Energy Consumption: A sample of ten households was monitored for one year. The household income (in$1000s) and the amount of energy consumed (1010 joules) were determined. The results follow.Income Energy Income Energya.3140284819516.040.2InterceptIncome29.845.6184.6Multiple RR SquareAdjusted R SquareStandard ErrorObservations96701001457898.393.8The following output was obtained after performing regression analysis in Excel:Regression Statistics77.1114.867.0c. Interpret the value of the slope.0.95984720.921306650.9114699814.75443410coefficientsstd. error4.1659 8.9409310.888239 0.091781 9.677832 0.00000522134t (df-8)0.325169p-valueLower 95%0.753394 -17.7105120.675Give the value of the correlation coefficient and interpret its meaning.Upper 95%23.5251361.095b. Compute the least-squares regression line for predicting energy consumption () from income (x).d. Predict the amount of energy consumption for a household with an income of $150,000. Round to the nearesttenth. e. What is the 95% confidence interval for the slope. You do not have to interpret the results.f. Construct a 99% confidence interval for the slope. You do not have to interpret the results.g- Test Ho: P₁ = 0 versus H₁: B₁ > 0. Can you conclude that income is useful in predicting energy consumption?Use the a = 0.05 level of significance.Is this a left-tailed test, a right-tailed test, or a two-tailed test?ii.iii.iv.V.What is the value of the test statistic? Do not round.Identify the p-value for this procedure. Do not round.Using the p-value method, should Ho be rejected at the a = 0.05 level of significance? Why or why not?Can you conclude that income is useful in predicting energy consumption?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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