Tell whether correlation is being used correctly. Identify any statistical errors.A high school student wonders if there is a correlation between the average life span of an animal and the number of letters in its name. She gathers the following data:
She obtains a high correlation coefficient of 0.98 and concludes that using a linear model, the number of letters in an animal's name can be used to predict its average life span.
What will be an ideal response?
Incorrect. One of the animals - the galapagos land tortoise - has an unsually long name and an unusually long life span. This one unusual point resulted in a misleading correlation coefficient. The only reason the linear model looks so good is because of the one unusual point.
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Solve.The roof of a building is in the shape of the hyperbola 
where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.A = 8 m
A. 8.2 m B. 68 m C. 276 m D. 16.6 m
Determine whether the Fourier series of the given function will include only sine terms, only cosine terms, or both sine terms and cosine terms.f(x) = 5 - x2 -9 ? x < 9
A. both sine and cosine terms B. only sine terms C. only cosine terms
Solve the problem.Find the average height of the paraboloid 
above the disk 
in the 
.
A. 12 B. 54 C. 90 D. 18
Test the series for convergence or divergence.  Figure 3.png)
a. The series is convergent. b. The series is divergent.