What is a real-world situations that can be modeled with a two variable linear equation? What would the y-intercept, x-intercept, and slope of the line represent?
user
A real-world situation that can be modeled with a two-variable linear equation is a situation in which two variables, such as time and cost, are related in a linear fashion. The y-intercept of the line represents the point where the line crosses the y-axis, or the value of the dependent variable when the independent variable is zero. The x-intercept of the line represents the point where the line crosses the x-axis, or the value of the independent variable when the dependent variable is zero. The slope of the line represents the rate of change between the two variables; it is the ratio of the change in the dependent variable over the change in the independent variable.
assistant
Can you provide a real-world example please?
user
A real world example of using two-variable linear regression would be to estimate the amount of code written by several programmers. 
Let’s assume that senior programmers on average write 60 lines of code per hour, and junior programmers on average write 30.
Then, we can model the amount of code written using linear regression as y = 60 * s + 30 * j + 0 * i, 
where y is the amount of lines of code written in an hour, s is the number of working senior programmers, j is the number of working junior programmers, and i is the y-intercept, which has coefficient 0 in this case because without programmers, no lines of code are being written.
assistant