Part 1D: Check your understanding:
Exploring Example Data
Use the above Greenhouse App to check your understanding
Name (if more than one name, separate each name with a comma)
Instructor's Email
Enter the Player ID you used to play the game
A. Identify the slope of the linear regression model. If this is difficult, see Figure 3.
0.78
1.12
0.56
0.49
B. Which of the following is the proper least-squares regression line? If you are unsure, see Figure 3.
Water = 1.12 + 0.70 Corn
Water = 0.70 + 1.12 Corn
Corn = 0.78 + 0.56 Water
Corn = 0.56 + 0.78 Water
C. Using this regression line, if you increase the amount of water by 10 inches, how much will your corn yield increase?
7.8
11.2
5.6
70
D. Use the linear regression line or the graph to predict yield when water = 28.
20.72
22.4
32.06
16.46
E. Use the linear regression line or the graph to predict yield when water = 40.
31.76
23.18
17.50
29.12
F. What is R
2
, the proportion of the variation in Yield can be explained by the regression line? When we are working with simple linear regression, R
2
is the square of the correlation coefficient (r).
0.84
0.78
2.18
0.49