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suppose the mean daily peak power load ( y) for a power plant and the maximum outdoor temperature (x) for a sample of 6 days is as given in the ff. tablex y95 21482 15290 15681 12999 254100 266find the peak power load when the max. temperature is 84.

Answer :

FICHOHGO

The predicted value of peak power load when maximum temperature is 84 using a linear regression model is 148

Given the table :

  • X __ 95 __ 82 __ 90 __ 81 ___ 99 __ 100
  • Y __ 214 _ 152 __ 156 __ 129 _ 254 _ 266

Using technology, such as Excel or a linear regression calculator, we could obtain the linear equation model of the data in the form ;

  • y = bx + c

  • y = Predicted power load
  • x = maximum temperature
  • b = slope
  • c = intercept

Using a regression calculator, The regression model obtained is :

y = 6.630x - 409.228

Using the model equation ; the peak power load when maximum temperature is 84 can be calculated thus :

Substitute x = 84 into the equation

y = 6.630(84) - 409.228

y = 147.692

y = 148 (nearest whole number)

Therefore, the predicted peak power for when maximum temperature is 84 will be 148

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