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Get Started Now- Intro Lesson12:49
- Lesson: 1a5:20
- Lesson: 1b3:08
- Lesson: 1c4:27
- Lesson: 2a3:26
- Lesson: 2b3:53
- Lesson: 3a3:26
- Lesson: 3b7:12
- Lesson: 3c3:34

• __Regression analysis__ is what we call our estimation of our bivariate data

• The simplest model for regression analysis is a__"line of best fit"__ or a __"trend line"__

•__Interpolation__ is our estimation of finding a new data point that lies __within__ our known set of data points.

•__Extrapolation__ is our estimation of a new data point that lies __outside__ our known set of data points.

• The simplest model for regression analysis is a

•

•

- IntroductionWhat is Regression Analysis?
- 1.
**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)Using the best fit line interpolate what a car might be worth if it was 5 years old?b)Using extrapolation what might a car be worth if it was 11 years old?c)Using extrapolation what might a car be worth if it was 15 years old? What's wrong with this answer? - 2.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.a)Using the trend line extrapolate how many boxes would be moved if a worker were to drink 15 coffees?b)Is the extrapolation done in the previous part a good estimate? Why or why not? - 3.
**Finding the Best Fitting Curve**a)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%

b)Make a line of best fit using the student who spent 8 hours on homework and the student who spent 15 hours studyingc)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

33.

Correlation and Regression

33.1

Bivariate, scatter plots and correlation

33.2

Regression analysis

33.3

Equation of the best fit line