Which of the following are the appropriate null and alternative hypotheses?

MATLAB: An Introduction with Applications
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Rainfall and corn crop yield reported for the 38 years from 1890 through 1927 give us the
scatterplot shown below with an r = 0.0426. Yield is the number of ears of corn measured in
metric tons per hectare, rainfall is in inches.
B. O
45
C. O
40
D. O
35
€30
25
20
15
S
7
9
11
Crop Yield
Rain
Based on corn crop yield from Ezekiel, M. and K. A. Fox. (1959). Methods of Correlation and Regression Analysis.
Wiley: New York.
H: Crop yield is related to rainfall.
H: Crop yield is not related to rainfall.
13
The plot shows a positive linear relationship between the inches of rainfall and the size of the corn yield.
Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this
observed linear relationship between crop yield and rainfall.
Which of the following are the appropriate null and alternative hypotheses?
A. O
H: Crop yield is not related to rainfall.
H: Crop yield is related to rainfall.
15
H: Crop yield is not linearly related to rainfall.
H: Crop yield is linearly related to rainfall.
17
H: Crop yield is linearly related to rainfall.
H: Crop yield is not linearly related to rainfall.
19
Transcribed Image Text:Rainfall and corn crop yield reported for the 38 years from 1890 through 1927 give us the scatterplot shown below with an r = 0.0426. Yield is the number of ears of corn measured in metric tons per hectare, rainfall is in inches. B. O 45 C. O 40 D. O 35 €30 25 20 15 S 7 9 11 Crop Yield Rain Based on corn crop yield from Ezekiel, M. and K. A. Fox. (1959). Methods of Correlation and Regression Analysis. Wiley: New York. H: Crop yield is related to rainfall. H: Crop yield is not related to rainfall. 13 The plot shows a positive linear relationship between the inches of rainfall and the size of the corn yield. Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this observed linear relationship between crop yield and rainfall. Which of the following are the appropriate null and alternative hypotheses? A. O H: Crop yield is not related to rainfall. H: Crop yield is related to rainfall. 15 H: Crop yield is not linearly related to rainfall. H: Crop yield is linearly related to rainfall. 17 H: Crop yield is linearly related to rainfall. H: Crop yield is not linearly related to rainfall. 19
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