3. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past year's usage and temperatures are in the following table: Month Temp. Usage/1000 Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. 21 24 32 47 50 59 68 74 62 50 41 30 185.79 214.47 288.03 424.84 454.58 539.03 621.55 675.06 562.03 452.93 369.95 273.98 Assuming that a simple linear regression model is appropriate, fit the regression model relating steam usage (y) to the average temperature (x). (a) Find a 99% confidence interval for B₁. (b) Find a 99% confidence interval for B. (c) Find a 95% confidence interval on mean steam usage when the ave is 51°F. (d) Find a 95% prediction interval on steam usage when the temperature is 51°F. perat
3. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past year's usage and temperatures are in the following table: Month Temp. Usage/1000 Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. 21 24 32 47 50 59 68 74 62 50 41 30 185.79 214.47 288.03 424.84 454.58 539.03 621.55 675.06 562.03 452.93 369.95 273.98 Assuming that a simple linear regression model is appropriate, fit the regression model relating steam usage (y) to the average temperature (x). (a) Find a 99% confidence interval for B₁. (b) Find a 99% confidence interval for B. (c) Find a 95% confidence interval on mean steam usage when the ave is 51°F. (d) Find a 95% prediction interval on steam usage when the temperature is 51°F. perat
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Related questions
Question
![3. The number of pounds of steam used per month by a chemical plant is thought to be
related to the average ambient temperature (in °F) for that month. The past year's
usage and temperatures are in the following table:
Month Temp. Usage/1000
Jan.
Feb.
Mar.
21
Dec.
24
32
Apr.
May
June
July
Aug.
74
Sept. 62
Oct.
Nov.
47
50
59
68
50
41
30
185.79
214.47
288.03
424.84
454.58
539.03
621.55
675.06
562.03
452.93
369.95
273.98
Assuming that a simple linear regression model is appropriate, fit the regression model
relating steam usage (y) to the average temperature (x).
(a) Find a 99% confidence interval for B₁.
(b) Find a 99% confidence interval for B.
(c) Find a 95% confidence interval on mean steam usage when the average temperature
is 51°F.
(d) Find a 95% prediction interval on steam usage when the temperature is 51°F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F413df1c4-a14c-40a8-aa75-92b682372109%2Fwup65sv_processed.png&w=3840&q=75)
Transcribed Image Text:3. The number of pounds of steam used per month by a chemical plant is thought to be
related to the average ambient temperature (in °F) for that month. The past year's
usage and temperatures are in the following table:
Month Temp. Usage/1000
Jan.
Feb.
Mar.
21
Dec.
24
32
Apr.
May
June
July
Aug.
74
Sept. 62
Oct.
Nov.
47
50
59
68
50
41
30
185.79
214.47
288.03
424.84
454.58
539.03
621.55
675.06
562.03
452.93
369.95
273.98
Assuming that a simple linear regression model is appropriate, fit the regression model
relating steam usage (y) to the average temperature (x).
(a) Find a 99% confidence interval for B₁.
(b) Find a 99% confidence interval for B.
(c) Find a 95% confidence interval on mean steam usage when the average temperature
is 51°F.
(d) Find a 95% prediction interval on steam usage when the temperature is 51°F.
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