Correlation and Regression

The coefficient of rank correlation in a beauty contest of 10 candidates by two judges A & B was found to be 0.5. If it was later discovered that the difference in rank of one candidate was wrongly taken as 3 instead of 7. The corrected coefficient of rank correlation is?

The coefficient of correlation between x and y is 0.6. If u & v variables are defined as $\displaystyle 2u+x-3=0$ and $\displaystyle 3v+y-2=0$ then the coefficient of correlation between u & v is?

If the plotted points in a scatter diagram are evenly distributed, then the correlation is

Speed of an automobile and the distance required to stop the car after applying brakes correlation is

A relationship $\displaystyle r^2 = 1 - \frac{500}{300}$ is not possible

If the plotted points in a scatter diagram lie from upper left to lower right, then correlation is

If the data points of $\displaystyle (X, Y)$ series on a scatter diagram lie along a straight line that goes downwards as $\displaystyle X$- values move from left to right, then the data exhibit ---- correlation.

If the plotted point in a scatter diagram lie from lower left to upper right then correction is:

Scattered diagram is used to plot

The covariance between two variables is

Correlation analysis aims at

When $\displaystyle r = 1$, all the points in a scatter diagram would lie

Price and Demand are the example of

For a $\displaystyle 4 \times 7$ classification of bivariate data, the maximum no. of conditional distributions is:

Below scatter diagram shows what type of correlation

For a $\displaystyle p \times q$ classification of bivariate data, the maximum no. of conditional distributions is

For a $\displaystyle p \times q$ bivariate frequency table, the maximum number of marginal distributions is

If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is

For a $\displaystyle m \times n$ two way or bivariate frequency table, the maximum number of marginal distributions is

A scatter diagram of two variables developing a pattern of multiple circular rings represents which kind of correlation?

For a $\displaystyle (m \times n)$ classification of bivariate data, the maximum no. of conditional distributions is

Correlation coefficient is _________ of the units of measurements.

If the correlation coeff. between the variables $\displaystyle X$ and $\displaystyle Y$ is $\displaystyle 0.5$, then the correlation coefficient between the variables $\displaystyle 2X - 4$ and $\displaystyle 3 - 2Y$ is

Then Karl Pearson's coefficient of correlation is

If the regression line of $\displaystyle y$ on $\displaystyle x$ is given by $\displaystyle y = x + 2$ and Karl Pearson's coefficient of correlation is $\displaystyle 0.5$ then $\displaystyle \frac{V_y}{V_x}$ =

What is the coefficient of correlation from the following data?X123456Y543210

For the set of observations $\displaystyle (1,2),(2,5),(3,7),(4,8),(5,10))$ the value of Karl-person's coefficient of correlation is approximately given by

The coefficient of correlation between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 0.5$ the covariance is $\displaystyle 16$, variance of $\displaystyle x$ is $\displaystyle 16$ then standard deviation of $\displaystyle y$ is

If the sum of the product of the deviations of $\displaystyle X$ and $\displaystyle Y$ from their means is zero the correlation coefficient between $\displaystyle X$ and $\displaystyle Y$ is:

The sum of square of any real positive quantities and its reciprocal is never less than:

Karl Pearson Correlation Coefficient method is used for -

Which of the following is used to find correlation between two qualitative characteristics

Pearson's Correlation coefficient between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 2$

______ may be defined as the ratio of covariance between the two variables to the product of the standard deviation of the two variables

If $\displaystyle cov(x,y) = -2.15$, $\displaystyle S_x = 1.30$, $\displaystyle S_y = 2.50$, then correlation coefficient $\displaystyle r$ is

The range of the coefficient of correlation is

The variance of two variables '$\displaystyle x$' and '$\displaystyle y$' are $\displaystyle 16$ and $\displaystyle 25$ and covariance between '$\displaystyle x$' and '$\displaystyle y$' is $\displaystyle 18.5$. Another two variables '$\displaystyle u$' and '$\displaystyle v$' are defined as $\displaystyle u = (x-3)/2$ and $\displaystyle v = (y-2)/3$, then coefficient of correlation between '$\displaystyle u$' and '$\displaystyle v$' is

If the relation between $\displaystyle x$ and $\displaystyle u$ is $\displaystyle 3x + 4u + 7 = 0$ and the correlation coefficient between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle -0.6$, then what is the correlation coefficient between $\displaystyle u$ and $\displaystyle y$?

When $\displaystyle r = 0$ then $\displaystyle cov(x,y)$ is equal to

Correlation coefficient $\displaystyle r_{xy}$, $\displaystyle b_{yx}$ and $\displaystyle b_{xy}$ are all have ______ signs

Correlation Co-efficient is ______ of the units of measurements

If for two variable $\displaystyle x$ and $\displaystyle y$, the covariance, variance of $\displaystyle x$ and variance of $\displaystyle y$ are $\displaystyle 40, 16$ and $\displaystyle 256$ respectively, what is the value of the correlation coefficient?

The coefficient of correlation between $\displaystyle x$ and $\displaystyle y$ is the ______ of the two regression coefficients

If the correlation coefficient between $\displaystyle u$ and $\displaystyle v$ are $\displaystyle 2u + 4 - 0$ and $\displaystyle 4v + 16u + 11 = 0$

If the coefficient of correlation between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 0.6$. If $\displaystyle x$ and $\displaystyle y$ values are multiplied by $\displaystyle -1$, then coefficient of correlation will be

If the relation between two variables $\displaystyle X$ and $\displaystyle Y$ in given by $\displaystyle 2X+3Y+4=0$, then the Value of the correlation coefficient between $\displaystyle X$ and $\displaystyle Y$ is

There are two equations: $\displaystyle m + 3p + 2 = 0$ and $\displaystyle 6n + 2q - 1$. Correlation coefficients for $\displaystyle p$ and $\displaystyle q$ is $\displaystyle 0.5$. Find the correlation coefficients of $\displaystyle m$ and $\displaystyle n$

If the covariance between two variables is $\displaystyle 20$ and the variance of one of the variables is $\displaystyle 16$, what would be the variance of the other variable?

The covariance between two variables X and Y is $\displaystyle 8.4$ and their variances are $\displaystyle 25$ and $\displaystyle 36$ resp. Calculate Karl Pearson's coefficient of correlation

If correlation co-efficient r between x and y is $\displaystyle 0.5$ then r between x and -y is

If the coefficient of correlation between x and y is $\displaystyle 0.5$, the covariance is $\displaystyle 16$ and the Standard Deviation of y is

The covariance between two variables X and Y is $\displaystyle 8.4$ and their variances are $\displaystyle 25$ and $\displaystyle 36$ respectively. Calculate Karl Pearson's coefficient of correlation between them.

If r is the Karl Pearson's coefficient of correlation in a bivariate distribution the two regression lines are at right angles when

If $\displaystyle r = 0.6$ then coefficient of non-determination is

The correlation between two variables x and y is found to be $\displaystyle 0.4$. What is the correlation between $\displaystyle 2x$ and $\displaystyle (-y)$?

Correlation Co-efficient is _________ of the units of measurements.

If for two variable x and y, the covariance, variance of x and variance of y are $\displaystyle 40$, $\displaystyle 16$ and $\displaystyle 256$ respectively, what is the value of the correlation coefficient?

If $\displaystyle r = 0.5$, $\displaystyle \sum xy = 120$, $\displaystyle \sigma_y = 8$, $\displaystyle \sum x^2 = 90$, then value of n is equal to _________ where $\displaystyle \sum xy = \sum (x - \bar{x})(y - \bar{y})$, $\displaystyle \sum x^2 = \sum (x - \bar{x})^2$

The maximum value of correlation coefficient is

If the coefficient of correlation between x and y is $\displaystyle 0.5$, the covariance is $\displaystyle 16$ and if the standard deviation of x is $\displaystyle 4$ then Standard deviation of y is:

Rank correlation coefficient lies between

The intersecting point of the two regression lines: $\displaystyle y$ on $\displaystyle x$ and $\displaystyle x$ on $\displaystyle y$ is

Given the following series: X 10 13 12 15 8 15 Y 12 16 18 16 7 18 The rank correlation coefficient r = $\displaystyle 1 - \frac{6 \sum d^2 + \sum \frac{m_i(m_i^2 - 1)}{12}}{n(n^2 - 1)}$

Determine Spearman's rank correlation coefficient from the given data $\displaystyle \sum d^2 = 30, n = 10$.

The coefficient of rank correlation between the ranking of following 6 students in two subjects Mathematics and Statistics is: Mathematics | Statistics 3 | 6 5 | 4 8 | 9 4 | 8 7 | 1 10 | 2

Spearman's rank correlation coefficient $\displaystyle r_s$ is given by

For a group of $\displaystyle 10$ students the sum of squares of difference in ranks for physics and chemistry marks was $\displaystyle 60$, what is the value of rank correlation coefficient (Choose the nearest value)

Spearman's Correlation Coefficient is used to check

If the sum of squares of difference between ranks, given by two judges A and B of $\displaystyle 8$ students is $\displaystyle 21$, what is the value of rank correlation coefficient?

If three judges appointed for a beauty competition, then how many different rank correlation coefficients are required to analyse the judge competition.

If the sum of squares of difference in ranks, given by two judges A and B of $\displaystyle 8$ students is $\displaystyle 21$. What is the value of rank correlation coefficient?

In a bivariate distribution if the rank correlation coefficient $\displaystyle r = 0.12$, $\displaystyle \Sigma d^2 = 146$. Then the no. of observed pairs $\displaystyle (N)$ is

The coefficient of rank correlation between the ranking of following $\displaystyle 6$ students in two subjects Mathematics and Statistics is:Mathematics | Statistics--- | ---$\displaystyle 3$ | \displaystyle 6<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 2: 5\displaystyle ̲ |4" style="color:#cc0000">5$\displaystyle |$48$\displaystyle |$9\displaystyle &#x27; in math mode at position 2: 4̲ | \displaystyle 8" style="color:#cc0000">4 | $\displaystyle 8</span>7$ | $\displaystyle 1$$\displaystyle 10$ | $\displaystyle 2$

The sum of the squares of differences in ranks of marks obtained in Physics and Chemistry by $\displaystyle 10$ students in a test is $\displaystyle 150$, then the coefficient of rank correlation by :

If the sum of squares of the rank difference in mathematics and physics marks of $\displaystyle 10$ students is $\displaystyle 22$, then the coefficient of rank correlation is:

The coefficient of rank correlation of marks obtained by $\displaystyle 10$ students in English and Economics was found to be $\displaystyle 0.5$. It was later discovered that the difference in ranks in the two subjects obtained by one student was wrongly taken as $\displaystyle 3$ instead of $\displaystyle 7$. Find correct coefficient of rank correlation.

In the method of Concurrent Deviations, only the directions of change (Positive direction/Negative direction) in the variables are taken into account for calculation of

If concurrent coefficient is $\displaystyle 1/\sqrt{3}$ and number of concurrent deviation is $\displaystyle 6$ for $\displaystyle n$ pairs of data. Find total number of pairs?

Standard Error of Correlation coefficient

Probable Error can be obtained using Correlation coefficient as

What is spurious correlation?

If the coefficient of correlation between two variables is $\displaystyle 0.7$ then the percentage of variation unaccounted for is

If the coefficient of correlation between two variables is $\displaystyle -0.9$, then the coefficient of determination is

For $\displaystyle 10$ pairs of observations, number of concurrent deviations was found to be $\displaystyle 4$. What is the value of the coefficient of concurrent deviation?

For $\displaystyle n$ pairs of observations, the coefficient of concurrent deviation is calculated as $\displaystyle 1/\sqrt{3}$. If there are $\displaystyle 6$ concurrent deviations, $\displaystyle n=$

The two line of regression interested at the point

If two lines of regression are $\displaystyle x+2y-5=0$ and $\displaystyle 2x+3y-8=0$, then the regression line of $\displaystyle y$ on $\displaystyle x$ is:

If the two regression lines are $\displaystyle 3X=Y$ and $\displaystyle 8Y=6X$, then the value of correlation coefficient is

The regression coefficient is independent of the change of:

A.M. of regression coefficient is

If two line of regression are $\displaystyle x + 2y - 5 = 0$ and $\displaystyle 2x + 3y - 8 = 0$. So $\displaystyle x + 2y - 5 = 0$ is

Find the coefficient of correlation. $\displaystyle 2x + 3y = 2$ $\displaystyle 4x + 3y = 4$

Given that the variance of $\displaystyle x$ is equal to the twice of square of standard deviation of $\displaystyle y$ and the regression line of $\displaystyle y$ on $\displaystyle x$ is $\displaystyle y = 40 + 0.5 (x - 30)$. Then regression line of $\displaystyle x$ on $\displaystyle y$ is

Regression coefficients remain unchanged due to

If $\displaystyle y = 9x$ and $\displaystyle x = 0.01y$ then $\displaystyle r$ is equal to:

The straight - line graph of the linear equation $\displaystyle y = a + bx$, slope is horizontal if:

If $\displaystyle b_{yx} = -1.6$, $\displaystyle b_{xy} = -0.4$ then $\displaystyle r_{xy}$ will be:

If the slope of the regression line is calculated to be $\displaystyle 5.5$ and the intercept $\displaystyle 15$ then the value of $\displaystyle Y$ if $\displaystyle X$ is $\displaystyle 6$ is:

For any two variables $\displaystyle X$ and $\displaystyle Y$ the regression equations are given as $\displaystyle 2x + 5y - 9 = 0$ and $\displaystyle 3x - y - 5 = 0$. What are the A.M. of $\displaystyle X$ and $\displaystyle Y$?

The intersecting point of two regression lines falls at $\displaystyle X$-axis. If the mean of $\displaystyle X$-values is $\displaystyle 16$, the standard deviations of $\displaystyle X$ and $\displaystyle Y$ are respectively, $\displaystyle 3$ and $\displaystyle 4$, then the mean of $\displaystyle Y$-value is

The regression coefficients remain unchanged due

The equations of the two lines of regression are $\displaystyle 4x + 3y + 7 = 0$ and $\displaystyle 3x + 4y + 8 = 0$. Find the correlation coefficient between $\displaystyle x$ and $\displaystyle y$?

The regression equations are $\displaystyle 2x + 3y + 1 = 0$ and $\displaystyle 5x + 6y + 1 = 0$, then Mean of $\displaystyle x$ and $\displaystyle y$ are:

If $\displaystyle b_{yx} = 0.5$, $\displaystyle b_{xy} = 0.46$ then the value of correlation coefficient $\displaystyle r$ is:

For variables $\displaystyle X$ and $\displaystyle Y$, we collect the four observations with $\displaystyle \Sigma X = 10; \Sigma Y = 14; \Sigma X^2 = 65; \Sigma Y^2 = 5$ and $\displaystyle \Sigma XY = 3$. What is the regression line of $\displaystyle Y$ on $\displaystyle X$?

The regression lines will be perpendicular to each other when the value of $\displaystyle r$ is

If the regression equations are $\displaystyle x + 2y - 5 = 0$ and $\displaystyle 2x + 3y - 8 = 0$, then the mean of $\displaystyle x$ and the mean of $\displaystyle y$ are __________, respectively.

If the regression line of $\displaystyle y$ on $\displaystyle x$ and of $\displaystyle x$ on $\displaystyle y$ are given by $\displaystyle 10x - 20y = -290$ and $\displaystyle 20y - 10x = -4x$. Then the arithmetic means of $\displaystyle x$ and $\displaystyle y$ are

If the coefficient of correlation is $\displaystyle 0.8$ and regression coefficient $\displaystyle b_{xy} = 0.32$ then what is the value of regression coefficient $\displaystyle b_{yx}$?

If the Regression coefficient ($\displaystyle r_{xy}$) of $\displaystyle y$ on $\displaystyle x$ is greater than unity, then other Regression coefficient ($\displaystyle r_{yx}$) of $\displaystyle x$ on $\displaystyle y$ is:

If $\displaystyle 4y - 6x = 18$ is regression line of $\displaystyle y$ on $\displaystyle x$ and coefficient of correlation between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 0.8$, then value of regression coefficient of $\displaystyle x$ on $\displaystyle y$ is?

If the regression lines are $\displaystyle 3x - 4y + 8 = 0$ and $\displaystyle 4x - 3y = 1$, then the correlation coefficient between $\displaystyle x$ and $\displaystyle y$ is __________.

Which of the following statement is correct?

Which of the following statement is correct regarding both of the two regression coefficients?

Equations of two lines of regression are $\displaystyle 4x + 3y = 7$ and $\displaystyle 3x + 4y = 0$, the mean of $\displaystyle x$ and $\displaystyle y$ are

If the two regression coefficients are $\displaystyle 4$ and $\displaystyle 0.16$, the percentage of unexplained variation is.

If the two regression co-efficient are $\displaystyle 4$ and $\displaystyle 0.16$ the percentage of unexplained variation is:

If the coefficient of determination is $\displaystyle 0.64$ and the regression coefficient of $\displaystyle x$ on $\displaystyle y$ is $\displaystyle 4$ then the regression coefficient $\displaystyle y$ on $\displaystyle x$ is.

For two variables $\displaystyle x$ and $\displaystyle y$ with the same mean the regression equation are $\displaystyle y = 2x - \alpha$ and $\displaystyle x = 2y - \beta$, what is the value of common mean

If two variables are independent their covariance is

In a bivariate population, the linear regression lines $\displaystyle 2x + y = 0$ and $\displaystyle y = x$ then the coefficient of correlation is

The covariance between two variables $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 72$. The variances of $\displaystyle x$ and $\displaystyle y$ are $\displaystyle 144$ and $\displaystyle 81$. The coefficient of correlation is

If $\displaystyle r = 0.6$ then the coefficient of non-determination

The two lines of regression become identical when

The regression coefficients remain unchanged due to

If the regression coefficient of $\displaystyle y$ on $\displaystyle x$ is $\displaystyle 0.6$ and the correlation coefficient $\displaystyle 0.6$ and the SD is $\displaystyle y$ is $\displaystyle 4$, the SD of $\displaystyle x$ is

If $\displaystyle U + 5x = 6$ and $\displaystyle 3y - 7v = 20$ and correlation coefficient between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 0.58$ then what be the correlation coefficient between $\displaystyle U$ and $\displaystyle V$?

If the regression coefficient of $\displaystyle y$ on $\displaystyle x$ is $\displaystyle 1.5$ and the variances of $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 4$ and $\displaystyle 9$ respectively then the correlation coefficient is

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

If the coefficient of determination is $\displaystyle 0.64$ and the regression coefficient of $\displaystyle x$ on $\displaystyle y$ is $\displaystyle 4$ then the regression coefficient $\displaystyle y$ on $\displaystyle x$ is

The regression equation $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 3x + 2y = 100$, the value of $\displaystyle b_{xy}$

If the regression line of $\displaystyle y$ on $\displaystyle x$ is given by $\displaystyle y = x + 2$ and $\displaystyle 5x + 6y = -1$ then the arithmetic means of $\displaystyle x$ and $\displaystyle y$ are given by.

The coefficients of correlation between two variables $\displaystyle x$ and $\displaystyle y$ is the simple ______ of two regression coefficients.

For a positive and perfectly correlated random variables, regression coefficient of $\displaystyle x$ on $\displaystyle y$ is $\displaystyle 1.4$ and the SD of $\displaystyle x$ is $\displaystyle 2$, the variance of $\displaystyle y$ is

If $\displaystyle r = 0$, regression lines are:

If the two regression lines are $\displaystyle 2x + 3y - 8 = 0$, then regression line of $\displaystyle y$ on $\displaystyle x$ is:

If the regression line of $\displaystyle y$ on $\displaystyle x$ and of $\displaystyle x$ on $\displaystyle y$ are given by $\displaystyle 2x + 3y = -1$ and $\displaystyle 5x + 6y = -1$, then the arithmetic means of $\displaystyle x$ and $\displaystyle y$ are given by

If the two regression lines are $\displaystyle 3X = Y$ and $\displaystyle 8Y = 6X$ then the value of correlation coefficient is:

The regression coefficients remain unchanged by

AM of regression coefficient is:

Consider the two regression lines $\displaystyle 3x + 2y = 26$ & $\displaystyle 6x + y = 31$. Find the mean values of $\displaystyle x$ and $\displaystyle y$.

If regression line of $\displaystyle y$ on $\displaystyle x$ is given by $\displaystyle y = x + 2$ and Karl Pearson's coefficient of correlation is $\displaystyle 0.5$ then $\displaystyle \frac{\sigma_y^2}{\sigma_x^2} =$

If the regression line of $\displaystyle Y$ on $\displaystyle X$ is given by $\displaystyle Y = X + 2$ and Karl Pearson's coefficient of correlation is $\displaystyle 0.5$ then $\displaystyle \frac{\sigma_Y^2}{\sigma_X^2} =$

When two lines of regression become identical if

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

The equations of the two lines of regression are $\displaystyle 4x + 3y + 7 = 0$ and $\displaystyle 3x + 4y + 8 = 0$. Find the correlation coefficient between $\displaystyle x$ and $\displaystyle y$.

The regression equation are $\displaystyle 2x + 3y + 1 = 0$ and $\displaystyle 5x + 6y + 1 = 0$, then Mean of $\displaystyle x$ and $\displaystyle y$ respectively are

If $\displaystyle b_{yx} = 0.5$, $\displaystyle b_{xy} = 0.45$ then the value of correlation coefficient is:

If $\displaystyle Y$ is dependent variable and $\displaystyle X$ is independent variable and the S.D. of $\displaystyle X$ and $\displaystyle Y$ are $\displaystyle 5$ and $\displaystyle 8$ respectively and co-efficient of co-relation between $\displaystyle X$ and $\displaystyle Y$ is $\displaystyle 0.8$. Find the Regression coefficient of $\displaystyle Y$ on $\displaystyle X$:

In regression analysis, which of the following can be in the form of an index number?

If both the regression coefficients are negative, what will be coefficient of correlation?

If the regression equation of two variables are $\displaystyle 5x - y = 4$ and $\displaystyle 3x - 2y = 1$. Find the arithmetic means of $\displaystyle x$ and $\displaystyle y$

Two regression lines are perpendicular each other of $\displaystyle r =$

Given that $\displaystyle r = 0.4$ and $\displaystyle n = 81$, determine the limits for the population correlation coefficient.

In case of "Insurance companies' profit" and "The number of claims they have to pay", there exists a:

The coefficient of two variables is $\displaystyle 0.9$, then coefficient of non-determination is

If the coefficient of correlation between two variables is $\displaystyle 0.8$ then the percentage of variation unaccounted for is

Correlation between unrelated variables is not because of:

If $\displaystyle r = 0.6$, then coefficient of non-determination is

Which one of the following statement is wrong?

You are given the following data relating to a frequency distribution of 10 observations: $\displaystyle \Sigma X = 50, \Sigma Y = 60, \Sigma X^2 = 300, \Sigma Y^2 = 352, \Sigma(X + Y)^2 = 1372$ then Cov(X, Y) is

If $\displaystyle r = 0.8$ then coefficient of non determination is

The correlation coefficient between X and Y is 0.2 and Var(X) = 5Var(Y) then regression coefficient of X on Y is

Compute the rank correlation coefficient from the following data: $\displaystyle n = 10, \Sigma d^2 = 5$

If $\displaystyle r=0.8, b_{yx}=0.6, b_{xy}=0.5, \bar{x}=5$ and $\displaystyle \bar{y}=3$, then the regression equation y on x is

If the slope of the regression line is calculated to be 3.5 and the intercept 14 then the value of Y when X is 6 is

For the variables x and y, the regression equations are given as $\displaystyle x + 2y - 5 = 0$ and $\displaystyle 2x + 3y - 8 = 0$ and the arithmetic means of x and y are 1 and 2 respectively. Compute the correlation coefficient between x and y.

If $\displaystyle b_{yx} = 1.6$ and $\displaystyle b_{xy} = 0.4$, then $\displaystyle r_{xy}$ will be:

The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new correlation co-efficient will be -

When both the regression co-efficients are $\displaystyle b_{xy} = 0.7$ and $\displaystyle b_{yx} = 0.8$, respectively, then correlation co-efficient between x and y is

For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of rank correlation co-efficient?

If $\displaystyle r = 0.7$ then co-efficient of non-determination is

Given $\displaystyle x = 2y + 4$ and $\displaystyle y = kx + 6$ are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is

For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of rank correlation coefficient. How many students are there in the group?

If two variables move in the same direction i.e. an increase (or decrease) on the part of one variable introduces an increase (or decrease) on the part of the other variable, then the two variables are known to be

If $\displaystyle m + 3x=10$ and $\displaystyle 2y + 5n=25$ and regression coefficient of $\displaystyle y$ on $\displaystyle x$ is 0.80, what is the regression coefficient of $\displaystyle n$ on $\displaystyle m$?

If the regression coefficient $\displaystyle b_{yx}$ is greater than one, then the regression coefficient $\displaystyle b_{xy}$

The sum of squares of the differences between two ranks awarded by two judges on 10 candidates is _______ if the rank correlation coefficient is 0.8.

Scatter diagram does not help us to: