To recall this type of value: Perform this key operation:
yσn

A Xr 2

yσn-1

A Xr 3

Regression coefficient AA Xr r 1
Regression coefficient B

A Xr r 2

Regression calculation other than quadratic regression
Correlation coefficient r

A Xr r 3

m

A Xr r r 1
nA Xr r r 2

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:

Σx3A Ur r 1
Σx2y

A Ur r 2

Σx4

A Ur r 3

Regression coefficient C

A Xr r 3

m1

A Xr r r 1

m2

A Xr r r 2

n

A Xr r r 3

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
TemperatureAtmospheric

Pressure

 

10°C

1003 hPa

15°C

1005 hPa

20°C

1010 hPa

25°C

1011 hPa

30°C

1014 hPa

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 (r2) and

sample covariance

.

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