Business

Section 03

Assignment 11

November 20, 2014

Problems 14.6, 14.14, 14.15, 14.25

14.6 

Based on this data, there lies negative relationship between the distances a student lives from campus and GPA because as the distance minimizes the average GPA tends to increase. 

14.14 

a) The lean body mass is the explanatory variable and the metabolic rate is the response variable. The scatter plot of the data for the female subjects is given above.

b) It can be seen from the scatter plot that there lies positive association between the lean body mass and metabolic rate. There lies strong, positive straight-line relationship between the two variables.

c)

It can be seen from the scatter plot for males that contrary to females, there lies positive, weak straight line between the lean body mass and metabolic rate. The results for males and females are different because the lean body mass in males are generally more than females.

14.15

If husband’s age is x and wife’s age is y, the linear relationship would be y=x+3 and the correlation would be r=1, because they all the points fall on a straight line.

Data used: x y: (42 45 27 30 52 55 61 64 34 37 48 51)

X= 45 30 55 64 37 51

Y= 42 27 52 61 34 48

14.24

a) r= 0.8, GPA of the last semester and this semester is to be similar.

b) r= 0.5, IQ is not just about reading ability, it requires ability to think, which we think to be slightly similar.

c) r= 0.2, A persons studying hours is hardly affected by his/her roommates studying hours.