The decline of water supplies in certain areas of the United States has created the need for increased understanding of relationships between economic factors such as crop yield and hydrologic and sell factors. An article gives data on grain sorghum yield (y, in g/m-row) and distance upslope (x, in m) on a sloping watershed. Selected observa x 10 20 30 45 50 70 80 100 120 140 160 170 190 0 500 595 410 465 450 485 510 450 360 400 y 300 410 280 350 (a) Construct a scatter plot y 600 500 400 300. 200 100 y 600 500 400 300 200 100 50 50 OH: ₂0 H₂:8₂-0 100 100 150 150 200 O Does the simple inear regression model appear to be plausible? O Yes, it appears to be plausible. O No, it does not appear to be plausible. 200 (b) Carry out a test of model utility. State the appropriate null and alternative hypotheses. (Use a 0.05) ⒸM₂: ₂0 y 600 500 400 300 200 100 O y 600. 500 400 300 200 100 O 50 50 100 100 150 150 200 X 200
The decline of water supplies in certain areas of the United States has created the need for increased understanding of relationships between economic factors such as crop yield and hydrologic and sell factors. An article gives data on grain sorghum yield (y, in g/m-row) and distance upslope (x, in m) on a sloping watershed. Selected observa x 10 20 30 45 50 70 80 100 120 140 160 170 190 0 500 595 410 465 450 485 510 450 360 400 y 300 410 280 350 (a) Construct a scatter plot y 600 500 400 300. 200 100 y 600 500 400 300 200 100 50 50 OH: ₂0 H₂:8₂-0 100 100 150 150 200 O Does the simple inear regression model appear to be plausible? O Yes, it appears to be plausible. O No, it does not appear to be plausible. 200 (b) Carry out a test of model utility. State the appropriate null and alternative hypotheses. (Use a 0.05) ⒸM₂: ₂0 y 600 500 400 300 200 100 O y 600. 500 400 300 200 100 O 50 50 100 100 150 150 200 X 200
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The decline of water supplies in certain areas of the United States has created the need for increased understanding of relationships between economic factors such as crop yield and hydrologic and soil factors. An article gives data on grain sorghum yield (y, in g/m-row) and distance upslope (x, in m) on a sloping watershed. Selected observations are given in the accompanying table.
x 0 10
0 10 20
20 30 45 50 70 80 100 120 140 160 170 190
y 500 595 410 455 450 485 510 450 360 400 300 410 280 350
(a) Construct a scatter plot.
y
600
500
400
300.
200
100
y
600
500
400
300
200
100
OH₂:₂0
.
ⒸH₂: P₂ =O
50
OH : P₂ =O
50
100
100
150
150
Does the simple linear regression model appear to be plausible?
O Yes, it appears to be plausible.
O No, it does not appear to be plausible.
x
200
(b) Carry out a test of model utility.
State the appropriate null and alternative hypotheses. (Use a = 0.05)
ⒸH₂₂-0
200
y
600
500
400
300
State the conclusion in the problem context.
O Fail to reject Ho. The model does not specify a useful relationship
O Reject H. The model specifies a useful relationship.
O Reject H. The model does not specify a useful relationship.
O Fail to reject H. The model specifies a useful relationship.
200
100
600.
500
400
300
200
100
O
50
50
You may need to use the appropriate table in the Appendix of Tables to answer this question.
100
100
150
150
X
200
X
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t=
P-value=
200
(c) Estimate true average yield when distance upslope is 75 by giving a 95% confidence interval. (Round your answers to one decimal place.)
g/m-row
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