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(b) The following are the marks in Statistics (X) and Mathematics (Y) of ten students.
X 35 34 37 37 36 35 39 43 48 3617
Y 47 46 46 49 44 47 51 45 47 45
Find the Regression two Equations by taking 39 in series X and 49 in series Y as
Assumed Means.
by by applying weighted average
​

Answer :

dkumari232007

Answer:

To find the regression equations using assumed means (weighted average method) with X = 39 and Y = 49 as the assumed means, we'll follow these steps:

Given data:

X = 35, 34, 37, 37, 36, 35, 39, 43, 48, 3617

Y = 47, 46, 46, 49, 44, 47, 51, 45, 47, 45

Assumed means:

\( \bar{X} = 39 \)

\( \bar{Y} = 49 \)

Step 1: Calculate deviations from the assumed means:

\[ d_X = X - \bar{X} \]

\[ d_Y = Y - \bar{Y} \]

Calculate \( d_X \) and \( d_Y \):

\[ d_X = [35-39, 34-39, 37-39, 37-39, 36-39, 35-39, 39-39, 43-39, 48-39, 3617-39] \]

\[ d_X = [-4, -5, -2, -2, -3, -4, 0, 4, 9, 3578] \]

(There seems to be an error in the given data, as 3617 appears out of sequence. Please clarify.)

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