Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Intercept 1.4358731 0.084055 17.08 <.0001* Prey Length -0.051456 0.014709 Prey Speed 0.0040046 0.000628 -3.50 0.0030* 6.38 <.0001*

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A group of Ecologist are examining the effect speed of prey (twips per second) and length of prey (twips X 100) have on the time (in seconds) required to catch the prey.

a.) What is the least squares regression line?

b.) Predict the catch time for an animal of prey whose length is 6 and whose speed is 50.

### Analysis of Variance

The table presents the results of an Analysis of Variance (ANOVA):

- **Source:**
  - **Model:**
    - Degrees of Freedom (DF): 2
    - Sum of Squares: 0.41321380
    - Mean Square: 0.206607
    - F Ratio: 23.3512
  - **Error:**
    - Degrees of Freedom (DF): 16
    - Sum of Squares: 0.14156515
    - Mean Square: 0.008848
  - **C. Total:**
    - Degrees of Freedom (DF): 18
    - Sum of Squares: 0.55477895

- **Prob > F:** <0.0001, indicating high statistical significance of the model.

### Parameter Estimates

This section provides details on the parameter estimates of the model:

- **Intercept:**
  - Estimate: 1.4358731
  - Standard Error: 0.084055
  - t Ratio: 17.08
  - Prob>|t|: <0.0001, indicating a highly significant result.

- **Prey Length:**
  - Estimate: -0.051456
  - Standard Error: 0.014709
  - t Ratio: -3.50
  - Prob>|t|: 0.0030, indicating statistical significance.

- **Prey Speed:**
  - Estimate: 0.0040046
  - Standard Error: 0.000628
  - t Ratio: 6.38
  - Prob>|t|: <0.0001, indicating a highly significant result.

Overall, the ANOVA and parameter estimates tables show that the model is statistically significant, with the factors "Prey Length" and "Prey Speed" contributing significantly to the model.
Transcribed Image Text:### Analysis of Variance The table presents the results of an Analysis of Variance (ANOVA): - **Source:** - **Model:** - Degrees of Freedom (DF): 2 - Sum of Squares: 0.41321380 - Mean Square: 0.206607 - F Ratio: 23.3512 - **Error:** - Degrees of Freedom (DF): 16 - Sum of Squares: 0.14156515 - Mean Square: 0.008848 - **C. Total:** - Degrees of Freedom (DF): 18 - Sum of Squares: 0.55477895 - **Prob > F:** <0.0001, indicating high statistical significance of the model. ### Parameter Estimates This section provides details on the parameter estimates of the model: - **Intercept:** - Estimate: 1.4358731 - Standard Error: 0.084055 - t Ratio: 17.08 - Prob>|t|: <0.0001, indicating a highly significant result. - **Prey Length:** - Estimate: -0.051456 - Standard Error: 0.014709 - t Ratio: -3.50 - Prob>|t|: 0.0030, indicating statistical significance. - **Prey Speed:** - Estimate: 0.0040046 - Standard Error: 0.000628 - t Ratio: 6.38 - Prob>|t|: <0.0001, indicating a highly significant result. Overall, the ANOVA and parameter estimates tables show that the model is statistically significant, with the factors "Prey Length" and "Prey Speed" contributing significantly to the model.
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