Test: Correlation And Regression- 6 - CA Foundation MCQ

If high values of one tend to low values of the other, they are said to be

___________ is concerned with the measurement of the “strength of association” between variables.

The two lines of regression are given by 
8x+10y=25 and 16x+5y=12 respectively
If the variance of x is 25, what is the standard deviation of y?

The regression equation of y on x for the following data:

Is given by

The two regression coefficients for the following data:

are

The coefficient of correlation between cost of advertisement and sales of a product on the basis of the following data:

is:

 _________ gives the mathematical relationship of the variables.

What is the coefficient of concurrent deviations for the following data:

 If y=3x+4 is the regression line of y on x and the arithmetic mean of x is -1, what is the arithmetic mean of y?

Given that for twenty pairs of observations, ?xu=525, ?x=129, ?u=97, ?x²=687, ?u²=427 and y=10-3u, the coefficient of correlation between x and y is 

What is the coefficient of correlation between the ages of husbands and wives from the following data?

The following results relate to bivariate date on (x, y):
Σxy=414, ∑x=120, ∑y=90, ∑x²=600, ∑y²=300, n=30. Later or, it was known that two pairs of observations (12, 11) and (6, 8) were wrongly taken, the correct pairs of observations being (10,9) and (8, 10). The corrected value of the correlation coefficient is

What is the value of Rank correlation coefficient between the following marks in physics and Chemistry:

Eight contestants in a musical contest were ranked by two judges A and B in the following manner:

The rank correlation coefficient

The following table provides the distribution of items according to size groups and also the number of defectives:

The correlation coefficient between size and defectives is

If u = 2x+5 and v=-3y-6 and regression coefficient of y on x is 2.4, what is the regression coefficient of v on u?

 What is the coefficient of correlation from the following data?

Following are the marks of 10 students in Botany and Zoology:

The coefficient of rank correlation between marks in Botany and Zoology is

 If 4y-5x=15 is the regression line of y on x and the coefficient of correlation between x and y is 0.75, what is the value of the regression coefficient of x on y?

For two variables x and y, it is known that cov (x, y)=80, variance of x is 16 and sum of squares of deviation of y from its mean is 250. The number of observations for this bivariate data is 

The coefficient of correlation between x and y where

is:

 f(x) = x²/e^x then f’(1) is equal to _________.

If f(x) = x^k and f’(1) = 10 the value of k is

If f(x) = then the values of x for which f’(x) = 0 is

If  y= then y y₁ (where y₁ = dy/dx) is equal to

If y = e^x + e^-x then  is equal to

Given f(x) = 4x³ + 3x² - 2x + 5 and  is