Question

The choir sells tickets to its performances for an assortment of prices and gives some tickets away. The choir

Answer 1

The least square regression equation for the information provided is y = 9.72x - 40.776

The general equation of a regression model can be expressed thus:

• y = bx + c

• Slope, b = r(Sy/Sx)

Calculating slope, b :

• b = 0.81(177.6 / 14.8) = 9.72

Plugging the values of b, y and x into the equation in other to calculate c :

696 = 9.72(75.8) + c

696 = 736.776 + c

c = 696 - 736.776

c = - 40.776

Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776

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