Question

5. (8 pts) The following data is for a sample of students. Name Gender County College year Weekly study hours GPA Liam Male Lauderdale Senior 15 3.2 Emma Female Choctaw Junior 20 3.5 Noah Male Clarke Sophomore 10 2.6 Olivia Female Lauderdale Junior 15 3.0 William Male Jasper Freshman 30 2.8 Ava Female Choctaw Senior 40 2.5 James Male Kemper Sophomore 15 3.5 Isabella Female Newton Senior 10 3.0 Logan Male Newton Freshman 10 3.3 (a) If we want to study how “County” affects "GPA”, what method should be used? (b) If we want to study whether "Weekly study hours" affects “GPA”, what method should be used? (c) If we want to use "Weekly study hours” to predict "Gender", what method should be used? (d) If we want to study whether there is a relationship between "County" and "College year”, what method should be used?

Answer 1

We will need to see whether our dependent variable and independent variable are continuous or categorical in nature to figure out the best method.

a) Linear Regression should be the method to be used as the variable predicted is conituous in nature.

b) As here both the variables are continuous in nature, and seems to have a linear relation so here we will use Linear Regression.

c) As here we have a binary dependent variable so here we will make use of the Logistic Regression, as this is used when dependent variable is binary in nature, and the independent variable is binary or continuous.

d) As here both the variables are categorical, so we will make use of the Chi Square Test, to check if both the variables are dependent or independent.