Correlation and Regression

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

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

Scatter diagram does not help us to:

If the data points of $(X, Y)$ series on a scatter diagram lie along a straight line that goes downwards as $X$- 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 $r = 1$, all the points in a scatter diagram would lie

Price and Demand are the example of

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

Below scatter diagram shows what type of correlation

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

For a $p \times q$ 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 $m \times n$ 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 $(m \times n)$ 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 $X$ and $Y$ is $0.5$, then the correlation coefficient between the variables $2X - 4$ and $3 - 2Y$ is

Then Karl Pearson's coefficient of correlation is

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

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

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

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

If the sum of the product of the deviations of $X$ and $Y$ from their means is zero the correlation coefficient between $X$ and $Y$ 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 $x$ and $y$ is $2$

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

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

The range of the coefficient of correlation is

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

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

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

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

$Correlation Co-efficient is ______ of the units of measurements$

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

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

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

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

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

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

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

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

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

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

The covariance between two variables X and Y is $8.4$ and their variances are $25$ and $36$ 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 $r = 0.6$ then coefficient of non-determination is

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

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

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

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

The maximum value of correlation coefficient is

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

Rank correlation coefficient lies between

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

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

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

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 $r_s$ is given by

For a group of $10$ students the sum of squares of difference in ranks for physics and chemistry marks was $60$, 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 $8$ students is $21$, 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 $8$ students is $21$. What is the value of rank correlation coefficient?

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

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

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

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

The coefficient of rank correlation of marks obtained by $10$ students in English and Economics was found to be $0.5$. It was later discovered that the difference in ranks in the two subjects obtained by one student was wrongly taken as $3$ instead of $7$. 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 $1/\sqrt{3}$ and number of concurrent deviation is $6$ for $n$ 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 $0.7$ then the percentage of variation unaccounted for is

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

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

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

The two line of regression interested at the point

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

If the two regression lines are $3X=Y$ and $8Y=6X$, 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 $x + 2y - 5 = 0$ and $2x + 3y - 8 = 0$. So $x + 2y - 5 = 0$ is

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

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

Regression coefficients remain unchanged due to

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

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

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

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

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

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

The regression coefficients remain unchanged due

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

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

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

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

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

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

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

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

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

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

If the regression lines are $3x - 4y + 8 = 0$ and $4x - 3y = 1$, then the correlation coefficient between $x$ and $y$ 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 $4x + 3y = 7$ and $3x + 4y = 0$, the mean of $x$ and $y$ are

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

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

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

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

If two variables are independent their covariance is

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

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

If $r = 0.6$ 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 $y$ on $x$ is $0.6$ and the correlation coefficient $0.6$ and the SD is $y$ is $4$, the SD of $x$ is

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

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

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

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

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

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

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

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

If $r = 0$, regression lines are:

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

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

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

The regression coefficients remain unchanged by

AM of regression coefficient is:

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

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

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

When two lines of regression become identical if

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 $y$?

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

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

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

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

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 $5x - y = 4$ and $3x - 2y = 1$. Find the arithmetic means of $x$ and $y$

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

Given that $r = 0.4$ and $n = 81$, 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 $0.9$, then coefficient of non-determination is

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

Correlation between unrelated variables is not because of:

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