In some research studies, it involves two variables. One of these two variables is the INDEPENDENT
VARIABLE and the other one is the DEPENDENT VARIABLE.
• INDEPENDENT VARIABLE is the variable that can cause the dependent variable to change.
• DEPENDENT VARIABLE is the variable that is influenced or affected by the independent variable.
The data collected in this type of research study which involves two variables is called BIVARIATE DATA.
• SCATTER PLOTS are diagrams that are used to show the degree and pattern of relationship
between the two sets of data. They are constructed on the 𝑥𝑦 coordinate plane.
EXAMPLE 1: The table below shows the time in hours (𝑥) spent by six grade 11 student s in studying their
lessons and their score (𝑦) on a test. Construct and interpret the scatter plot.
Time Spent
(x)
1 2 3 4 5 6
Score (y) 5 15 10 15 30 35
SOLUTION:
INTERPRETATION: The scatter plot represents a positive correlation. It describes a positive trend since as
the amount spent in studying increases, their scores, also increases. There is a positive correlation
between the two variables because the two points are seemed to form or follow a straight line.
EXAMPLE 2: The table below shows the time in hours spent by six grade 11 students in playing computer
games and their score (𝑦) on a Math test. Construct and interpret the scatter plot.
Time Spent
(x)
1 2 3 4 5 6
0
5
10
15
20
25
30
35
40
0 1 2 3 4 5 6 7
TIME
Math Score
(y)
30 25 25 10 15 5
SOLUTION:
INTERPRETATION: The scatter plot represents a negative correlation. It describes a negative trend since
as the amount spent in playing computer games increases, their math score decreases. There is a strong
negative correlation between the two variables because the two points are seemed to form or follow a
straight line.
0
5
10
15
20
25
30
35
0 1 2 3 4 5 6 7
Time

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Review on module 9

  • 1. In some research studies, it involves two variables. One of these two variables is the INDEPENDENT VARIABLE and the other one is the DEPENDENT VARIABLE. • INDEPENDENT VARIABLE is the variable that can cause the dependent variable to change. • DEPENDENT VARIABLE is the variable that is influenced or affected by the independent variable. The data collected in this type of research study which involves two variables is called BIVARIATE DATA. • SCATTER PLOTS are diagrams that are used to show the degree and pattern of relationship between the two sets of data. They are constructed on the 𝑥𝑦 coordinate plane. EXAMPLE 1: The table below shows the time in hours (𝑥) spent by six grade 11 student s in studying their lessons and their score (𝑦) on a test. Construct and interpret the scatter plot. Time Spent (x) 1 2 3 4 5 6 Score (y) 5 15 10 15 30 35 SOLUTION: INTERPRETATION: The scatter plot represents a positive correlation. It describes a positive trend since as the amount spent in studying increases, their scores, also increases. There is a positive correlation between the two variables because the two points are seemed to form or follow a straight line. EXAMPLE 2: The table below shows the time in hours spent by six grade 11 students in playing computer games and their score (𝑦) on a Math test. Construct and interpret the scatter plot. Time Spent (x) 1 2 3 4 5 6 0 5 10 15 20 25 30 35 40 0 1 2 3 4 5 6 7 TIME
  • 2. Math Score (y) 30 25 25 10 15 5 SOLUTION: INTERPRETATION: The scatter plot represents a negative correlation. It describes a negative trend since as the amount spent in playing computer games increases, their math score decreases. There is a strong negative correlation between the two variables because the two points are seemed to form or follow a straight line. 0 5 10 15 20 25 30 35 0 1 2 3 4 5 6 7 Time