Business Statistics

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:

X₁² and X₂² are independently distributed with n₁ and n₂ d.f. then (X₁²/n₁)/(X₂²/n₂) is distributed as

Under binomial distribution, $$\overline X $$ can be computed by

The quality of the parameters is assured if

Standard deviation can be calculated by

The information system development cycle for a new application consists of the

Statement I When a null hypothesis is true but as per the hypothesis testing, it is rejected; it is known as Type II error in hypothesis testing.
Statement II For testing the significance of the differences among the performance of more than two sample groups when the data are non-parametric, Kruskal-Wallis (H) test is appropriate.

ERP Model is/are

Statement I The mean of the sampling distribution of mean is equal to the parameter value of the population mean.
Statement II Stratified sampling technique is unrestricted probability (random) sampling technique.

Which one of the following statement is correct?