In a partially destroyed laboratory record of an analysis of correlation data, the
following results are legible:
The equations of two regression lines are as follows:
3Y 9X 46
3X 12Y 19
 
 
Obtain (i) mean values of X and Y; (ii) the values of regression coefficients; and (iii)
the value of correlation coefficient.
The regression equations are
(j) We know that the regression lines passes through the point 
The values of 
and 
can be obtained by solving the regression
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Write three advantages and three limitations of systematic sampling
In a locality, 100 persons were randomly selected and asked about how far they had studied. The results are shown in table given below
|
| Middle School | High School | College |
| Male | 10 | 15 | 25 |
| Female | 25 | 10 | 15
|
The monthly income (in Rs. Lakhs) of five employees in a company are as follows:
25, 20, 30, 15, 10. (i) List all possible samples (without replacement) of size 2 (ii)
Compute the mean of all samples and set up the sampling distribution of sample
mean.
There are 40 pages in a book numbered from 1 to 40. A page is opened at random.
Find the probability that the number of that opened page is a multiple of 3 or 5.
If the random variable X is normally distributed with mean 80 and standard deviation
5, then find (i) P[60.5 < X < 90], and (ii) P[X _ 80 < 1].
Does each of the following statements pertain to an estimate or an estimator? If the
statement pertains to an estimate is it an interval estimate or point estimate? If the
statement pertains to an estimator write the estimator.
i) The head of a publishing company says that the firm’s physics textbook will sell
about 9000 copies in 2012.
ii) A cencus prefers the median to the mean as a measure of central tendency for the
income distribution of families in a standard metropolitan city.
iii) A stock market analyst who appears on the television programme, estimates that
the price of a particular common stock will be between 50 and 60 at the end of
six months
Calculate the 5-yearly moving average for the following data of the profits of a
company (in Rs. Lakhs) during 1995 to 2010:
.
