Question

Number of customers in millions	Energy Consumption in GWh
1.363138	22416
1.389033	23138
1.417664	24042
1.448548	24795
1.480294	25845

Using the linear regression equation make a prediction what the Gigawatt hours will be equal to when the number of customers reach ten (10) million.

Linear regression equation:

Where,

x and y are the variables

b = The slope of the regression line

a = The intercept point of the regression line and the y axis.

N = Number of values or elements

X = Measured Values

Y = Calculated Values

ΣXY = Sum of the product of Measured Values and Calculated Values

ΣX = Sum of Measured Values

ΣY = Sum of Calculated Values

ΣX2 = Sum of square Measured Values

Note: to make your prediction calculate ‘b’ then find the value of ‘y’ by substituting the value of ‘x’ as ten (10) million

Answer 1

The regression line is given by:

The estimate of slope is given by:

Hence, the required regression equation is given by:

We are to find the value for Y for

Putting in the values, we get,

Hence, the predicted value of Gigawatt hours is 272757.78 when the number of customers reach ten (10) million.

I hope this clarifies your doubt. If you're satisfied with the solution, hit the Like button. For further clarification, comment below. Thank You. :)