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Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:
Two autos start from the same stand. Auto A travels 2 km east, then turns to its right and travels further 3 km. Meanwhile auto B travels 5 km north, and then turns West and travels 3 km, then it turns to its left and travels 8 km. Where is auto B with respect to auto A?
Consider the following given statements about auto-transformers and choose the one which is/are correct. 1. Auto-transformers require less copper as compared to a conventional,2 winding transformer of the same capacity. 2. Auto-transformers provide isolation between the primary and secondary windings. 3. Auto- transformer has less leakage reactance as compared to the conventional, 2 winding transformer of the same capacity.
Two autos start from the same stand. Auto A travels 2 km East, then turns to its right and travels a further 3 km. Meanwhile auto B travels 5 km North, then turns West and travels 3 km, then it turns to its left and travels 8 km. Where is auto B with respect to auto A?
Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.
Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?
While traveling by bus, a man spent Rs. 60 more than 10 times the fare he paid for an auto rickshaw. The total amount spent by him is 13 times the fare he paid for an auto rickshaw. What total amount of money was spent on Bus as well as Auto rickshaw by the man?
An auto driver charges fixed fair for first 20 km. After 20 km he charges per km. If the driver charges 30 km for Rs. 400 and charge 40 km for Rs. 600. What is the fair of auto if the auto covers 74 km distance?
Suresh went to Mathura which is 190 km far by certain modes of communication. He covers 77 km by bus, some distance by train and remaining by auto. Average speed of bus is 38.5 km / h, while that of train is 65 km / h and of the auto is 45 km / h. He covered total distance in 4 h. Find the distance covered by him in the auto?
In the question, one statement is given followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the conclusion, if any, follow from the given statements. Statement: “Auto-rickshaw fares in Delhi will soon be hiked by over 18%”. Conclusions: I. Auto rickshaw rides will now become more expensive for people. II. People will now use auto-rickshaws only for short distances.