Virtual Labs

3A regression Is the slope of a line zero

Let Y = a+bX be the equation of linear regression of Y on X then

a: X represents dependent variable Explanation

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b: Y represents independent variable Explanation

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c: b represents the slope of line Explanation

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d: a represents the slope of line Explanation

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The slope of regression line of Y on X is also referred to as

a: regression coefficient of X on Y Explanation

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b: correlation coefficient of X and Y Explanation

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c: regression coefficient of Y on X Explanation

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d: coefficient of variation Explanation

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The correlation for the values of two variables moving in the same direction is

a: perfect positive Explanation

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b: negative Explanation

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c: positive Explanation

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d: no correlation Explanation

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Which of the following plots is suitable for describing the linear relationship between two variables?

a: Bar plot Explanation

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b: Scatter plot Explanation

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c: Histogram Explanation

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d: Pie chart Explanation

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For a regression line passing through origin

a: there is no correlation between variables Explanation

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b: the regression coefficient is zero Explanation

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c: the intercept is zero Explanation

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d: there is no association between variables Explanation

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The method of least square used to estimate the unknown constants 'a' & 'b' used in the regression equation, Y=a+bX, minimizes:

a: sum of squares different between X and Y Explanation

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b: sum of squares of actual and estimated values of Y Explanation

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c: sum of squares of difference between actual and estimated values of Y Explanation

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d: Explanation

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For two variables X and Y there can be a maximum of :

a: Four regression lines Explanation

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b: Two regression lines Explanation

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c: Three regression lines Explanation

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d: One regression lines Explanation

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What would be the slopes of two regression lines parallel to each other?

a: zero Explanation

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b: positive Explanation

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c: equal Explanation

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d: negative Explanation

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What is the sum of squares of errors if all the actual and estimated values of Y are same?

a: maximum Explanation

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b: minimum Explanation

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c: zero Explanation

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d: unknown Explanation

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