1. Consumption of Natural Case:Average HourlyTemperature,x (°F)Natural GasConsumption,у (МMc)Week128.012.4228.011.7332.512.4439.010.8545.99.457.89.558.18.0862.57.5Above we give the average hourly outdoor temperature (x) in a city during a week and the city's naturalgas consumption (y) during the week for each of eight weeks (the temperature readings are expressed indegrees Fahrenheit and the natural gas consumptions are expressed in millions of cubic feet of naturalgas-denoted MMcf). The output to the right of the data is obtained when Excel is used to fit a leastsquares line to the natural gas consumption data.a (1) Find the least squares point estimates b,and b, on the computer output and report theirvalues. (2) Interpret b, and b,. (3) Is an averagehourly temperature of 0°F in the experimentalregion? (4) What does this say about theinterpretation of bo?

Regression are used to predict the future value. Each regression line has two parameters, they are…

Answered: 1. Consumption of Natural Case: Average…

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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Week Labour, (hr) Pounds Shipped (1,000s) Percentage of Units Shipped by Truck Average Shipment Weight (lb) y x1 x2 x3 1 100 5,1 90 20 2 85 3,8 99 22 3 108 5,3 58 19 4 116 7,5 16 15 5 92 4,5 54 20 6 63 3,3 42 26 7 79 5,3 12 25 8 101 5,9 32 21 9 88 4 56 24 10 71 4,2 64 29 11 122 6,8 78 10 12 85 3,9 90 30 13 50 3,8 74 28 14 114 7,5 89 14 15 104 4,5 90 21 16 111 6 40 20 17 110 8,1 55 16 18 100 2,9 64 19 19 82 4 35 23 20 85 4,8 58 25 Estimate the relationship between Labour (y) and Pounds Shipped (x1), using OLS; that is, obtained the intercept and slope estimates in the equation ? = ?0 + ?1?1 + ? and How much higher will the labour predicted to be if the Pounds Shipped, is increased by 15 000
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Source Value Std Err P value Intercept 26272.327 674.907 38.927 <0.0001 BA 35451.244 580.632 61.056 <0.0001 Female -17064.762 495.537 -34.437 <0.0001 FemalexBA -10509.614 824.520 -12.746 <0.0001 Age 533.753 14.074 37.925 <0.0001 Hours -1.698 0.878 -1.934 0.061 In an attempt to evaluate the difference in the impact of a degree on income by gender a researcher filters their data down to just individuals with a High School Diploma or a Bachelors Degree and gets the results shown above. a. How much does a Bachelors Degree increase the income for a woman? b. How much is the difference in the impact of a Bachelors Degree for women compared with men? c. What would the income be for a 52 year old male with a Bachelors Degree, who works an average of 50 hours a week?
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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Location 1 2 3 4 55 6 7 00 8 9 10 Zinc concentration in bottom water in surface water Zinc concentration 430 .266 567 531 .707 .716 .651 .589 .469 .723 415 238 .390 .410 .605 .609 .632 .523 .411 .612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha 1- μ2, where ₁ is the population mean zinc concentration in the bottom of water and H2 is the mean zinc concentration in the surface of water. Ho: Select an…
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