Question

In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre).

Rainfall (inches) |
Yield(Bushels per acre) |

20.3 |
62.3 |

10.4 |
54.4 |

19.7 |
79.7 |

17.7 |
62.2 |

21.5 |
86.9 |

12.6 |
52 |

11.9 |
43 |

18.2 |
85.1 |

21.8 |
76.5 |

1. Create a scatterplot for the data above. The Yield is to be the response variable. Describe the form, direction and strength of the association between these two variables.

2. Calculate a LSRE that predicts yield of wheat from the amount of rainfall

3. Use your regression equation to predict the amount of wheat produced for a rainfall amount that is an example of extrapolation. Explain why you should not be confident of the result.

4. Calculate the correlation coefficient and the coefficient of determination and explain the meaning of each in the context of this situation.

5. Test to see, at the 5% level of significance, if the correlation is statistically significant

Answer #1

5.

In an area of the Great Plains, records were kept on the
relationship between the rainfall (in inches) and the yield of
wheat (bushels per acre).
Rainfall
13
11
16
15
21
13
10
18
19
Yield
55
49
60
63
85
60
36
80
83
Construct a scatter diagram for the data
Calculate the correlation coefficient
Determine the association

In an area of the Midwest, records were kept on the relationship
between the rainfall (in inches)
and the yield of wheat (bushels per acre).
Rain (inches)
10.5
8.8
13.4
12.5
18.8
10.3
7.0
15.6
16.0
Yield (bushels/acre)
50.5
46.2
58.8
59.0
82.4
49.2
31.9
76.0
78.8
Find the test value.
Group of answer choices
3.529
3.16
13.31

5. In an area of the Midwest, records were kept on the
relationship between the rainfall (in inches) and the yield of
wheat (bushels per acre).
Rain (inches) 10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0
Yield (bushels/acre) 50.5 46.2 58.8 59.0 82.4 49.2 31.9 76.0
78.8
Which is the best predicted value for y given x = 7.1? Assume
that the variables x and y have a significant correlation.
A. 35.4
B. 35.2
C. 35.7
D. 35.9

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