# Regression analysis

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##### Intros

##### Examples

###### Lessons

**Interpolation and Extrapolation**

A study took a sample of 14 cars and found the age of each car and the amount of money that each car is worth. A best fit line is given by the equation $y=-2100x+27500$, where y is the worth of the car in dollars and $x$ is the age of the car in years.

- A study was done on 17 factory workers on their coffee consumption and how many boxes they were able to move per hour. The results of this study are given in the graph below:

The trend line is given as: $y=8x+56$, with $y$ being the number of boxes moved per hour and $x$ being the number of coffees drunk. **Finding the Best Fitting Curve**- Plot the following bivariate data as a scatter plot, with the time spent on homework on the x-axis.

__Time Spent on Homework____Grade in Class__2 hours

65%

8 hours

80%

13 hours

83%

15 hours

87%

19 hours

91%

24 hours

93%

- Make a line of best fit using the student who spent 8 hours on homework and the student who spent 15 hours studying
- Using the best fit line found in the previous part, estimate what mark a student would achieve in this class if they spent 14 hours on homework

- Plot the following bivariate data as a scatter plot, with the time spent on homework on the x-axis.