Interview Question: Perform simple linear regression on the mtcars dataset

Any person intending to go into the field of data science and machine learning needs to know what simple linear regression is because questions regarding this nice subject are likely to come up in an interview.

Simple linear regression is used to estimate the relationship between two quantitative variables. Two questions that simple linear regression will answer are:-

1. How strong the relationship is between two variables, such as miles per gallon and displacement (Displacement measures overall volume in the engine as a factor of cylinder circumference, depth and total number of cylinders.
2. The value of the dependent variable at a certain value of the independent variable (e.g., the miles per gallon at a certain level of displacement).

Regression models describe the relationship between variables by fitting a line to the observed data. Linear regression models use a straight line. Regression allows you to estimate how a dependent variable changes as the independent variable(s) change.

The formula for a straight line is:-

Simple linear regression is a parametric test, meaning that it makes certain assumptions about the data. These assumptions are:

1. Homogeneity of variance…