Question

** 50 Points **
Anyone can answer this !!!​

Answer 1

Sales(x)                 Profit(y)

10                           22  

15                            12  

18                            15

20                           25  

22                           16  

25                           10  

30                           26  

35                           29

42                           40

sigma x = 10 + 15 + ..... 42 = 217.

sigma y = 22 + 12 + ..... 40 = 195 .

sigma (xy) = (10*22 + 15*12 + ... 42*40) = 5247.

sigma (x²) = 10²+15² + ... 42² = 6047

[ sigma (x) ]² = 217² = 47089

Now let us see what is regression equation.

It is of the form y = a + bx.

here a = (sigma(y)×sigma(x²)-sigma(x)×sigma(xy))/(n(sigma(x²))=(sigma(x))²)

n = 9 here

= > a = ( 195×6047 - 217×5047 ) / ( 9×6047 - 47089 )

= > a = 83966/7344

= > a = 11.449

= > a = 11.45

b = (n×sigma(xy)-sigma(x)sigma(y))/(n×sigma(x²)-(sigma(x))²)

= > ( 9×5247 - 195×217)/7344

= > 4908/7344

= > 0.668

= > 0.67

Answer:

Now put this values in regression equation :

y = 11.45 x + 0.67

[ wow ]

Answer 2

$\huge\bf{Answer:-}$

Refer the attachment.