Example: Atmospheric Pressure vs. Temperature

Temperature

Atmospheric

Perform linear regression to de-

Pressure

termine the regression formula

 

10°C1003 hPa
terms and correlation coefficient
15°C1005 hPa

for the data nearby. Next, use the

20°C1010 hPa

regression formula to estimate at-

25°C1011 hPa
mospheric pressure at 18°C and
30°C1014 hPa
temperature at 1000 hPa.

 

 

Enter REG Mode (Linear Regression)

 

qq 2 1

 

 

A m =(Memory Clear)

 

10 P1003 S 15 P1005 S

 

20 P1010 S 25 P1011 S

 

 

30 P1014 S

30.00

 

REG

 

 

 

 

 

A q=

 

(Regression Coefficient A)

997.400

 

 

A w=

 

(Regression Coefficient B)

0.5600

 

 

 

(Correlation Coefficient r)

A J=

0.98260736800

 

 

18 A b

 

(Atmospheric Pressure at 18°C)

1007.4800

 

 

 

(Temperature at 1000 hPa)

1000 A O

4.64285714300

Quadratic Regression

The regression formula for quadratic regression is: y = A + Bx +Cx2.Input data using the following key sequence. <x-data> P<y-data> S

Example:

xi yi

291.6

5023.5

7438.0

10346.4

11848.0

Perform quadratic regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate the values for (es- timated value of y) for xi = 16 and ˆx (estimated value of x) for yi = 20.

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