A regression model is desired relating temperature and the proportion of impurities passing through solid helium. Temperature is listed in degrees centigrade. The data are as follows: Temperature (°C) -260.5 -255.7 -264.6 -265.0 -270.0 -272.0 -272.5 -272.6 -272.8 -272.9 Proportion of Impurities 0.425 0.224 0.453 0.475 0.705 0.860 0.935 0.961 0.979 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) Find R². (d) Based on the information above, does the linear model seem appropriate? What additional information would you need to better answer that question?

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A regression model is desired relating temperature and the
proportion of impurities passing through solid helium.
Temperature is listed in degrees centigrade. The data are as
follows:
Temperature (°C)
-260.5
-255.7
-264.6
-265.0
-270.0
-272.0
-272.5
-272.6
-272.8
-272.9
Proportion of Impurities
0.425
0.224
0.453
0.475
0.705
0.860
0.935
0.961
0.979
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) Find R².
(d) Based on the information above, does the linear model seem
appropriate? What additional information would you need to
better answer that question?
Transcribed Image Text:A regression model is desired relating temperature and the proportion of impurities passing through solid helium. Temperature is listed in degrees centigrade. The data are as follows: Temperature (°C) -260.5 -255.7 -264.6 -265.0 -270.0 -272.0 -272.5 -272.6 -272.8 -272.9 Proportion of Impurities 0.425 0.224 0.453 0.475 0.705 0.860 0.935 0.961 0.979 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) Find R². (d) Based on the information above, does the linear model seem appropriate? What additional information would you need to better answer that question?
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