An Example of Using Linear Regression of Seasonal Weather Patterns to Enhance Undergraduate Learning

Figures & data

Figure 1 Daily Maximum Temperatures

Figure 2 Daily Maximum Temperatures with Confidence Limits

Figure 3 Maximum Temperature Models

Figure 4 Tmax Beta Model with Confidence Limits

Figure 5 Tmin Daily Temperatures with Confidence Limits

Figure 6 Minimum Temperature Models

Figure 7 Models of Standard Deviation of Daily Maximum Temperatures

Figure 8 Models of Standard Deviation Minimum Temperature Models

Table I Maximum Temperature

Model	R-Square	Root Mean Square
Quadratic	0.88407	4.820916
Cubic	0.957602	2.919457
Quartic	0.982139	1.897503
Quintic	0.998252	0.594392
Sextic	0.998342	0.579669

Table II Minimum Temperature

Model	R-Square	Root Mean Square
Quadratic	0.868455	3.223
Cubic	0.926276	2.4162
Quartic	0.975827	1.3855
Quintic	0.993394	0.7253
Sextic	0.996717	0.512

Table III Standard Deviations of Maximum Temperatures

Model	R-Square	Root Mean Square
Sextic	0.690793	0.549455
Septic	0.864458	0.364293
Octic	0.885433	0.33539

Table IV Standard Deviations of Minimum Temperatures

Model	R-Square	Root Mean Square
Quadratic	0.869937	0.311158
Cubic	0.931936	0.225404
Quartic	0.932711	0.224427
Quintic	0.952684	0.188456
Sextic	0.977235	0.130901