Q1 \

Height and weight data were collected on a sample of 19 fathers and

their adult sons. Height is given in inches and weight is given in

pounds. Data can be found in the le fatherson.csv.

(a) Calculate the mean and standard deviation for each variable.

(b) Calculate the correlation structure between and within the fa-

thers' characteristics and the sons' characteristics.

(c) State the hypotheses and test for the signicance of the canonical

correlations.

(d) Give the values of the signicant canonical correlations and the

squared canonical correlations. Interpret the squared canonical

correlations in the context of the problem.

(e) Write the equations of the signicant canonical variables. Com-

ment on their relative importance of the original variables to the

canonical variables.

(f) Comment and interpret the redundancy analysis.

Q2\

The data set student.csv contains information on six predictor mea-

sures of student success in a statistics class:

socioeconomic status (SES) (1=high, 2=middle, 3=low)

sex (0=male, 1=female)

grade point average (GPA)

Scholastic Aptitude Test (SAT)

previous statistics class (0=no, 1=yes)

pretest score

and three statistics course measures:

Exam 1 score

Exam 2 score

Exam 3 score.

(a) Calculate the mean and standard deviation for each variable.

(b) Calculate the correlation structure between and within the pre-

dictor measures of student success and the statistics course mea-

sures.

(c) State the hypotheses and test for the signicance of the canonical

correlations.

(d) Give the values of the signicant canonical correlations and the

squared canonical correlations. Interpret the squared canonical

correlations in the context of the problem.

(e) Write the equations of the signicant canonical variables. Com-

ment on their relative importance of the original variables to the

canonical variables.

(f) Comment and interpret the redundancy analysis.