1. Twelve 20-year-old men were randomly chosen from a university, and their height (cm) and length of...
Question:
1. Twelve 20-year-old men were randomly chosen from a university, and their height
(cm) and length of forearm (cm) were measured and recorded. The data are given in Table 14.3.
Please answer the following questions:
(a) Inspect the relationship between height and forearm length by drawing a scatterplot.
Make a preliminary visual judgment of whether a linear or nonlinear relationship exists between them.
(b) Test whether there is a relationship between height and length of forearm?
Provide H0 and H1 .
(c) What are the assumptions for conducting such procedures? Check whether such assumptions hold.
(d) Calculate the correlation coefficient between height and length of forearm, conduct the test procedure, and interpret the result.
(e) Provide a 95% CI for ρ.
(f) Is it appropriate to build a regression equation on this sample?
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