over 4000 colleges and universities in the United States.The study included a random sample of 129 institutions.The response variable was the number of crimes per 1000 people.Explanatory variables included the percent of married couples in the city (married),tuition of the university (tuition),average income of the city (income),unemployment rate of the city (unemployment),percent of students who belong to a fraternity or sorority (Greek),average age of the students at the university (age),and number of liquor stores in the city (liquor).A complete analysis of the data is shown below.       Preliminary analysis indicated that the independent variable,Greek,was clearly not normal and skewed left.Will this cause any problems with the results of the regression analysis?
A)Yes,all of the variables in a regression model need to be normal. 
B)Yes,however performing a transformation of the variable Greek that results in a normally distributed distribution will fix the problem. 
C)No,there are no distribution assumptions for the independent variables in a regression analysis. 
D)No,only in simple linear regression does the independent variable need to be normally distributed.

Quizplus · Accepted Answer

The Answer of Campus crime rates are generally lower than the national average;however thousands of crimes take place on college campuses daily.Cities that are notoriously dangerous would likely be undesirable locations for a college campus.A study examined the crime rates on campuses throughout the United States and whether or not they were significantly affected by surrounding cities.A regression analysis was performed to investigate which characteristics of a city,along with a few chosen demographics of a school,impacted the crime rate on a college campus.There are over 4000 colleges and universities in the United States.The study included a random sample of 129 institutions.The response variable was the number of crimes per 1000 people.Explanatory variables included the percent of married couples in the city (married),tuition of the university (tuition),average income of the city (income),unemployment rate of the city (unemployment),percent of students who belong to a fraternity or sorority (Greek),average age of the students at the university (age),and number of liquor stores in the city (liquor).A complete analysis of the data is shown below.       Preliminary analysis indicated that the independent variable,Greek,was clearly not normal and skewed left.Will this cause any problems with the results of the regression analysis?
A)Yes,all of the variables in a regression model need to be normal. 
B)Yes,however performing a transformation of the variable Greek that results in a normally distributed distribution will fix the problem. 
C)No,there are no distribution assumptions for the independent variables in a regression analysis. 
D)No,only in simple linear regression does the independent variable need to be normally distributed.

Campus Crime Rates Are Generally Lower Than the National Average;however