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A marketing firm is studying the affect of its advertising compaign
No of ads(x)= 5,7,4,2,0,3,1,2
No of purchases(y)= 15,18,10,4,2,6,3,6
determine the equation of regression line y=a+bx test hypothesis for slope calcualted in regression equation b=0 use 5% level of significance

Respuesta :

The equation of the regression line is given as ŷ = 2.5X + 0.5

What is a regression line?

The regression line can be defined to be the line that helps us to explain the direction and the given behavior of a set of data. The line helps us in the estimation of the true relation ship between the pair of data. This is usually seen in the form of a linear relationship. The equation helps us to estimate the behavior of the predicted variable by the way the explanatory variable behaves

How to solve for the regression line

The data used for the solution has been given as

No of ads(x)= 5,7,4,2,0,3,1,2

No of purchases(y)= 15,18,10,4,2,6,3,6

These were inputted into the regression calculator to produce the solution that we have here.

The out put from the calculation is given as

Sum of X = 24

Sum of Y = 64

Mean X = 3

Mean Y = 8

Sum of squares (SSX) = 36

Sum of products (SP) = 90

Regression Equation = ŷ = bX + a

b = SP/SSX = 90/36 = 2.5

a = MY - bMX = 8 - (2.5*3) = 0.5

ŷ = 2.5X + 0.5

Read more on regression analysis here: https://brainly.com/question/7781679

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