As Part of a Study of the Swimming Speed of Sharks

question 27

Multiple Choice

As part of a study of the swimming speed of sharks, a random sample of 18 lemon sharks (Triakis semifasciata) were observed in a laboratory sea tunnel. Body lengths and maximum sustainable swimming speeds ("MSSS," reported in body lengths per second) were measured for each shark. The computer output from a regression with y = MSSS and x = body length is given below. ​
Linear Fit ​
Summary of Fit
RSquare 0.526395
RSquare Adj 0.496794
S 0) 272031
Mean of Response 1.24
N Observations 18
​
Analysis of Variance
Source DF Sum of Squares Mean Square F Ratio
Model 1 1.3159870 1.31599 17.7834
Error 16 1.1840130 0.07400 Prob > F
Total 17 2.5000000 0.0007*
​
Parameter Estimates
Term Estimate Std Error t Ratio Prob > |t|
Intercept 1.8928955 0.167575 11.30 < 0.0001*
Length(cm) -0.010428 0.002473 -4.22 0.0007*
​
The null hypothesis is that there is no linear relationship between body length and maximum sustainable swimming rate. At the 0.05 level of significance, should the null hypothesis be rejected? Assume all the proper conditions are met for applying a linear regression analysis.
​

• A)Yes
• B)No
• C)There is not enough information to tell.

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