txtemp - Texas Weather Example Multiple Linear Regression...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Texas Weather Example Multiple Linear Regression
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Data Response (Y) – Average January High Temp Predictors: Latitude Elevation Longitude Units – n=16 County Weather Stations County Temp Lat Elev Long Harris 56 29.767 41 95.367 Dallas 48 32.85 440 96.85 Kennedy 60 26.933 25 97.8 Midland 46 31.95 2851 102.183 Deaf Smith 38 34.8 3840 102.467 Knox 46 33.45 1461 99.633 Maverick 53 28.7 815 100.483 Nolan 46 32.45 2380 100.533 El Paso 44 31.8 3918 106.4 Collington 41 34.85 2040 100.217 Pecos 47 30.867 3000 102.9 Sherman 36 36.35 3693 102.083 Travis 52 30.3 597 97.7 Zapata 60 26.9 315 99.283 Lasalle 56 28.45 459 99.217 Cameron 62 25.9 19 97.433
Background image of page 2
Estimating the Full Model Temp = β 0 + β 1 LAT + β 2 ELEV + β 3 LONG + ε Coefficients Standard Error t Stat P-value Intercept 151.2976 25.13336 6.019792 6.03E-05 Lat -1.99323 0.13639 -14.6142 5.23E-09 Elev -0.00096 0.000568 -1.68344 0.118102 Long -0.38471 0.228584 -1.68302 0.118185 LONG ELEV LAT TEMP 38471 . 0 00096 . 0 99323 . 1 30 . 151 ^ - - - =
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Testing the Full Model • H 0 : β 1 = β 2 = β 3 = 0 • H A : Not all β i = 0 • TS: F obs = MSR/MSE = 491.138 P-Value: P(F≥491.138) 0 ANOVA df SS MS F Significance F Regression 3 934.328 311.4427 491.138 8.1236E-13 Residual 12 7.609494 0.634125 Total 15 941.9375
Background image of page 4
Testing Individual Partial Coefficients • H 0 : β i = 0 H A : β i ≠ 0 TS: t obs = b i /SE(b i ) • Latitude: t obs = -14.61 P-value 0
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/04/2011 for the course STA 6166 taught by Professor Staff during the Fall '08 term at University of Florida.

Page1 / 9

txtemp - Texas Weather Example Multiple Linear Regression...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online