MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:en water flows across farmland, some soil is washed away, resulting in erosion. An
eriment was conducted to investigate the effect of the rate of water flow (liters per
ond) on the amount of soil (kilograms) washed away. The data are given in the following
le:
Flow rate
0.31
0.85
1.26
2.47
3.75
Eroded soil
0.82
1.95
2.18
3.01
6.07
![Let a represent the flow rate variable and y
represent the variable for soil eroded. Then
x = 1.73, ST
X
Sx
-
1.38, y = 2.81, sy = 1.99
Use this to complete the following calculation of the
correlation coefficient for these data.
r =
X1
y2-y
A [(( ) ( ) + ( ) (2-²) + ·
[(₁
n-1
Sy
Y₁-2.81
y2-2.81
5¹1 (²1-3873) (38¹) + (22-373) (²2²-331)
:-)
1.99
1.38
1.99
[(0-31-1-73) (0.82-281) + (0.85-1.73) (1.95-2.8
1.38
1.99
=
11.03+0.27 +0.11 +0.06 + - (2-²) (
Y5-1
Sy
Sx
X5
Y5
=
[1.47 +(²₁²) (²)]
ST
Sy
What is the value of r? Give your answer to two
decimal places.](https://content.bartleby.com/qna-images/question/23f14c8c-5141-4be2-aa93-07a6356450c6/74f8a8a3-f647-4151-9ff0-915cce2af885/kve4f03_processed.jpeg)
Transcribed Image Text:Let a represent the flow rate variable and y
represent the variable for soil eroded. Then
x = 1.73, ST
X
Sx
-
1.38, y = 2.81, sy = 1.99
Use this to complete the following calculation of the
correlation coefficient for these data.
r =
X1
y2-y
A [(( ) ( ) + ( ) (2-²) + ·
[(₁
n-1
Sy
Y₁-2.81
y2-2.81
5¹1 (²1-3873) (38¹) + (22-373) (²2²-331)
:-)
1.99
1.38
1.99
[(0-31-1-73) (0.82-281) + (0.85-1.73) (1.95-2.8
1.38
1.99
=
11.03+0.27 +0.11 +0.06 + - (2-²) (
Y5-1
Sy
Sx
X5
Y5
=
[1.47 +(²₁²) (²)]
ST
Sy
What is the value of r? Give your answer to two
decimal places.
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