Examples of Various Variables Question 1

Examples of Various Variables

Question 1

The relationship between the GPA and the school attendance (in days)of a sample of high school students was as follows

GPA

Attendance in days in a year

4.0

180

3.9

179

3.7

175

3.5

160

3.0

159

2.8

130

The variables above are strongly positively correlated because a risein the number of days leads to arise in the student’s GPA.

Question 2

The statistics showing the relationship between the weight of a carand the distance it can cover in a liter of fuel was as follows

Weight in tons

Number of kilometers on 1 liter of fuel

1

7

1.5

5

2

4

3

3

4

1

4.5

0.9

The variables are weakly negatively correlated because an increase inthe weight of the vehicle leads to a decrease in the distance that itcan cover on liter of fuel.

Question 3

In a local hospital, the number of children born within the past sixmonths was as follows

Month

Number of Births

September

75

October

90

November

26

December

56

January

30

February

45

The above set of variables is not dependent on each other because aspecific month does not determine the rate of conception. Couples donot have a preferred time of the year to conceive their offspring.

Question 4

During an IQ test, the results for various students of different ageswere as follows.

Age

IQ

6

95

7

90

12

95

13

105

14

100

15

95

The variables above are not correlated because a rise in one variable(the age of the students) does not show an increase or a decrease inthe other. However, in the general population, the IQ of anindividual is dependent on his age.