A regression model is desired relating temperature and the proportion of impurities passing through solid helium. Temperature is listed in degrees centigrade. The d are shown in Table 1. Table 1: Proportion of impurities at various temperature Temperature, Proportion of (C) Impurities -260 5 0 425

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1 Aregression model is desired relating temperature and the proportion of impurities
passing through solid helium. Temperature is listed in degrees centigrade. The data
are shown in Table 1.
Table 1: Proportion of impurities at various temperature
Temperature, Proportion of
(C)
Impurities
-260.5
0.425
-255.7
0.224
-264.6
0.453
-265.0
0.475
-270.0
0.705
-272.0
0.860
-272.5
0.935
-272.6
0.961
-272.8
0.979
-272.9
0.990
(a) Fit a linear regression model.
(b) Does it appear that the proportion of impurities passing through helium
increases as the temperature approaches –273 degrees centigrade?
(c) Does temperature has a significant influence on proportion of impurities
passing through the solid helium? Use Họ: B1 = 0 versus H1: B1 + 0.
(d) Based on the information above, does the linear model seem appropriate?
Support your answer with appropriate additional information.
Transcribed Image Text:1 Aregression model is desired relating temperature and the proportion of impurities passing through solid helium. Temperature is listed in degrees centigrade. The data are shown in Table 1. Table 1: Proportion of impurities at various temperature Temperature, Proportion of (C) Impurities -260.5 0.425 -255.7 0.224 -264.6 0.453 -265.0 0.475 -270.0 0.705 -272.0 0.860 -272.5 0.935 -272.6 0.961 -272.8 0.979 -272.9 0.990 (a) Fit a linear regression model. (b) Does it appear that the proportion of impurities passing through helium increases as the temperature approaches –273 degrees centigrade? (c) Does temperature has a significant influence on proportion of impurities passing through the solid helium? Use Họ: B1 = 0 versus H1: B1 + 0. (d) Based on the information above, does the linear model seem appropriate? Support your answer with appropriate additional information.
J Murdoch and JA Barnes
Statistical Tables
for Science. Engineering.
Management and Business Studies
Third edition
1-(u)
Revised and Expanded
Statistical Tables
for Science, Engineering,
Management and
Business Studies
J. Murdoch
B., A.R.T.C., A.M.LProd.E.
De f Manment
Selence Sden
J.A.Barnes B.., AR.CS.
Senie lerer
Thn
Arred and expanded
Maagrm Scienc Srude
Cunf unf Teckk
Transcribed Image Text:J Murdoch and JA Barnes Statistical Tables for Science. Engineering. Management and Business Studies Third edition 1-(u) Revised and Expanded Statistical Tables for Science, Engineering, Management and Business Studies J. Murdoch B., A.R.T.C., A.M.LProd.E. De f Manment Selence Sden J.A.Barnes B.., AR.CS. Senie lerer Thn Arred and expanded Maagrm Scienc Srude Cunf unf Teckk
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