What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below

  • What two null hypotheses are being tested with the output shown above?
  • What statistical conclusions would you draw about these hypotheses? 
  • Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). 

    duration =  +               * distance

 

  • What is one biological interpretation of this relationship between duration and distance ?
  • What % of the variation in duration at main feeding area was explained by distance to feeding area? 

 

 

Call:
1m (formula duration ~
Residuals:
Min
distance, data = Dataset)
10 Median
3Q
Max
-41.259 -5.804 1.950 6.859 30.703
Coefficients:
Estimate Std. Error t value Pr (>|t|)
7.996893 9.651 5.73e-09 ***
distance -0.009211 0.002509 -3.671 0.00152 **
(Intercept) 77.177505
Signif. codes: 0¹*** 0.001 ** 0.01 0.05 0.1¹ 1
Residual standard error: 15.14 on 20 degrees of freedom
Multiple R-squared: 0.4026, Adjusted R-squared: 0.3727
F-statistic: 13.48 on 1 and 20 DF, p-value: 0.001515
Transcribed Image Text:Call: 1m (formula duration ~ Residuals: Min distance, data = Dataset) 10 Median 3Q Max -41.259 -5.804 1.950 6.859 30.703 Coefficients: Estimate Std. Error t value Pr (>|t|) 7.996893 9.651 5.73e-09 *** distance -0.009211 0.002509 -3.671 0.00152 ** (Intercept) 77.177505 Signif. codes: 0¹*** 0.001 ** 0.01 0.05 0.1¹ 1 Residual standard error: 15.14 on 20 degrees of freedom Multiple R-squared: 0.4026, Adjusted R-squared: 0.3727 F-statistic: 13.48 on 1 and 20 DF, p-value: 0.001515
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