Question

Calculate the two regression equation of x on y and y on x from the data below, taking deviation from actual mean of x and y
Price = 10 12 13 12 16 15
Demand = 40 38 43 45 37 43.
Estimate the likely demand when the price is 20naira

Answer 1

Answer:

hahaha

sgsbhz

sgsbhz.

Step-by-step explanation:

shs snhs

sgsbhz

syshsydn

ryd dhdnx6.c6fid0yshdjdhdhdjhsdhdvdxbxb d

xnxnxjxm

xnxhnxmx

djjdnd.d

d

d

djnm.d0

Answer 2

The likely demand is 39.25, when the price is 20

Given:

Price =       10  12  13  12 16  15

Demand = 40 38 43 45 37 43

To find:

The two regression equation of x on y and y on x

Solution:

Evaluate the Regression equation

The table is shown below

from the table,

Firstly, Calculate the regression equation of X on Y

As we know the formula

⇒$X-\bar{X} &=r \frac{\sigma_{X}}{\sigma_{y}}(Y-\bar{Y})$

⇒$\bar{X} &=\frac{78}{6}=13, \bar{Y}=\frac{246}{6}=41$

⇒$b_{x y} &=r \frac{\sigma_{X}}{\sigma_{y}}$

      $=\frac{\Sigma x y}{\Sigma y^{2}} =\frac{-6}{50}$

⇒$b_{xy} =-0.12$

⇒$X-13 &=-0.12(\mathrm{Y}-41)$

⇒$\mathrm{X}-13 &=-0.12 \mathrm{Y}+4.92$

⇒$\mathrm{X} &=-0.12 \mathrm{Y}+17.92$

Similarly, Calculate the regression equation of X on Y

As we know the formula

⇒$\mathrm{Y}-\bar{Y} &=r \frac{\sigma_{y}}{\sigma_{x}}(X-\bar{X})$

⇒ $b_{y x} &=r \frac{\sigma_{y}}{\sigma_{x}}$

          $=\frac{\Sigma x y}{\Sigma x^{2}}=-\frac{6}{24}$

⇒ $b_{yx} =-0.25$

$Y-41 &=-0.25(X-13)$

$Y-41 &=-0.25 \mathrm{X}+3.25$

$Y &=-0.25 \mathrm{X}+44.25$

The likely demand when the price is 20 i.e.,

X will turn 20 then Y is.

           = –0.25 (20)+44.25

           = –5+44.25

           = 39.25

Therefore, the likely demand is 39.25, when the price is 20

#SPJ2