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Assignment 2 – Lecture 2-A and 2-B

1. (6 points) How large is a wolf pack? The following information is from a random sample of winter wolf packs in regions of Alaska, Minnesota, Michigan, Wisconsin, Canada, and Finland ( Source: The Wolf by L.D. Mech, University of Minnesota Press). Winter pack size:

13	10	7	5	7	7	2	4	3
2	3	15	4	4	2	8	7	8

Compute

a) The Mean

b) The Median

c) The Mode

2. (4 points) The at-rest pulse rates for 16 athletes at a track meet are

67	57	56	57	58	56		54	58
64	53	54	54	55	57		68	60

a. Find all of the quartiles

b. Find the interquartile range.

c. Display the data using a horizontal box-and-whisker plot, and label. Based on the box plot, how would you describe the shape of the distribution?

3. (10 points)In a given community, a survey was conducted to determine whether there is any relationship between the size of one’s income x (in thousands of dollars) and the size of one’s home y (in square feet). The data in the table were collected for 10 sample points.

X	41.2	68.3	22.4	56.7	42.2	86.1	50.3	35.7	44.4	47.5
Y	2.9	3.5	2.5	3.1	3.3	4	3.7	2.9	3	3.1

a. Present a scatter plot for the data using Excel.

Do hand calculations to verify the answer if produced in excel for questions b - g.

b. Determine the correlation coefficient for the data, and interpret the value.

c. Determine the coefficient of determination, and interpret the value.

d. Compute the least-squares estimate for a.

e. Compute the least-squares estimate for b.

f. State the least- squares regression line.

g. Find for x = 40.