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E-29
•The values in the above tables can be used inside of expressions the
same way you use variables.
u Linear Regression
•The regression formula for linear regression is: y = A + Bx.
• Example: Atmospheric Pressure vs. Temperature
Perform linear regression to determine the
regression formula terms and correlation
coefficient for the data nearby. Next, use
the regression formula to estimate
atmospheric pressure at 18°C and
temperature at 1000 hPa. Finally, calculate
the coefficient of determination (r
2
) and
sample covariance .
•The following table shows the key operations you should use to recall
results in the case of quadratic regression.
To recall this type of value: Perform this key operation:
yσ
n
A X r 2
yσ
n
-1 A X r 3
Regression coefficient A A X r r 1
Regression coefficient B A X r r 2
Regression calculation other than quadratic regression
Correlation coefficient r A X r r 3
m
A X r r r 1
n
A
X r r r 2
To recall this type of value: Perform this key operation:
Σx
3
A U r r 1
Σx
2
y A U r r 2
Σx
4
A U r r 3
Regression coefficient C A X r r 3
m
1
A X r r r 1
m
2
A X r r r 2
n
A
X r r r 3
Temperature
Atmospheric
Pressure
10°C 1003 hPa
15°C 1005 hPa
20°C 1010 hPa
25°C 1011 hPa
30°C 1014 hPa