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Punjab (PTB) · Quarter book test · Free

2nd Year Statistics 3rd Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: CHAP 14: Simple Linear Regression And Correlation , CHAP 15: Association .

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2nd Year Statistics 3rd Quarter Book Paper

2nd Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. If the two attributes A and B have perfect negative association, then the Yates coefficient of Association is equal to:

    1. +1

    2. 0.87

    3. -1

    4. -0.83

  2. The formula for the regression coefficient of y on x is:

  3. A characteristic which varies in quality from one individual to another is called:

    1. Variable

    2. Statistics

    3. Attributes

    4. Regression

  4. y is the ...... of two regression coefficients bxy and byx

    1. Arithmetic Mean

    2. Geometric Mean

    3. Harmonic Mean

    4. None of these

  5. Both the coefficient of correlation and the coefficient of association lie between:

    1. 0 and 1

    2. -1 and 0

    3. -1 and 1

    4. -2 and 2

  6. If the movements of the variables X and Y are in the opposite direction, the correlation between X and Y is said to be:

    1. Positive

    2. Negative

    3. Zero

    4. -1

  7. If any ultimate class frequency is negative, the data will be:

    1. Inconsistent

    2. Constant

    3. Correlated

    4. None of these

  8. The product of two regression coefficient will be:

    1. Positive

    2. Negative

    3. Both positive or negative

    4. Not definite

  9. A table consisting of r rows and C columns is called :

    1. Frequency table

    2. t-table

    3. F-table

    4. Contingency table

  10. The independent variable is also called the:

    1. Regression variable

    2. Predictor

    3. Response variable

    4. Both (a) and (b) but not (c)

  11. When the expected frequencies are too small, the value of chi-square will be:

    1. Overestimated

    2. Underestimated

    3. Unaffected

    4. None of these

  12. The regression coefficients b and d in the respective regression lines  and  are:

    1. Both positive

    2. Both negative

    3. One is negative and other positive

    4. Both (a) and (b) but not (c)

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

  1. Explain correlation and causation.

  2. What is rank correlation?

  3. Determine the estimated regression equation  in the following case: n = 8, .

  4. What is the criterion of independence with respect to the two attributes A and B?

  5. Given n = 100,  and . Calculate the regression lines of Y on X and of X on Y.

  6. What are the properties of rank correlation coefficients?

  7. If a = 130, b = 3.956, then estimate y for X = 12.

  8. Given (A) = 30, (B) = 60 and n = 150, find (AB).

  9. Define the term 'linear regression'.

  10. Given (A) = 340000, (B) = 6000 (AB) = 5300 and n = 7000 whether attributes A and B are positively associated?

  11. What is the range of coefficient of determination?

  12. Define Chi-square (x2) statistic.

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. From the given rankings of 10 students in Statistics and Economics

    Statistics (x) 1 2 3 4 5 6 7 8 9 10
    Economics (y) 2 4 3 1 7 5 8 10 6 9

    Compute the coefficient of rank correlation.

  2. Find correlation coefficient for the following information. , Sx = 7.73, Sy = 8.04, n = 10.

  3. 750 students appeared in an examination and 470 were successful. 465 had attended classes and 58 of them failed. Calculate the coefficient of association to discuss association between attending classes and success.

  4. For a set of 8 pairs of observations we have , Sx = Sy = 5 and , compute correlation coefficient.