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