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Showing 43 of 43 questions

Q11m

Which of the following indicates the functional relation between the two variables?

Q21m

The best fitted line of regression can be obtained by which method?

Q31m

In usual notation, what is $b_{yx}$ ?

Q41m

Which of the following is correct?

Q51m

The regression line always passes through which point?

Q61m

What is error $e$ in estimation in case of line of regression of $Y$ on $X$ ?

Q71m

Which regression line is used if the sale of a commodity depends on its advertisement cost?

Q81m

Which of the following is a regression line of $Y$ on $X$ ?

Q91m

For which value of the correlation coefficient $(r)$ , the regression coefficient becomes zero?

Q101m

What is coefficient of determination in the study of regression for two variables?

Q111m

If the regression line is $\hat{y} = 10 + 3x$ , what is the estimate of $Y$ for $X = 20$ ?

Q121m

What is the value of $b_{yx}$ if the regression line is $2x + 3y - 50 = 0$ ?

Q131m

The regression line of $Y$ on $X$ is $\hat{y} = 30 - 1.5x$ . What is the value of $\overline{y}$ if $\overline{x} = 10$ ?

Q141m

If $u = \frac{x-15}{10}$ and $v = \frac{y-50}{2}$ and $b_{yx} = 7.5$ , What is the value of $b_{vu}$ ?

Q151m

If $r = 0.8$ , how much part of the total variation in the dependent variable can be explained by the regression model?

Q161m

Define : Linear Regression

Q171m

Define : Regression Coefficient

Q181m

State the Linear Regression model.

Q191m

What is an error in context with a regression line?

Q201m

Give the name of a method to obtain the best fitted regression line.

Q211m

The regression coefficient is independent of which transformation?

Q221m

The regression coefficient is not independent of which transformation?

Q231m

What is the value of error if a sample point is on the fitted line?

Q241m

Will the regression coefficient change if the values of both the variables are doubled with the help of transformation of scale?

Q251m

If $r = 0.5$ , $s_x = 2$ , $s_y = 4$ , what is the value of $b_{yx}$ ?

Q261m

If a regression line is $\hat{y} = 31.5 + 1.85x$ , estimate $Y$ for $X = 10$ .

Q271m

If $Y$ and $X$ have the relation $y = a + bx$ , where $b > 0$ then what is the value of $r$ ?

Q281m

If $y = 5 - 3x$ is the relation between $Y$ and $X$ then what is the value of $r$ ?

Q292m

What is the literal meaning of the term 'regression'?

Q303m

Define independent variable and dependent variable with one example each.

Q312m

What is the regression model when there is perfect linear correlation between X and Y?

Q323m

Explain the method of least squares for fitting a regression line.

Q333m

State the regression coefficient formula from covariance and correlation coefficient.

Q343m

State four utilities of study of regression.

Q352m

Define coefficient of determination ( $R^2$ ).

Q362m

How is $R^2$ related to $r$ ?

Q372m

If $r = 0.9$ , what percentage of variation in Y is explained by the regression line?

Q383m

State two properties of regression coefficient.

Q393m

State precautions while using regression.

Q403m

Difference between regression line of Y on X and regression line of X on Y.

Q413m

Difference between correlation and regression.

Q422m

What is the value of $a$ if the regression line passes through $(\bar{x}, \bar{y})$ ?

Q432m

If $r = 1$ , what is the relation between regression coefficients?