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Punjab (PTB) · Chapter test · Free

2nd Year Statistics Chapter 5 TestSimple Linear Regression And Correlation

30 marks · 40 minutes · 21 questions. Covers: CHAP 14: Simple Linear Regression And Correlation .

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2nd Year Statistics Chapter 5 Test

2nd Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

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

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

    1. Arithmetic Mean

    2. Geometric Mean

    3. Harmonic Mean

    4. None of these

  3. 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

  4. The product of two regression coefficient will be:

    1. Positive

    2. Negative

    3. Both positive or negative

    4. Not definite

  5. The independent variable is also called the:

    1. Regression variable

    2. Predictor

    3. Response variable

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

  6. 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)

  7. If  then  is:

    1. 0.4

    2. 0.6

    3. 0.8

    4. 0.10

  8. The formula of r is given by:

  9. In regression problem, the independent and dependent variables are:

    1. Both fixed

    2. Both random

    3. Independent variable is fixed and dependent variable is random

    4. Dependent variable is fixed and independent variable is random

  10. Which of the following statements is true about the correlation coefficient r ?

    1. It is the mean of the two regression coefficients

    2. It is the G. M. of the two regressing coefficients

    3. It is the sum of the two regression coefficients

    4. It is the product of the two regression coefficients

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Explain correlation and causation.

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

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

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

  5. Define the term 'linear regression'.

  6. What is the range of coefficient of determination?

  7. What is meant by regression?

  8. Explain what is meant by regressand?

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

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

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

  3. Given the following data: n = 10, , sx = 3.5, sy = 7.2. Calculate regression lines.