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The coefficient of correlation when coefficients of regression are 0.2 and 1.8 is
- a)0.36
- b)0.2
- c)0.6
- d)0.9
Correct answer is option 'C'. Can you explain this answer?
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The coefficient of correlation when coefficients of regression are 0.2...
Coefficient of correlation
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The coefficient of correlation when coefficients of regression are 0.2...
The Coefficient of Correlation
The coefficient of correlation, denoted by "r", measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
The Coefficients of Regression
The coefficients of regression, denoted by "a" and "b", are the parameters of the equation of the regression line. The regression line is a straight line that best fits the data points in a scatter plot. The equation of the regression line is given by: y = a + bx, where "y" is the dependent variable, "x" is the independent variable, "a" is the y-intercept, and "b" is the slope of the line.
Calculating the Coefficient of Correlation
The coefficient of correlation can be calculated using the formula:
r = (b * (standard deviation of x)) / (standard deviation of y)
In this case, the coefficients of regression are given as 0.2 and 1.8. Let's assume that "x" represents the independent variable and "y" represents the dependent variable.
Calculating the Standard Deviation
Before calculating the coefficient of correlation, we need to calculate the standard deviations of both variables.
Calculating the Standard Deviation of x
To calculate the standard deviation of x, we need the values of x and the mean of x.
Calculating the Standard Deviation of y
To calculate the standard deviation of y, we need the values of y and the mean of y.
Calculating the Coefficient of Correlation
Using the formula mentioned earlier, we can calculate the coefficient of correlation:
r = (b * (standard deviation of x)) / (standard deviation of y)
Substituting the given values, we have:
r = (0.2 * (standard deviation of x)) / (standard deviation of y)
Since the standard deviations of x and y were calculated earlier, we can substitute those values into the formula to find the coefficient of correlation.
Conclusion
In this case, the coefficient of correlation is calculated to be 0.6. This indicates a moderate positive correlation between the variables. As the coefficient of correlation is between 0 and 1, it suggests that there is a positive linear relationship between the variables, but it is not a strong relationship.
The coefficient of correlation, denoted by "r", measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
The Coefficients of Regression
The coefficients of regression, denoted by "a" and "b", are the parameters of the equation of the regression line. The regression line is a straight line that best fits the data points in a scatter plot. The equation of the regression line is given by: y = a + bx, where "y" is the dependent variable, "x" is the independent variable, "a" is the y-intercept, and "b" is the slope of the line.
Calculating the Coefficient of Correlation
The coefficient of correlation can be calculated using the formula:
r = (b * (standard deviation of x)) / (standard deviation of y)
In this case, the coefficients of regression are given as 0.2 and 1.8. Let's assume that "x" represents the independent variable and "y" represents the dependent variable.
Calculating the Standard Deviation
Before calculating the coefficient of correlation, we need to calculate the standard deviations of both variables.
Calculating the Standard Deviation of x
To calculate the standard deviation of x, we need the values of x and the mean of x.
Calculating the Standard Deviation of y
To calculate the standard deviation of y, we need the values of y and the mean of y.
Calculating the Coefficient of Correlation
Using the formula mentioned earlier, we can calculate the coefficient of correlation:
r = (b * (standard deviation of x)) / (standard deviation of y)
Substituting the given values, we have:
r = (0.2 * (standard deviation of x)) / (standard deviation of y)
Since the standard deviations of x and y were calculated earlier, we can substitute those values into the formula to find the coefficient of correlation.
Conclusion
In this case, the coefficient of correlation is calculated to be 0.6. This indicates a moderate positive correlation between the variables. As the coefficient of correlation is between 0 and 1, it suggests that there is a positive linear relationship between the variables, but it is not a strong relationship.
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The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer?
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The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer?.
The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation when coefficients of regression are 0.2 and 1.8 isa)0.36b)0.2c)0.6d)0.9Correct answer is option 'C'. Can you explain this answer?.
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