Question

4. An aboriculturist (person who studies trees) wants to know if there is a relationship between the height of an apple tree and the number of apples it produces in a season. He chooses a random sample of 15 trees from a large orchard and records the height of each tree and the number of apples produced during the most recent season. a. State the population(s) of interest. b. Identify the parameter(s) of interest. c. Is this an observational study or a controlled experiment? Explain. d. What type of analysis does this anticipate?

Answer 1

a. State the population(s) of interest.

Here population of interest is all apple tree and we need to note how many apple is in it and its height.

b. Identify the parameter(s) of interest.

Here we want to identify the correlation of height and number of apple in the tree. Precisely we need to form a linear regression for predicting y (number of apple) using x(height).

c. Is this an observational study or a controlled experiment? Explain

This is observational study since we are observing height and counting number of apple.

d. What type of analysis does this anticipate?

Here we will form a linear regression and precisely correlation of y and x.

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