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The two lines of regression are
3x - 2y - 10 = 0, 3y - 4x + 24 = 0
The correlation coefficient is⎽⎽⎽⎽⎽⎽(rounded off to two decimal places)
- a)0.90
- b)0.98
Correct answer is between '0.90,0.98'. Can you explain this answer?
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Most Upvoted Answer
The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The...
Explanation:
Calculating the correlation coefficient:
The correlation coefficient (r) is given by the formula r = ±√(r^2), where r is the slope of the regression line. In this case, the slopes of the two regression lines are 3/2 and 4/3. The product of these slopes is 1, which means the correlation coefficient is 1.
Interpreting the correlation coefficient:
A correlation coefficient of 1 indicates a perfect positive correlation between the two variables. This means that as one variable increases, the other variable also increases in a linear fashion.
Range of correlation coefficient:
The correlation coefficient can range from -1 to +1. A value of 1 indicates a perfect positive correlation, while a value of -1 indicates a perfect negative correlation. A value of 0 indicates no correlation between the two variables.
Conclusion:
Based on the correlation coefficient of 1, we can conclude that there is a perfect positive correlation between the two variables represented by the regression lines. This indicates a strong linear relationship between the variables being studied.
Calculating the correlation coefficient:
The correlation coefficient (r) is given by the formula r = ±√(r^2), where r is the slope of the regression line. In this case, the slopes of the two regression lines are 3/2 and 4/3. The product of these slopes is 1, which means the correlation coefficient is 1.
Interpreting the correlation coefficient:
A correlation coefficient of 1 indicates a perfect positive correlation between the two variables. This means that as one variable increases, the other variable also increases in a linear fashion.
Range of correlation coefficient:
The correlation coefficient can range from -1 to +1. A value of 1 indicates a perfect positive correlation, while a value of -1 indicates a perfect negative correlation. A value of 0 indicates no correlation between the two variables.
Conclusion:
Based on the correlation coefficient of 1, we can conclude that there is a perfect positive correlation between the two variables represented by the regression lines. This indicates a strong linear relationship between the variables being studied.
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Community Answer
The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The...
1) 3x - 2y - 10 = 0 ➞ x = (2/3)y + 10/3
coefficient of y (byx) = 2/3
2) 3y - 4x +24 = 0 ➞ y = (4/3)x - 8
coefficient of x (bxy) = 4/3
r = √bxy.byx = √8/3 = 0.94
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The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The correlation coefficient is⎽⎽⎽⎽⎽⎽(rounded off to two decimal places)a)0.90b)0.98Correct answer is between '0.90,0.98'. Can you explain this answer?
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The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The correlation coefficient is⎽⎽⎽⎽⎽⎽(rounded off to two decimal places)a)0.90b)0.98Correct answer is between '0.90,0.98'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The correlation coefficient is⎽⎽⎽⎽⎽⎽(rounded off to two decimal places)a)0.90b)0.98Correct answer is between '0.90,0.98'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The two lines of regression are3x - 2y - 10 = 0, 3y - 4x + 24 = 0The correlation coefficient is⎽⎽⎽⎽⎽⎽(rounded off to two decimal places)a)0.90b)0.98Correct answer is between '0.90,0.98'. Can you explain this answer?.
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