Regression Correlation MCQs 14

Master the fundamentals of statistical relationships with this comprehensive 20-question Multiple Choice Quiz on Regression Correlation MCQs. Designed for students, researchers, data analysts, and aspiring data scientists, this quiz tests your understanding of key concepts essential for exams and job interviews. Challenge yourself with problems on finding regression equations, correlation coefficients, means, standard deviations, covariance, and the coefficient of determination. Perfect your skills in interpreting data and predicting values to solidify your grasp on these critical statistical techniques. Let us start with the Regression Correlation MCQs now.

Online Regression Correlation MCQs with Answers

• For the two variables, the regression of $Y$ on $X$ is $4X-5Y-90=0$ and the regression equation of $X$ on $Y$ is $X+kY-6=0$. If the coefficient of determination is 0.48, then the value of $k$ is
• The two regression equations are given as: $3X+2Y=26$ and $6X+Y=31$. What are the mean values of $X$ and $Y$?
• Two given regression equations are $2X+3Y=5$ and $x+2Y=4$, then equation of the $Y$ on $X$ is
• The average price of an item is Rs. 25.5 with a standard deviation of Rs. 2.4 and the average demand of that item is 40 units per day with a standard deviation of 6 units. Correlation between them is $-0.8$. When the price is Rs. 24, then the estimated demand of that item is?
• Given the following data $\Sigma Y=294$, $\Sigma X = 490$, $\Sigma XY=3125$, $\Sigma X^2 = 5350$, $\Sigma Y^2 = 1964$ and $n=49$, then what is the value of correlation coefficient?
• The correlation coefficient between two variables $X$ and $Y$ is 0.8, and their covariance is 20. Also standard deviation of $X$ is 4; what is the standard deviation of $Y$?
• The covariance between variables $X$ and $Y$ of five items is 6, and their standard deviations are 2.45 and 2.6, respectively. What is the value of $r$?
• Given that $r=0.8$, $\Sigma XY = 60$, $\delta_Y = 2.5$, $\Sigma X^2=90$, where $X$ and $Y$ are the deviations from their respective means, then the value of $n$ is
• If $r=0.6$, then the coefficient of non-determination is
• The statement “two regression lines always intersect at the mean value of $X$ and $Y$” is
• The value of $b_{yx}$ in the regression equation $2X + 3Y +50 =0$ is
• The value of $a_{xy}$ in the regression equation $2X+3Y+50=0$ is
• The regression coefficients are equal to zero if $r$ is equal to
• The angle between the two regression lines depends upon
• The slope of the regression line of $Y$ on $X$ is equal to
• Given that $b_{yx}=1.36$ and $b_{xy}=0.613$ then the coefficient of determination is
• The regression equations of two variables $X$ and $Y$ are given $3X+2Y-26=0$ and $6X+Y-31=0$. What is the value of the correlation coefficient?
• The given data $\overline{x} = 36$, $\overline{y}=85$, $\sigma=8$, $\sigma_x=11$, $r=0.6$ then find the value of $X$ if $Y=75$.
• For 10 observations on Price ($X$) and Supply ($Y$), the following data obtained: $\Sigma X = 130, \Sigma Y=220, \Sigma X^2 = 2288, \Sigma Y^2=5506, $\Sigma XY=3467$. Estimate the value of the supply if the price is 16?
• The correlation coefficient is a

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