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 Aprг. 47 424.84 May 50 454.58 June 59 539.03 July 68 621.55 Aug. 74 675.06 Sept. 62 562.03 Oct. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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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
v at a = 0.01. P-value
0.000001.
eTextbook and Media
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 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 v at a = 0.01. P-value 0.000001. eTextbook and Media
(b) Estimate the standard errors of the slope and intercept.
Round your answer to three decimal places (e.g. 98.765)
se (îi)
Round your answer to two decimal places (e.g. 98.76)
se Pa
i
eTextbook and Media
(c) Test the hypothesis Ho : B, = 10 versus H1:ß † 10 using a = 0.01.
Ho and conclude the slope
10 at α0.01.
eTextbook and Media
(d) Test the hypothesis Ho : Bo = 0 versus H :Bo # Ousing a = 0.01.
v Ho and conclude that the intercept
be included in the model.
eTextbook and Media
Transcribed Image Text:(b) Estimate the standard errors of the slope and intercept. Round your answer to three decimal places (e.g. 98.765) se (îi) Round your answer to two decimal places (e.g. 98.76) se Pa i eTextbook and Media (c) Test the hypothesis Ho : B, = 10 versus H1:ß † 10 using a = 0.01. Ho and conclude the slope 10 at α0.01. eTextbook and Media (d) Test the hypothesis Ho : Bo = 0 versus H :Bo # Ousing a = 0.01. v Ho and conclude that the intercept be included in the model. eTextbook and Media
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