question 4 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?

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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 ~ distance, data = Dataset)
Residuals:
Min
1Q Median
3Q
-41.259 -5.804 1.950 6.859
Coefficients:
Max
30.703
Estimate Std. Error t value Pr (>|t|)
77.177505
7.996893
-0.009211 0.002509 -3.671 0.00152 **
Signif. codes: 0¹*** 0.001 ** 0.01 * 0.05 .0.1¹¹1
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
(Intercept)
distance
9.651 5.73e-09 ***
Transcribed Image Text:Call: 1m (formula = duration ~ distance, data = Dataset) Residuals: Min 1Q Median 3Q -41.259 -5.804 1.950 6.859 Coefficients: Max 30.703 Estimate Std. Error t value Pr (>|t|) 77.177505 7.996893 -0.009211 0.002509 -3.671 0.00152 ** Signif. codes: 0¹*** 0.001 ** 0.01 * 0.05 .0.1¹¹1 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 (Intercept) distance 9.651 5.73e-09 ***
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