ASSESSMENT 4
Closing date: Monday, 27 May 2024 @ 20:00
Total: 70
Study material: All lessons
Use computational formulas where applicable and round off the final answer to two
decimals. (Values read from tables must be given unaltered).
QUESTION 1
(a) What is research, and why is it important?
Research is a systematic process of inquiry that involves gathering, analyzing, and
interpreting information to understand a particular topic or solve a problem. Research
plays a vital role in driving intellectual, societal, and economic progress by fostering
curiosity, innovation, and evidence-based decision making.The knowledge of research
will help to answer questions within a specific field of study or the working environment.
(b) How does research differ from common misconceptions?
Research is often regarded as an activity that is somehow exclusive and removed from
everyday life, when it is in fact, simply a process for answering questions. Research helps
us to gather information in such a way that we can discover the truth or even new
knowledge.
(c) How does research apply to Industrial Psychology? Provide an example.
Research is commonly seen as a specialized activity separate from our daily lives, but
it's essentially just a method for finding answers to questions. It assists us in collecting
information systematically, enabling us to uncover truths or even generate fresh
knowledge.
(d) How does translating data into numbers benefit decision-making processes?
When data is converted into numerical form, it's a way of quantifying the information.
This practice is beneficial because numbers are ubiquitous in our daily experiences. This
approach facilitates efficient communication of information and enables the modeling of
real-world phenomena.
,(e) Indicate whether the following statement is true or false. Also provide an
explanation. “The standard deviation is the square root of the variance and is
denoted by the symbol
σ.
True- the standard deviation is the square root of the variance and is denoted by the
symbol σ. Standard deviation is the measure of variability most often used in practice.
(P.G. 55 Study Guide)
, QUESTION 2
a) Complete the summation Table 1, indicating all the values required for correlation
and regression.
Summation table:
Students Exercise Academic X2 Y2 XY
frequency performance
(X) (Y)
A 5 5 25 100 25
B 4 10 16 25 40
C 3 6 9 36 18
D 3 5 9 25 15
E 5 10 25 100 50
N=5 𝚺𝐗 = 20 𝚺𝐘= 36 𝚺𝐗2 = 84 𝚺𝐘2 = 286 𝚺𝐗𝐘 = 148
̅̅̅̅ = 4
𝐗
̅𝐘̅̅̅ = 7,2
𝚺𝐗 𝚺𝐘 = 720
(𝚺𝐗)2 = 400
(𝚺𝐘)2 = 1296
b) Compute the correlation coefficient and subsequently offer an analysis thereof.
𝑁Σ𝑋𝑌 − Σ𝑋Σ𝑌
𝑟=
√[𝑁Σ𝑋 2 − (Σ𝑋)2 ][𝑁Σ𝑌 2 − (Σ𝑌)2 ]
(5)(148) − (20)(36)
𝑟=
√[(5)(84) − (20)2 ][(5)(286) − (36)2 ]
740 − 720
𝑟=
√[420 − 400][1430 − 1296]
Closing date: Monday, 27 May 2024 @ 20:00
Total: 70
Study material: All lessons
Use computational formulas where applicable and round off the final answer to two
decimals. (Values read from tables must be given unaltered).
QUESTION 1
(a) What is research, and why is it important?
Research is a systematic process of inquiry that involves gathering, analyzing, and
interpreting information to understand a particular topic or solve a problem. Research
plays a vital role in driving intellectual, societal, and economic progress by fostering
curiosity, innovation, and evidence-based decision making.The knowledge of research
will help to answer questions within a specific field of study or the working environment.
(b) How does research differ from common misconceptions?
Research is often regarded as an activity that is somehow exclusive and removed from
everyday life, when it is in fact, simply a process for answering questions. Research helps
us to gather information in such a way that we can discover the truth or even new
knowledge.
(c) How does research apply to Industrial Psychology? Provide an example.
Research is commonly seen as a specialized activity separate from our daily lives, but
it's essentially just a method for finding answers to questions. It assists us in collecting
information systematically, enabling us to uncover truths or even generate fresh
knowledge.
(d) How does translating data into numbers benefit decision-making processes?
When data is converted into numerical form, it's a way of quantifying the information.
This practice is beneficial because numbers are ubiquitous in our daily experiences. This
approach facilitates efficient communication of information and enables the modeling of
real-world phenomena.
,(e) Indicate whether the following statement is true or false. Also provide an
explanation. “The standard deviation is the square root of the variance and is
denoted by the symbol
σ.
True- the standard deviation is the square root of the variance and is denoted by the
symbol σ. Standard deviation is the measure of variability most often used in practice.
(P.G. 55 Study Guide)
, QUESTION 2
a) Complete the summation Table 1, indicating all the values required for correlation
and regression.
Summation table:
Students Exercise Academic X2 Y2 XY
frequency performance
(X) (Y)
A 5 5 25 100 25
B 4 10 16 25 40
C 3 6 9 36 18
D 3 5 9 25 15
E 5 10 25 100 50
N=5 𝚺𝐗 = 20 𝚺𝐘= 36 𝚺𝐗2 = 84 𝚺𝐘2 = 286 𝚺𝐗𝐘 = 148
̅̅̅̅ = 4
𝐗
̅𝐘̅̅̅ = 7,2
𝚺𝐗 𝚺𝐘 = 720
(𝚺𝐗)2 = 400
(𝚺𝐘)2 = 1296
b) Compute the correlation coefficient and subsequently offer an analysis thereof.
𝑁Σ𝑋𝑌 − Σ𝑋Σ𝑌
𝑟=
√[𝑁Σ𝑋 2 − (Σ𝑋)2 ][𝑁Σ𝑌 2 − (Σ𝑌)2 ]
(5)(148) − (20)(36)
𝑟=
√[(5)(84) − (20)2 ][(5)(286) − (36)2 ]
740 − 720
𝑟=
√[420 − 400][1430 − 1296]
