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.) Calculate and interpret the coefficient of determination.b.) Construct and interpret a 95% confidence interval for the standard deviation of the catch time of prey for any fixed length and speed. **Analysis of Variance**The table summarizes the analysis of variance for a model evaluating the influence of certain factors.- **Source:** - **Model:** - Degrees of Freedom (DF): 2 - Sum of Squares: 0.41321380 - Mean Square: 0.206607 - F Ratio: 23.3512 - Probability > F: <.0001* - **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**Key Insight:** The probability > F for the model is less than 0.0001, suggesting that the model is highly statistically significant.**Parameter Estimates**This table displays the estimated coefficients for the parameters in the model, with respective standard errors, t ratios, and probabilities.- **Term:** - **Intercept:** - Estimate: 1.4358731 - Standard Error: 0.084055 - t Ratio: 17.08 - Prob > |t|: <.0001* - **Prey Length:** - Estimate: -0.051456 - Standard Error: 0.014709 - t Ratio: -3.50 - Prob > |t|: 0.0030* - **Prey Speed:** - Estimate: 0.0040046 - Standard Error: 0.000628 - t Ratio: 6.38 - Prob > |t|: <.0001***Key Insight:** Both "Prey Length" and "Prey Speed" are shown to be statistically significant, with their probabilities being less than 0.05, indicating their influence in the model.

Name: A group of Ecologist are examining the effect speed of prey (twips per
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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.) Calculate and interpret the coefficient of determination.b.) Construct and in