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Correlation Test - 16

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Correlation Test - 16
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  • Question 1
    1 / -0
    When the number of items is small, the correlation co-efficient can be found out by _________.
    Solution
    The product moment correlation coefficient is a measure of the strength of linear relationship between two variables. It is referred to as Pearson's correlation or simply as the correlation coefficient.
  • Question 2
    1 / -0
    Karl Pearson's method helps to__________.
    Solution
    Karl pearson's coefficient of correlation helps in measuring the degree of relationship between two variable i.e. how strongly they are connected and it also calculate the unknown value from the known values.
  • Question 3
    1 / -0
    Rank correlation depends on________________.
    Solution
    Rank correlation is the measure of association or strength between the ranked variables. For example: the rank of this  numerical data 65, 25, 75, 69 would be 3, 4, 1, 2 respectively.
  • Question 4
    1 / -0
    Rank correlation co-efficient was developed by___________.
    Solution
    Rank correlation coefficient is developed by Charles Spearman, a renowned statistician that measures the strength between the ranked variables.
  • Question 5
    1 / -0
    Correlation measures____________.
    Solution
    Correlation is the statistical measure that indicates the degree tow which two or more variables fluctuate or how strongly they are connected to each other. Value of coefficient ranges between -1 to +1.
  • Question 6
    1 / -0
    Francis Galton used the regression analysis to study the relationship between the heights of about _________.
    Solution
    Francis Galton used the regression analysis to show that the heights of descendants of tall ancestors tend to regress down towards a normal average and for this, he took 1000 fathers and sons in consideration.
  • Question 7
    1 / -0
    The angle between the two lines will be wider when the correlation between two variable is___________.
    Solution
    The larger the angle between the two regression lines, less the degree of correlation between the two variables and similarly, the small the angle between two lines, the larger would be the degree of correlation between them.
  • Question 8
    1 / -0
    Correlation is______________.
    Solution
    Correlation is independent of change in both of scale and origin. Correlation simply measures the strength of association between two or more variables i.e. how strongly they are connected.
  • Question 9
    1 / -0
    The original formula that Pearson developed is commonly known as___________.
  • Question 10
    1 / -0
    The coefficient of correlation when coefficients of regression are 0.20.2 and 1.81.8 is
    Solution

    Givenbxy=0.2byx=0.8r=bxy×byxr=0.36r=0.6Given\quad { b }_{ xy }=0.2\\ { b }_{ yx }=0.8\\ r=\sqrt { { b }_{ xy }\times { b }_{ yx } } \\ r=\sqrt { 0.36 } \\ r=0.6

    Where r is coefficient of correlation.

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