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Water Consumptions Purpose Summary

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Between 1981 and 1991, water use in Canada increased for some purposes and decreased for others. The following table provides a summary.

Water consumption(millions of m cubed)
category of use 1981 1986 1991

agriculture 3 125 3 559 3 991
mining 648 593 363
manufacturing 9 937 7 984 7 282
thermal power 19 281 25 364 28 357
municipal 4 263 4 717 5 102
other 3 892 4 279 5 367
total 41 146 46 496 50 462

How do i use linear models to predict water consumption in 1999, by category and total??

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Solution Summary

A linear models to predict water consumption in 1999 by category and totals are determined.

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I cant figure out the equation, i need to get answers to graph.
________________________________________
Between 1981 and 1991, water use in Canada increased for some purposes and decreased for others. The following table provides a summary.

Water consumption(millions of m cubed)
category of use 1981 1986 1991

agriculture 3 125 3 559 3 991
mining 648 593 363
manufacturing 9 937 7 984 7 282
thermal power 19 281 25 364 28 357
municipal 4 263 4 717 5 102
other 3 892 4 279 5 367
total 41 146 46 496 50 462

How do i use linear models to predict water consumption in 1999, by category and total?

1) we predict agriculture water consumption. Use Excel, we get

SUMMARY OUTPUT

Regression Statistics
Multiple R 0.966553
R Square 0.934225
Adjusted R Square 0.86845
Standard Error 162.4828
Observations 3

ANOVA
df SS MS F Significance F
Regression 1 374978 374978 14.20335 0.165117
Residual 1 26400.67 26400.67
Total 2 401378.7

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -168496 45635.48 -3.69221 0.168383 -748350 411357.8 -748350 411357.8
X Variable 1 86.6 22.97854 3.768734 0.165117 -205.37 378.57 -205.37 378.57

The regression equation is
Y= ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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