MCQs 3 on "REGRESSION AND CORRELATION"

These are MCQs 3 on "REGRESSION AND CORRELATION" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. In the regression equation Y = a+bX, the Y is called:

• Independent variable
• Dependent variable
• Continuous variable
• None of the above

2. In the regression equation X = a + bY, the X is called:

• Independent variable
• Dependent variable
• Qualitative variable
• None of the above

3. In the regression equation Y = a +bX, a is called:

• X-intercept
• Y-intercept
• Dependent variable
• None of the above

4. The regression equation always passes through:

• (X, Y)
• (a, b)
• X ,Y
• X , Y

5. The independent variable in a regression line is:

• Non-random variable
• Random variable
• Qualitative variable
• None of the above

6. The graph showing the paired points of (Xi, Yi) is called:

• Scatter diagram
• Histogram
• Historigram
• Pie diagram

7. When regression line passes through the origin, then:

• Intercept is zero
• Regression coefficient is zero
• Correlation is zero
• Association is zero

8. When bXY is positive, then byx will be:

• Negative
• Positive
• Zero
• One

9. The correlation coefficient is the_______of two regression coefficients:

• Geometric mean
• Arithmetic mean
• Harmonic mean
• Median

10. When two regression coefficients bear same algebraic signs, then correlation coefficient is:

• Positive
• Negative
• According to two signs
• Zero

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MCQs 2 on "REGRESSION AND CORRELATION"

These are MCQs 2 on "REGRESSION AND CORRELATION" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. The straight line graph of the linear equation Y = a+ bX, slope will be upward if:

• b = 0
• b < 0
• b > 0
• b ≠ 0

2. The straight line graph of the linear equation Y = a + bX, slope will be downward If:

• b > 0
• b < 0
• b = 0
• b ≠ 0

3. The straight line graph of the linear equation Y = a + bX, slope is horizontal if:

• b = 0
• b ≠ 0
• b = 1
• a = b

4. If regression line of = 5, then value of regression coefficient of Y on X is:

• 0
• 0.5
• 1
• 5

5. If Y = 2 - 0.2X, then the value of Y intercept is equal to:

• -0.2
• 2
• 0.2X
• All of the above

6. If one regression coefficient is greater than one, then other will he:

• More than one
• Equal to one
• Less than one
• Equal to minus one

7. To determine the height of a person when his weight is given is:

• Correlation problem
• Association problem
• Regression problem
• Qualitative problem

8. The dependent variable is also called:

• Regression
• Regressand
• Continuous variable
• Independent

9. The dependent variable is also called:

• Regressand variable
• Predictand variable
• Explained variable
• All of these

10. The independent variable is also called:

• Regressor
• Regressand
• Predictand
• Estimated

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MCQs 1 on "REGRESSION AND CORRELATION"

These are MCQs 1 on "REGRESSION AND CORRELATION" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called:

• Correlation
• Regression
• Residual
• Slope

2. The method of least squares dictates that we choose a regression line where the sum of the square of deviations of the points from the lie is:

• Maximum
• Minimum
• Zero
• Positive

3. A relationship where the flow of the data points is best represented by a curve is called:

• Linear relationship
• Nonlinear relationship
• Linear positive
• Linear negative

4. All data points falling along a straight line is called:

• Linear relationship
• Non linear relationship
• Residual
• Scatter diagram

5. The value we would predict for the dependent variable when the independent variables are all equal to zero is called:

• Slope
• Sum of residual
• Intercept
• Difficult to tell

6. The predicted rate of response of the dependent variable to changes in the independent variable is called:

• Slope
• Intercept
• Error
• Regression equation

7. The slope of the regression line of Y on X is also called the:

• Correlation coefficient of X on Y
• Correlation coefficient of Y on X
• Regression coefficient of X on Y
• Regression coefficient of Y on X

8. In simple linear regression, the numbers of unknown constants are:

• One
• Two
• Three
• Four

9. In simple regression equation, the numbers of variables involved are:

• 0
• 1
• 2
• 3

10. If the value of any regression coefficient is zero, then two variables are:

• Qualitative
• Correlation
• Dependent
• Independent

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MCQs 3 on "Hypothesis Testing" Statistics

These are MCQs 3 on "Hypothesis Testing" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. The range of test statistic-t is:

• 0 to ∞
• 0 to 1
• -∞ to +∞
• -1 to +1

2. If H_o is true and we reject it is called:

• Type-I error
• Type-II error
• Standard error
• Sampling error

3. The probability associated with committing type-I error is:

• β
• α
• 1 – β
• 1 – α

4. A failing student is passed by an examiner, it is an example of:

• Type-I error
• Type-II error
• Unbiased decision
• Difficult to tell

5. A passing student is failed by an examiner, it is an example of:

• Type-I error
• Type-II error
• Best decision
• All of the above

6. 1 – α is also called:

• Confidence coefficient
• Power of the test
• Size of the test
• Level of significance

7. 1 – α is the probability associated with:

• Type-I error
• Type-II error
• Level of confidence
• Level of significance

8. Area of the rejection region depends on:

• Size of α
• Size of β
• Test-statistic
• Number of values

9. Size of critical region is known as:

• β
• 1 - β
• Critical value
• Size of the test

10. A null hypothesis is rejected if the value of a test statistic lies in the:

• Rejection region
• Acceptance region
• Both (a) and (b)
• Neither (a) nor (b)

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MCQs 2 on "Hypothesis Testing" Statistics

These are MCQs 2 on "Hypothesis Testing" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. A hypothesis may be classified as:

• Simple
• Composite
• Null
• All of the above

2. The probability of rejecting the null hypothesis when it is true is called:

• Level of confidence
• Level of significance
• Power of the test
• Difficult to tell

3. The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected is said to be:

• Critical region
• Critical value
• Acceptance region
• Significant region

4. If the critical region is located equally in both sides of the sampling distribution of test-statistic, the test is called:

• One tailed
• Two tailed
• Right tailed
• Left tailed

5. The choice of one-tailed test and two-tailed test depends upon:

• Null hypothesis
• Alternative hypothesis
• None of these
• Composite hypotheses

6. Test of hypothesis Ho: μ = 50 against H1: μ > 50 leads to:

• Left-tailed test
• Right-tailed test
• Two-tailed test
• Difficult to tell

7. Test of hypothesis Ho: μ = 20 against H1: μ < 20 leads to:

• Right one-sided test
• Left one-sided test
• Two-sided test
• All of the above

8. Testing Ho: μ = 25 against H1: μ ≠ 20 leads to:

• Two-tailed test
• Left-tailed test
• Right-tailed test
• Neither (a), (b) and (c)

9. A rule or formula that provides a basis for testing a null hypothesis is called:

• Test-statistic
• Population statistic
• Both of these
• None of the above

10. The range of test statistic-Z is:

• 0 to 1
• -1 to +1
• 0 to ∞
• -∞ to +∞

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MCQs 1 on "Hypothesis Testing" Statistics

These are MCQs 1 on "Hypothesis Testing" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. A statement about a population developed for the purpose of testing is called:

• Hypothesis
• Hypothesis testing
• Level of significance
• Test-statistic

2. Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called:

• Null hypothesis
• Alternative hypothesis
• Statistical hypothesis
• Composite hypothesis

3. A statement about the value of a population parameter is called:

• Null hypothesis
• Alternative hypothesis
• Simple hypothesis
• Composite hypothesis

4. Any statement whose validity is tested on the basis of a sample is called:

• Null hypothesis
• Alternative hypothesis
• Statistical hypothesis
• Simple hypothesis

5. A quantitative statement about a population is called:

• Research hypothesis
• Composite hypothesis
• Simple hypothesis
• Statistical hypothesis

6. A statement that is accepted if the sample data provide sufficient evidence that the null hypothesis is false is called:

• Simple hypothesis
• Composite hypothesis
• Statistical hypothesis
• Alternative hypothesis

7. The alternative hypothesis is also called:

• Null hypothesis
• Statistical hypothesis
• Research hypothesis
• Simple hypothesis

8. A hypothesis that specifies all the values of parameter is called:

• Simple hypothesis
• Composite hypothesis
• Statistical hypothesis
• None of the above

9. The hypothesis μ ≤ 10 is a:

• Simple hypothesis
• Composite hypothesis
• Alternative hypothesis
• Difficult to tell.

10. If a hypothesis specifies the population distribution is called:

• Simple hypothesis
• Composite hypothesis
• Alternative hypothesis
• None of the above

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MCQs 3 on "Sample and Sampling Distribution" Statistics

These are MCQs 3 on "Sample and Sampling Distribution" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. Standard deviation of sample mean without replacement__________ standard deviation of sample mean with replacement:

• Less than
• More than
• 2 times
• Equal to

2. In sampling without replacement, an element can be chosen:

• Less than once
• More than once
• Only once
• Difficult to tell

3. In sampling with replacement, the following is always true:

• n = N
• n < N
• n > N
• All of the above

4. Which of the following statement is true?

• Standard error is always one
• Standard error is always zero
• Standard error is always negative
• Standard error is always positive

5. Random sampling is also called:

• Probability sampling
• Non-probability sampling
• Sampling error
• Random error

6. Non-random smapling is also called:

• Biased sampling
• Non-probability sampling
• Random sampling
• Representative sample

7. Sampling error can be reducing by:

• Non-probability sampling
• Increasing the population
• Decreasing the sample size
• Increasing the sample size

8. The selection of cricket team for the world cup is called:

• Random sampling
• Systematic sampling
• Purposive sampling
• Cluster sampling

9.A complete list of all the sapling units is called:

• Sampling design
• Sampling frame
• Population frame
• Cluster

10. A Plan for obtaining a sample from a population is called:

• Population design
• Sampling design
• Sampling frame
• Sampling distribution

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MCQs 2 on "Sample and Sampling Distribution" Statistics

These are MCQs 2 on "Sample and Sampling Distribution" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc.

1. If we obtain a point estimate for a population mean μ, the difference between and μ is:

• Standard error
• Bias
• Error of estimation
• Difficult to tell

2. A distribution formed by all possible values of a statistics is called

• Binomial distribution
• Hypergeometric distribution
• Normal distribution
• Sampling distribution

3. In probability sampling, probability of selecting an item from the population is known and is:

• Equal to zero
• Non zero
• Equal to one
• All of the above

4. A population about which we want to get some information is called:

• Finite population
• Infinite population
• Sampling population
• Target population

5. The population consists of the results of repeated trials is named as:

• Finite population
• Infinite population
• Real population
• Hypothetical population

6. A population consisting of the items which are all present physically is called:

• Finite population
• Infinite population
• Real population
• Hypothetical populatio

7. Study of population is called:

• Parameter
• Statistic
• Error
• Census

8. For making voters list in Pakistan we need:

• Sampling error
• Standard error
• Census
• Simple random sampling

9.Sampling based upon equal probability is called:

• Probability sampling
• Systematic sampling
• Simple random sampling
• Stratified random sampling

10.In sampling with replacement, an element can be chosen:

• Less than once
• More than once
• Only once
• Difficult to tell

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MCQs 1 on "Sample and Sampling Distribution" Statistics

These are MCQs 1 on "Sample and Sampling Distribution" Statistics. Practice MCQs to check your knowledge for Entrance examination like CSIR NET, BINC etc

1. Sample is a sub-set of:

• Population
• Data
• Set
• Distribution

2. Any population constant is called a:

• Statistic
• Parameter
• Estimate
• Estimator

3. List of all the units of the population is called:

• Random sampling
• Bias
• Sampling frame
• Probability sampling

4. Any calculation on the sampling data is called:

• Parameter
• Static
• X
• Error

5. Any measure of the population is called:

• Finite
• Parameter
• Without replacement
• Random

6. If all the units of a population are surveyed, it is called:

• Random sample
• Random sampling
• Sampled population
• Complete enumeration

7. Probability distribution of a statistics is called:

• Sampling
• Parameter
• Data
• Sampling distribution

8. The difference between a statistic and the parameter is called:

• Probability
• Sampling error
• Random
• Non-random

9. The sum of the frequencies of the frequency distribution of a statistic is equal to:

• Sample size
• Population size
• Possible samples
• Sum of X values

10. Standard deviation of sampling distribution of a statistic is called:

• Serious error
• Dispersion
• Standard error
• Difference

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Online Statistics MCQs 2 on "Normal Distribution"

This are Online Statistics MCQs 1 on "Normal Distribution". Practice MCQs to check your knowledge of "Normal Distribution".

1. If X ~ N (μ, σ² ), the points of inflection of normal distribution are:

• ± σ
• ± μ
• σ ± μ
• μ ± σ

2. In normal probability distribution for a continuous random variable, the value of a mean deviation is approximately equal to:

• 2/3
• 2/3 σ
• 4/5
• 4/5 σ

3. In a normal distribution whose mean is land standard deviation 0, the value 4 quartile deviation is approximately:

• 4/5
• 4/5 σ
• 2/3 σ
• 2/3

4. In a normal distribution, the lower and upper quartiles are equidistant from the mean and are at a distance of:

• 0.7979
• 0.7979 σ
• 0.6745
• 0.6745 σ

5. The value of e is approximately equal to:

• 2.7183
• 2.1783
• 2.8173
• 2.1416

6. The value of π is approximately equal to:

• 3.4116
• 3.1416
• 3.1614
• 3.6416

7. If X ~ N (μ, σ² ), the standard normal variate is distributed as:

• N(1,0)
• N(0,1)
• N( μ,0)
• N( 0,σ²)

8. The coefficient of skewness of a normal distribution is:

• Positive
• Negative
• Zero
• Three

9. The total area of the normal probability density function is equal to:

• 0
• 0.5
• 1
• 0.25

10. In a standard normal distribution, the value of mode is:

• Equal to zero
• Less than zero
• Greater than zero
• Exactly one

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Online Statistics MCQs 1 on "Normal Distribution"

This are Online Statistics MCQs 1 on "Normal Distribution". Practice MCQs to check your knowledge of "Normal Distribution".

1. The range of normal distribution is:

• 0 to n
• 0 to ∞
• -1 to +1
• -∞ to +∞

2. In normal distribution:

• Mean = Median = Mode
• Mean < Median < Mode
• Mean> Median > Mode
• Mean ≠ Median ≠ Mode

3. Which of the following is true for the normal curve:

• Symmetrical
• Unimodel
• Bell-shaped
• All of the above

4. In a normal curve, the ordinate is highest at:

• Mean
• Variance
• Standard deviation
• Q1

5. The parameters of the normal distribution are:

• µ and σ²
• µ and σ
• np and nq
• n and p

6. The shape of the normal curve depends upon the value of:

• Standard deviation
• Q1
• Mean deviation
• Quartile deviation

7. The normal distribution is a proper probability distribution of a continuous random variable, the total area under the curve f(x) is:

• Equal to one
• Less than one
• More than one
• Between -1 and +1

8. In a normal probability distribution of a continuous random variable, the value of standard deviation is:

• Zero
• Less than zero
• Greater than zero
• None of the above

9. In a normal curve, the highest point on the curve occurs at the mean, µ, which is also the:

• Median and mode
• Geometric mean and harmonic mean
• Lower and upper quartiles
• Variance and standard deviation

10. The normal curve is symmetrical and for symmetrical distribution, the values of all odd order moments about mean will always be:

• 1
• 0.5
• 0.25
• 0

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Online Statistics Probability MCQs 3

These are MCQs 3 on "PROBABILITY"

1. When each outcome of a sample space is as likely to occur as any other, the outcomes are called:

• Exhaustive
• Mutually exclusive
• Equally likely
• Not mutually exclusive

2. If A is any event in S and A its complement, then P(A ) is equal to:

• 1
• 0
• 1- A
• 1 - P(A)

Online Statistics Probability MCQs 2

These are MCQs 2 on "PROBABILITY"

1. The outcome of tossing a coin is a:

• Mutually exclusive event
• Compound event
• Certain event
• Simple event

2. The result of no interest of an experiment is called:

• Constant
• Event
• Failure
• Success

Online Statistics Probability MCQs 1

These are MCQs 1 on "PROBABILITY"

1. When the possible outcomes of an experiment are equally likely to occur, this we apply:

• Relative probability
• Subjective probability
• Conditional probability
• Classical probability

2. A number between 0 and 1 that is use to measure uncertainty is called:

• Random variable
• Trial
• Simple event
• Probability