In the formula for r, if we exchange the symbols x and y, do we get a
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Answered question
2021-12-03
The result is different because the formula is not dependent on the symbols.The result is the same because the formula is not dependent on the symbols. The result is different because the formula is dependent on the symbols.The result is the same because the formula is dependent on the symbols.
(b) If we have a set of x and y data values and we exchange corresponding x and yvalues to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer.
The result is different because the formula is not dependent on which values are the x values and which values are the y values.The result is the same because the formula is not dependent on which values are the x values and which values are the y values. The result is different because the formula is dependent on which values are the x values and which values are the y values.The result is the same because the formula is dependent on which values are the x values and which values are the y values.
Answer & Explanation
Fearen
Beginner2021-12-04Added 15 answers
The Karl Pearson’s product-moment correlation coefficient or simply, the Pearson’s correlation coefficient is a measure of the strength of a linear association between two variables and is denoted by r or
The coefficient of correlation
Here, cov(x,y) is the covariance between x and y,
Also,
Step 3 The Pearson’s product-moment correlation does not take into consideration whether a variable has been classified as a dependent or independent variable. It treats all variables equally. A change of scale and origin does not affect the value of r. Indeed, the calculations of Pearson’s correlation coefficient were designed in such that the units of measurement do not affect the calculation. This allows the correlation coefficient to be comparable and not influenced by the units of the variables used.
Step 4
(a) From the above said points, it is clear that,
Thus, the correct option is “The result is same, because the formula is not dependent on the symbols”.
Step 5
(b) Similarly, if we have a set of x and y data values and if we exchange the corresponding x and y values to get new data set, then the result is same. This is because the formula is not dependent on which values are the x values and which values are the y values.
Thus, the correct option is “The result is same, because the formula is not dependent on which values are the x values and which values are the y values”.
Step 6
Answer:
(a) The result is same, because the formula is not dependent on the symbols.
(b) The result is same, because the formula is not dependent on which values are the x values and which values are the y values.
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