SIZE	HEIGHT	SEX
6.5	66.0	F
9.0	68.0	F
8.5	64.5	F
8.5	65.0	F
10.5	70.0	M
7.0	64.0	F
9.5	70.0	F
9.0	71.0	F
13.0	72.0	M
7.5	64.0	F
10.5	74.5	M
8.5	67.0	F
12.0	71.0	M
10.5	71.0	M
13.0	77.0	M
11.5	72.0	M
8.5	59.0	F
5.0	62.0	F
10.0	72.0	M
6.5	66.0	F
7.5	64.0	F
8.5	67.0	M
10.5	73.0	M
8.5	69.0	F
10.5	72.0	M
11.0	70.0	M
9.0	69.0	M
13.0	70.0	M

Data on shoe size and height for a sample of students at Arizona State University.

Using the regression and correlation techniques that you learnt to solve the following problems.

Note: I recommend that you use statistical software or a graphing calculator to solve these problems.

a. Separate the data in the table into two tables, one for males and the other for females. Parts (b)(j) are for the male data.

b. Determine the sample regression equation with shoe size as the predictor variable for height.

c. Find and interpret the standard error of the estimate.

d. Test whether shoe size is useful for predicting height.

e. Find a point estimate for the mean height of all males who wear a size 101/2

shoe.

f. Obtain a 95% confidence interval for the mean height of all males who wear a size 101/2 shoe. Interpret your answer.

g. Determine the predicted height of a male who wears a size 101/2 shoe.

h. Find a 95% prediction interval for the height of a male who wears a size 101/2 shoe. Interpret your answer.

i. At the 5% significance level, do the data provide sufficient evidence to conclude that shoe size and height are positively linearly correlated?

j. Repeat parts (b)(i) for the unabridged data on shoe size and height for females. Do the estimation and prediction problems for a size 8 shoe.

Guidelines for the project:

All report has to be typed. You can use Excel or any other statistical software. If using , any of the above, print out the results and attach. All papers must be stapled together.