Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 45

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12th Tamil Nadu Board

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Given the following data, estimate the marks in statistics obtained by a student who has scored $60$ marks in English. Mean of marks in Statistics $= 80$ , Mean of marks in English $= 50$ , S.D of marks in Statistics $= 15$ , S.D of marks in English $= 10$ and Coefficient of correlation $= 0.4$ .

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Important Questions on Regression Analysis

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 1

______ is widely used for prediction.

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 2

The linear regression analysis can be classified in to

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 3

The linear equation

Y = a + b x

is called as regression equation of

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 4

In regression equation

X = a + b Y + e

,

b

is

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 5

Find the relation between regression coefficient

b_{y x}

and correlation coefficient.

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 6

If

b_{x y} > 1

, then

b_{y x}

is

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 7

In the regression equation

(y - \bar{y}) = r_{x y} \frac{S D (Y)}{S D (X)} (x - \bar{x})

,

r_{x y} \frac{S D (Y)}{S D (X)}

is

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12th Tamil Nadu Board

IMPORTANT

Statistics Standard 12>Chapter 5 - Regression Analysis>Exercise>Q 8

Using the regression coefficients we can calculate