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Question
The lines of regression of X on Y estimates
Options
X for a given value of Y
Y for a given value of X
X from Y and Y from X
none of these
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Solution
X for a given value of Y
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The heights (in cm.) of a group of fathers and sons are given below:
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Find the lines of regression and estimate the height of the son when the height of the father is 164 cm.
The following data give the height in inches (X) and the weight in lb. (Y) of a random sample of 10 students from a large group of students of age 17 years:
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| Y | 112 | 123 | 130 | 115 | 110 | 125 | 100 | 113 | 116 | 125 |
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The following data pertains to the marks in subjects A and B in a certain examination. Mean marks in A = 39.5, Mean marks in B = 47.5 standard deviation of marks in A = 10.8 and Standard deviation of marks in B = 16.8. coefficient of correlation between marks in A and marks in B is 0.42. Give the estimate of marks in B for the candidate who secured 52 marks in A.
X and Y are a pair of correlated variables. Ten observations of their values (X, Y) have the following results. ∑X = 55, ∑XY = 350, ∑X2 = 385, ∑Y = 55, Predict the value of y when the value of X is 6.
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| X | 1 | 2 | 3 | 4 | 5 | 8 | 10 |
| Y | 9 | 8 | 10 | 12 | 14 | 16 | 15 |
The following information is given.
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| Arithmetic Mean | 6 | 8 |
| Standard Deviation | 5 | `40/3` |
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