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. 21 185.79 Feb. 24 214.47 Mar. 32 288.03 Apr. 47 424.84 May 50 454.58 June 59 539.03 July 68 621.55 Aug 74 675.06 Sept. 62 562.03 Oc. 50 452.93 Nov. 41 369.95 Dec. 30 273.98 (a) Test for significance of regression using a = 0.01 What is the P-value for this test? State the conclusions that result from this test. The model ata = 0.01. P-value 0.000001. (b) Estimate the standard errors of the slope and intercept Round your answer to three decimal places (e.g. 98.765) se( B 1) = 1 Round your answer to two decimal places (eg 98.76) se( Bo) = 1
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. 21 185.79 Feb. 24 214.47 Mar. 32 288.03 Apr. 47 424.84 May 50 454.58 June 59 539.03 July 68 621.55 Aug 74 675.06 Sept. 62 562.03 Oc. 50 452.93 Nov. 41 369.95 Dec. 30 273.98 (a) Test for significance of regression using a = 0.01 What is the P-value for this test? State the conclusions that result from this test. The model ata = 0.01. P-value 0.000001. (b) Estimate the standard errors of the slope and intercept Round your answer to three decimal places (e.g. 98.765) se( B 1) = 1 Round your answer to two decimal places (eg 98.76) se( Bo) = 1
Chapter4: Linear Functions
Section: Chapter Questions
Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.
Related questions
Question
Transcribed Image Text:(e) Test the hypothesis Ho : B1 = 10 versus H1 :ß, # 10 using a = 0.01.
Ho and conclude the slope
v 10 at a = 0.01.
(d) Test the hypothesis Ho : Bo = 0 versus H1 : Bo + 0 using a = 0.01.
Ho and conclude that the intercept
be included in the model.
Transcribed Image Text: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.
21
185.79
Feb.
24
214.47
Mar.
32
288.03
Apr.
47
424.84
May
50
454.58
June
59
539.03
July
68
621.55
Aug
74
675.06
Sept.
62
562.03
Ot.
50
452.93
Nov.
41
369.95
Dec.
30
273.98
(a) Test for significance of regression using a = 0.01. What is the P-value for this test? State the conclusions that result from this
test.
The model
at a = 0.01. P-value
0.000001.
(b) Estimate the standard errors of the slope and intercept.
Round your answer to three decimal places (e.g. 98.765)
se( B 1) = 1
Round your answer to two decimal places (e.g. 98.76)
se ( Bo) = 1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage