1. Consumption of Natural Case: Average Hourly Temperature, x (°F) Natural Gas Consumption, y (MMcf) Week 1 28.0 12.4 2 28.0 11.7 3 32.5 12.4 4 39.0 10.8 5 45.9 9.4 57.8 9.5 58.1 8.0 8 62.5 7.5 Above we give the average hourly outdoor temperature (x) in a city during a week and the city's natural gas consumption (y) during the week for each of eight weeks (the temperature readings are expressed in degrees Fahrenheit and the natural gas consumptions are expressed in millions of cubic feet of natural gas-denoted MMcf). The output to the right of the data is obtained when Excel is used to fit a least squares line to the natural gas consumption data. a (1) Find the least squares point estimates b, and b, on the computer output and report their values. (2) Interpret b, and b1. (3) Is an average hourly temperature of 0°F in the experimental region? (4) What does this say about the interpretation of b,? b Usc the facts that SS, = -179.6475; SS, 1,404.355; y = 10.2125; and I = 43.98 to hand calculate (within rounding) b, and b,. c Use the least squares line to compute a point estimate of the mean natural gas consumption for all weeks having an average hourly temperature of 40°F and compute a point prediction of the natural gas consumption for an individual week having an average hourly temperature of 40°F. d. Make a complete analysis and conclusion.
1. Consumption of Natural Case: Average Hourly Temperature, x (°F) Natural Gas Consumption, y (MMcf) Week 1 28.0 12.4 2 28.0 11.7 3 32.5 12.4 4 39.0 10.8 5 45.9 9.4 57.8 9.5 58.1 8.0 8 62.5 7.5 Above we give the average hourly outdoor temperature (x) in a city during a week and the city's natural gas consumption (y) during the week for each of eight weeks (the temperature readings are expressed in degrees Fahrenheit and the natural gas consumptions are expressed in millions of cubic feet of natural gas-denoted MMcf). The output to the right of the data is obtained when Excel is used to fit a least squares line to the natural gas consumption data. a (1) Find the least squares point estimates b, and b, on the computer output and report their values. (2) Interpret b, and b1. (3) Is an average hourly temperature of 0°F in the experimental region? (4) What does this say about the interpretation of b,? b Usc the facts that SS, = -179.6475; SS, 1,404.355; y = 10.2125; and I = 43.98 to hand calculate (within rounding) b, and b,. c Use the least squares line to compute a point estimate of the mean natural gas consumption for all weeks having an average hourly temperature of 40°F and compute a point prediction of the natural gas consumption for an individual week having an average hourly temperature of 40°F. d. Make a complete analysis and conclusion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
letter d if possible
Transcribed Image Text:1. Consumption of Natural Case:
Average Hourly
Temperature,
x (°F)
Natural Gas
Consumption,
у (МMc)
Week
1
28.0
12.4
2
28.0
11.7
3
32.5
12.4
4
39.0
10.8
5
45.9
9.4
57.8
9.5
7
58.1
8.0
8
62.5
7.5
Above we give the average hourly outdoor temperature (x) in a city during a week and the city's natural
gas consumption (v) during the week for each of eight weeks (the temperature readings are expressed in
degrees Fahrenheit and the natural gas consumptions are expressed in millions of cubic feet of natural
gas-denoted MMCF). The output to the right of the data is obtained when Excel is used to fit a least
squares line to the natural gas consumption data.
a (1) Find the least squares point estimates b,
and b, on the computer output and report their
values. (2) Interpret bo and b. (3) Is an average
hourly temperature of 0°F in the experimental
region? (4) What does this say about the
interpretation of b,?
b Use the facts that SS,
1,404.355; y = 10.2125; and F = 43.98 to
hand calculate (within rounding) b, and b,.
- 179.6475; SS
c Use the least squares line to compute a point
estimate of the mean natural gas consumption for
all weeks having an average hourly temperature
of 40°F and compute a point prediction of the
natural gas consumption for an individual week
having an average hourly temperature of 40°F.
d. Make a complete analysis and conclusion.
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