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.

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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.) 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
Sum of
Source
DF
Squares Mean Square F Ratio
F Ratio
Model
2 0.41321380
0.206607 23.3512
Error
16 0.14156515
0.008848 Prob > F
C. Total
18 0.55477895
<.0001*
Parameter Estimates
Term
Estimate Std Error t Ratio Prob>It|
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*
Transcribed Image Text:Analysis of Variance Sum of Source DF Squares Mean Square F Ratio F Ratio Model 2 0.41321380 0.206607 23.3512 Error 16 0.14156515 0.008848 Prob > F C. Total 18 0.55477895 <.0001* Parameter Estimates Term Estimate Std Error t Ratio Prob>It| 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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