AAT (H) Linear regression day 2
All Calculator All the time
Work on each of the following Questions using the calculator to graph the Best fit line. Write the equation from
the calculator, and use that to answer the following questions.
1) During cold season, TV weather reporters usually give wind-chill temperatures as well as actual
temperatures. The wind-chill temperature is an estimate of how the wind makes the outside temperature feel.
The following table shows actual temperatures and wind-chill temperature equivalents when the wind velocity
is 5 miles per hour. Thus, for example, a temperature of 45 F with a wind of 5mph feels like a temperature of
43 F with no wind.
Actual Temp.
 F
45
35
25
15
5
-5
-15
-25
Wind-chill
Temp.
 F
43
32
22
11
0
-10
-21
-31
a) Let x represent the Actual Temperature and y represent the Wind-chill Temp. Plot the points and write down
the regression equation represented from the data.
b) Estimate the wind-chill temperature for 18 F actual temperature
c) Now, work in reverse. Estimate the Actual temperature for a wind-chill of 25
2) The following science project relates the miles per gallon of a hybrid car to its speed (miles per hour). Using
the calculator, make a scatterplot of the data and write the linear regression model from the data below.
Speed (mile per hour)
Mileage (miles per gallon)
30
34
40
33.5
50
31.5
60
29
70
27.5
Linear regression model
a) Predict the mileage for a speed of 55 miles per hour.
b) Predict the mileage for a speed of 28 miles per hour.
c) If your gas light came on which means you have 2 gallons left. What would your speed have to be in order to
make it to the next gas station 64 miles away.
The following table give the heights of 10 tall buildings in the United States in stories and feet.
City
Chicago
New York
New York
Chicago
Chicago
New York
New York
Atlanta
Los Angeles
Chicago
Building
Willis Tower
Empire State Building
Bank of America Tower
Aon Center
John Hancock Center
Chrysler Building
New York Times Building
Bank of America Plaza
U.S. Bank Tower,
AT&T Corporate Center,
Feet
1450
1250
1201
1135
1129
1047
1047
1024
1020
1007
Stories
108
102
54
83
100
77
52
55
73
60
Make a scatter plot where x represents the stories and y represents the height in feet.

Why do you suppose we let x = the number of stories in the model?
Find the linear regression model for the data shown and use that to answer the following questions.

Linear regression model
a) according to our model, how tall would a 140 story building be?
b) The Burj Khalifa, a skyscraper in Dubai, United Arab Emirates, is currently the
tallest structure in the world at 2717 feet with 160 floors. Does our model accurately
predict this? Why or why not.
c) The Canton Tower, formerly Guangzhou TV and Sightseeing Tower, is an
observation tower in the Haizhu District of Guangzhou, Guangdong, China.
Topping out at a whopping 2000 feet, use your model to find out how many more
stories this has compared to the Willis Tower, the one just in our back yard.