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.

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