Correlation is a statistical measure used to determine the strength and direction of the mutual relationship between two quantitative variables. The regression describes how an explanatory variable is numerically related to the dependent variables.

Both of the tools are used to represent the linear relationship between the two quantitative variables. The relationship between variables can be observed either using a graphical representation between the variables or numerical computation using an appropriate computational formula.

Note that neither regression nor correlation analyses can be interpreted as establishing some cause-and-effect relationships. Both of these can be used to indicate only how or to what extent the variables under study are associated (or mutually related) with each other. The correlation coefficient measures only the degree (strength) and direction of linear association between the two variables. Any conclusions about a cause-and-effect relationship must be based on the judgment of the analyst.

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If X and Y are uncorrelated then X and Y must be independent variables.
Independent variables have zero correlation, so will result in: $Var(X-Y)=Var(X)+Var(Y)$

The variable X and Y both are random in real sense. However, regarding the theory of least square, Variable X is assumed to be fixed (known). In other words, they (X’s) are assumed to have no random error. Also note that, in observational studies X is random while in experimental studies X is fixed.

Correlation is a measure of strength between two quantitative variables. It measures the interdependence between these variables, so one cannot distinguish between the dependent and independent using only correlation coefficient.

Umair RazaQ#2 wrong

because

Regression coefficient is independent of

Both “Unit of measurement” and “Scale and origin”

Muhammad Imdad UllahThank you dear! for mentioning the error in quiz. More explanation is added to the question.

If you find any other possible error in quiz or posts of itfeature.com, do let me know.

asma aftabthese are very useful for preparation of objective paper..–thank you-

Muhammad Imdad UllahThank you, keep visiting and share the site.

Inbasat MasoodThanku Sir mujy mil gy thy answers

Inbasat Masoodsir these mcq’s are very useful but i dont find answers here , kindly tell me how to get añswer i m not getting even aftr submit

Muhammad Imdad UllahWhen you press the show answer or next button correct answer is ticked with green color tick point. When you submit the complete quiz, you will get the results of all MCQs for the quiz after few seconds. If complete results are not shown it may be possible that you have some ade blocker plugin installed on your browser. Do allow the browser for the itfeature.com site.

Jamil SheikhThank you Sir Dr. Muhammad Imdadullah.

RupaliIf x and y are uncorreleunc then vat(x-y)=? Give explanation

Muhammad Imdad UllahIf X and Y are uncorrelated then X and Y must be independent variables.

Independent variables have zero correlation, so will result in: $Var(X-Y)=Var(X)+Var(Y)$

Shamnaz NazeerIt’s usefulness for the study of Quantitative techniques

PrabinGreat Wortk

Anurag JoshiIn the linear regression equation:

Which variable is fixed and which one is random, between x & y ?

Muhammad ImdadullahThe variable X and Y both are random in real sense. However, regarding the theory of least square, Variable X is assumed to be fixed (known). In other words, they (X’s) are assumed to have no random error. Also note that, in observational studies X is random while in experimental studies X is fixed.

rukhthank you Dr Imdadullah, this is very helpful session for all.

PerezCan the correlation coefficient distinguish between the dependent and independent random variables with regards to question one?

Muhammad ImdadullahCorrelation is a measure of strength between two quantitative variables. It measures the interdependence between these variables, so one cannot distinguish between the dependent and independent using only correlation coefficient.

JasdemWhere is next page of qt mcq

Muhammad ImdadullahCould not understand what you want to say.

AnsarWhen we want to download pdf file for answers it says nothing found .

Muhammad ImdadullahLink is working for me.

Aamir KhanJAZAK ALLAH, appreciative and very helpful…. Nice work

VitthalThank You Muhammad Sir……

FouziaWant some notes on correlation and regression

Muhammad ImdadullahSee regression section on right side

xhaowhhere is the answer for the questions?

Muhammad ImdadullahThere are two ways (1) Online Statistics MCQs test will help you to get answers. (2) Download the pdf file. The last page of it contains answers.

Nimra ShaheenVery helpful thanks sir!

Sir kindly confirm these questions.

In Exercise 1:Q3 is( b) option&Q4 is (a)

Muhammad Imdad UllahThank you!

Please share the question statement and options, as all questions appear in the test as random.

tariq and rumshajazakALLAH…….. very good work

MASOOMGOOD JOB FOR INTELGENT STU.

imtiaz maliknice exercise