• Example: Atmospheric Pressure vs. Temperature
<x-data> P<y-data> S
Temperature | Atmospheric | Perform linear regression to de- | ||
Pressure | termine the regression formula | |||
| ||||
10°C | 1003 hPa | |||
terms and correlation coefficient | ||||
15°C | 1005 hPa | |||
for the data nearby. Next, use the | ||||
20°C | 1010 hPa | |||
regression formula to estimate at- | ||||
25°C | 1011 hPa | |||
mospheric pressure at 18°C and | ||||
30°C | 1014 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.•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 yˆ (es- timated value of y) for xi = 16 and ˆx (estimated value of x) for yi = 20.