Question

3) From the following examples, identify the dependent and independent variables in each example, and then write down the linear regression equation. a) Alexandra is interested in studying factors that impact peoples happiness. She has collected data fon ile Geieral Social Survey GSS couaistiu25 of the folla relug vanalks: iyide, age, marital status, happiness in by the number of people under the age of 18 that has a drivers license and other factors. He collected the following data for every state: miles of highway roads, number of people under the age of 18 with a licence, average speed limit on highways, number of traffic fatalities and the number of highway patrol officers

Answer 1

(a)

Dependent variable = Happiness index

Independent variables = (i) Gender, (ii) Age, (iii) Marital status, (iv) Income

The linear regression equation is:

happiness index = + Gender + Age + Marital status + Income

(b)

Dependent variable = Number of Traffic fatalities in a state

Independent variables = (i) Miles of highway roads, (ii) Number of people under the age of 18 with a licence,, (iii) Average speed limit on highways, (iv) Number of patrol officers

The linear regression equation is:

Nuber of traffic fatalities = + Miles + People + Speed limit + Patrol officers