Business statistics - II

regression analysis which confines it self to study of only two variables is called ____________

• regressor

• predictor

• regression

• dependent

X-x̄ = ​ ​​ (a)   (Y-Y) x on y

y on x is ​ (b)   (x-x̄)

• ᵣσx/σy

Arithmetic mean is 36 of x and y is 85 Standard deviation 11 of x and y is 8. Correlation is 0.66 find X on Y?

• x = 0.9075 , Y is -41.1375

• X = 0.365 y = 22.48

• x = 13.88 y = 17.5

To calulate stright line trend method

• production and x Value

• x²

• year

• x

• x value

• year

• x²

• xy

• production

• y

Match the following

• weighted moving average

• 1+2+3+5/4

• least square

• Yc = a+bx

• 4 yr moving average

• (3x1)+(3x2)+(4x1)

• semi Average

• 2+4+5+3

• 3 yr moving average

• 2+3+1

draw free hand trend line

year : 1 , 2 , 3

production : 100 , 120, 130

A= ΣY/N B=​ (a)   so Yc = ​ (b)   ​

• a+bx

year : 1982, 1983, 1984

Production : 77, 88, 94

find lease square method

Answer explanation

a = 86.33

b = 8.5

Yc = 86.33+8.5x

y = 45+2.5x year origin is 1996 to 1999 find straight line

• y_c = 52.5+2.5x

• y_c = 62.5+2.5x

• y_c = 53.5+2.5x

• y_c = 50.5+2.5x

estimate the value for 1980

y=45+2.5x year of origin is 1996 to 1999 so ​ (a)   +2.5x

• 52.5
• 42.9
• 53.5

Answer explanation

2.5(x+3)