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11th Business Maths Unit 9 Correlation and Regression Analysis Book Back Questions Question Bank Software Sep-06 , 2019

Correlation and Regression Analysis

11th Business Maths Unit 9 Correlation and Regression Analysis Book Back Questions

Correlation and Regression Analysis Book Back Questions

11th Standard

    Reg.No. :
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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5

  1. Example for positive correlation is______.

    (a)

    Income and expenditure

    (b)

    Price and demand

    (c)

    Repayment period and EMI

    (d)

    Weight and Income

  2. If the values of two variables move in opposite direction then the correlation is said to be ______.

    (a)

    Negative

    (b)

    Positive

    (c)

    Perfect positive

    (d)

    No correlation

  3. Correlation co-efficient lies between ______.

    (a)

    0 to ∞

    (b)

    -1 to +1

    (c)

    -1 to 0

    (d)

    -1 to ∞

  4. The variable whose value is influenced (or) is to be predicted is called ________.

    (a)

    dependent variable

    (b)

    independent variable

    (c)

    regressor

    (d)

    explanatory variable

  5. The variable which influences the values or is used for prediction is called________.

    (a)

    Dependent variable

    (b)

    Independent variable

    (c)

    Explained variable

    (d)

    Regressed

    6. 3 x 2 = 6

  6. Calculate the correlation coefficient from the following data
    N = 9, ΣX = 45, ΣY = 108, ΣX2 = 285, ΣY2 = 1356, ΣXY = 597

  7. From the following data calculate the correlation coefficient Σxy = 120, Σx2 = 90, Σy2 = 640

  8. The following information is given

    Details X(in Rs.) Y(in Rs.)
    Arithmetic Mean 6 8
    Standard Deviation 5 \(\frac{40}{3}\)

    Coefficient of correlation between X and Y is \(\frac{8}{15}\) . Find (i) The regression Coefficient of Y on X (ii) The most likely value of Y when X = Rs.100.

    9. 3 x 3 = 9

  9. An examination of 11 applicants for a accountant post was taken by a finance company. The marks obtained by the applicants in the reasoning and aptitude tests are given below.

    Applicant A B C D E F G H I J K
    Reasoning test 20 50 28 25 70 90 76 45 30 19 26
    Aptitude test 30 60 50 40 85 90 56 82 42 31 49

    Calculate Spearman’s rank correlation coefficient from the data given above.

  10. The following table shows the sales and advertisement expenditure of a form

    Title Sales Advertisement expenditure(Rs.Cross)
    Mean 40 6
    SD 10 1.5

    Coefficient of correlation r = 0.9. Estimate the likely sales for a proposed advertisement expenditure of Rs. 10 crores.

  11. Calculate the coefficient of correlation from the following data:
    ΣX = 50, ΣY = –30, ΣX2 = 290, ΣY2 = 300, ΣXY = –115, N = 10

    12. 2 x 5 = 10

  12. Find coefficient of correlation for the following:

    Cost(Rs) 14 19 24 21 26 22 15 20 19
    Sales(Rs) 31 36 48 37 50 45 33 41 39

  13. In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2X–Y+1 = 0 and 3X – 2Y + 7 = 0. Find the means of X and Y. Also work out the values of the regression coefficient and correlation between the two variables X and Y.

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