| Chapter 8 : Correlation between the size of an island and the number of species |
| Raw data listing |
| Obs | AREA | SPECIES | LArea | LSPECIES |
|---|---|---|---|---|
| 1 | 44218 | 100 | 10.6969 | 4.60517 |
| 2 | 29371 | 108 | 10.2878 | 4.68213 |
| 3 | 4244 | 45 | 8.3533 | 3.80666 |
| 4 | 3435 | 53 | 8.1418 | 3.97029 |
| 5 | 32 | 16 | 3.4657 | 2.77259 |
| 6 | 5 | 11 | 1.6094 | 2.39790 |
| 7 | 1 | 7 | 0.0000 | 1.94591 |
| Chapter 8 : Correlation between the size of an island and the number of species |
| Scatter plot of the taw data |
Plot of SPECIES*AREA. Legend: A = 1 obs, B = 2 obs, etc.
SPECIES |
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120 +
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---+-------------+-------------+-------------+-------------+-------------+--
0 10000 20000 30000 40000 50000
AREA
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| Chapter 8 : Correlation between the size of an island and the number of species |
| Scatter plot of the log transformed data |
Plot of LSPECIES*LArea. Legend: A = 1 obs, B = 2 obs, etc.
LSPECIES |
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5.0 +
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4.5 +
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---+-------------+-------------+-------------+-------------+-------------+-------------+--
0 2 4 6 8 10 12
LArea
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| Chapter 8 : Correlation between the size of an island and the number of species |
| Regression without transformed values |
| Number of Observations Read | 7 |
|---|---|
| Number of Observations Used | 7 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 1 | 6.99619 | 6.99619 | 425.30 | <.0001 |
| Error | 5 | 0.08225 | 0.01645 | ||
| Corrected Total | 6 | 7.07844 | |||
| Root MSE | 0.12826 | R-Square | 0.9884 |
|---|---|---|---|
| Dependent Mean | 3.45438 | Adj R-Sq | 0.9861 |
| Coeff Var | 3.71289 |
| Parameter Estimates | |||||||
|---|---|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| | 95% Confidence Limits | |
| Intercept | 1 | 1.93651 | 0.08813 | 21.97 | <.0001 | 1.70996 | 2.16306 |
| LArea | 1 | 0.24968 | 0.01211 | 20.62 | <.0001 | 0.21856 | 0.28080 |
| Chapter 8 : Correlation between the size of an island and the number of species |
| Regression without transformed values |
| Listing of results from the regression output statement |
| Obs | AREA | SPECIES | LArea | LSPECIES | yhat | resid |
|---|---|---|---|---|---|---|
| 1 | 44218 | 100 | 10.6969 | 4.60517 | 4.60731 | -0.00214 |
| 2 | 29371 | 108 | 10.2878 | 4.68213 | 4.50516 | 0.17698 |
| 3 | 4244 | 45 | 8.3533 | 3.80666 | 4.02215 | -0.21549 |
| 4 | 3435 | 53 | 8.1418 | 3.97029 | 3.96935 | 0.00095 |
| 5 | 32 | 16 | 3.4657 | 2.77259 | 2.80183 | -0.02924 |
| 6 | 5 | 11 | 1.6094 | 2.39790 | 2.33835 | 0.05954 |
| 7 | 1 | 7 | 0.0000 | 1.94591 | 1.93651 | 0.00940 |