Saturday, August 22, 2020

#135 Write the expression to find the correlation coefficient

Write the expression to find the correlation coefficient - Biology

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Write the expression to find correlation coefficient  for the set of five input and output readings.
 â€¦â€¦ (1)
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Write the expression to find correlation coefficient  for the set of five input and output readings.
 â€¦â€¦ (1)
Here,
 is the input readings for the set of five observations,
 is the mean of input readings,
 is the output readings for the set of five observations, and
 is the mean of output readings.

Write the expression to find mean of input readings .
 â€¦â€¦ (2)
Here,
 is the number of observations, which is 5.
Rewrite the expression in equation (2) for the set of five observations.
 â€¦â€¦ (3)
Here,
, and  are the input readings.
Substitute 0.50 for , 1.50 for , 2.00 for , 5.00 for , 10.00 for , and 5 for  in equation (3).

Write the expression to find mean of output readings .

Rewrite the expression for the set of five observations.
 â€¦â€¦ (4)
Here,
, and  are the output readings.
Substitute 0.90 for , 3.05 for , 4.00 for , 9.90 for , 20.50 for , and 5 for  in equation (4).

Make the table by finding the required values as shown in Table 1.
Picture 820

Substitute 121.795 for , 59.3 for , 250.228 for  in equation (1) to find the correlation coefficient  for the set of five input and output readings.

Thus, the correlation coefficient for the set of five input and output readings is .

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