The slope, M of the line of best fit for the bivariate frequency distribution in variables x and y is given by the formula

$M = \sum_{i = 1}^{n} \frac{(x_{i} - ¯ x) (y_{i} - ¯ y)}{(y_{i} - ¯ y)^{2}}$

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$M = \sum_{i = 1}^{n} \frac{(x_{i} - ¯ x) (y_{i} - ¯ y)}{(x_{i} - ¯ x)^{2}}$

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$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (y_{i} - ¯ y)^{2}}$

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$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (x_{i} - ¯ x)^{2}}$

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Solution

The correct option is D
$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (x_{i} - ¯ x)^{2}}$

The formula for the slope of the line of best fit is

$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (x_{i} - ¯ x)^{2}}$

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x_{1}, x_{2}, . . ., x_{n}

be n observations and

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be their arithmetic mean. The standard deviation is given by

(a)

\sum_{i = 1}^{n} {(x_{i} - X)}^{2}

(b)

\frac{1}{n} \sum_{i = 1}^{n} {(x_{i} - X)}^{2}

(c)

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Q. If

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x

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Find the value of

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, then standard deviation of the data is

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The slope, M of the line of best fit for the bivariate frequency distribution in variables x and y is given by the formula

The correct option is D M=∑ni=1(xi−¯x)(yi−¯y)∑ni=1(xi−¯x)2 The formula for the slope of the line of best fit is M=∑ni=1(xi−¯x)(yi−¯y)∑ni=1(xi−¯x)2

The correct option is D
$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (x_{i} - ¯ x)^{2}}$

The formula for the slope of the line of best fit is

$M = \frac{\sum_{i = 1}^{n} (x_{i} - ¯ x) (y_{i} - ¯ y)}{\sum_{i = 1}^{n} (x_{i} - ¯ x)^{2}}$