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When 100 box turtles are weighed and aged, the sample covariance between age and weight is...

When 100 box turtles are weighed and aged, the sample covariance between age and weight is 7.3. The sample variance of weight is 20.3 kg2, and the sample variance of age 622.3 month2.

a. What is the estimated correlation between the age and weight of box turtles?

b. Is the correlation statistically significant?

c. What proportion of variation does the association between age and weight account for?

d. If the sample size was 1000 instead of 100, would the correlation be stastically significant?

e. If the sample mean age and weight are 43.2 years and 15.3kg respectively, regress weight against age.

Math   Statistics-And-Probability   
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