1. linear Regression Unit 1 Day 14

2. F-IF. B. 4: I can model data using lines of regression
F-IF.B.4: I can model data using lines of regression. Sometimes it is possible to model data from a real-world situation with a linear equation. You can then use the equation to draw conclusions about the situation.

3. Defining key terms regression analysis, linear regression, and correction
Take Notes While Watching the Videos
Watch only a portion of this
video (0:35 – 2:05)

4. Finding the linear regression using a ti-84 calculator
Use your calculator and follow the
procedures while watching the video.
Watch this entire video (4:30 min)

5. A local coffee shop in town provided the data below.
The table below shows the number of cups of coffee sold daily and the corresponding daily temperature.
Identify which column represents the independent or explanatory variable, x, and which column represents the dependent or response variable, y.

6. Using the linear regression function on a calculator, determine the line of best fit. Round to the nearest hundredth. Use the equation of the line of best fit to estimate how many cups of coffee will be sold when the temperature is 105˚. Use the equation of the line of best fit to estimate to estimate the temperature when 75 cups of coffee were sold.

7. The table below shows the cost of a gallon of 1% milk for several years. Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data.
Part A: Use the equation of the line of best fit to estimate estimate the cost of 1% milk in Write your answer in terms of a complete sentence.
Part B: Use the equation of the line of best fit to estimate to predict the year in which the a gallon of 1% milk exceeds $5.00. Write your answer in terms of a complete sentence.
YEAR
1998
2000
2002
2004
2006
2008
Average Cost for a Gal. of Milk
2.57
2.83
2.93
3.10
3.71

8. The table below shows the trend of the median home prices in Florida over several decades. Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data.
Part A: Use the equation of the line of best fit to estimate to predict the year the median home price in Florida exceed $200,000. Write your answer in terms of a complete sentence.
Part B: Use the equation of the line of best fit to estimate to predict the median home price in Florida in Write your answer in terms of a complete sentence.
YEAR
1940
1950
1960
1970
1980
1990
Median Home Price ($)
21,100
40,100
58,100
57,600
89,300
105,500

9. The table below shows the percent of sales that were made in music stores in the U.S. for the period Use the equation of the line of best fit to predict the percent of sales made in a music store in 2015.
Year
1999
2000
2001
2002
2003
2004
2005
2006
2007
Sales (%)
44.5
42.4
42.5
36.8
33.2
32.5
37.4
35.4
30.2