What is the value of the coefficient of determination (R²) for the inverse linear model applied to the data above?

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You need to create a model for the thermal conductivity k of Aluminum Oxide as a
function of temperature T (see data below).
Temperature
(K)
Thermal
Conductivity
(W/m.K)
0.392
A coworker suggests you use an inverse linear curve-fit
k = a+br
What is the value of the coefficient of determination (R²) for the inverse linear
model applied to the data above?
Be sure to appropriately linearize the model before calculating the optimal coefficient values.
O 0.709
O 0.793
O 0.971
100 200 300 400 600 800 1,000
O 0.999
450 82.0 46.0 32.4 18.9 13.0 10.5
Transcribed Image Text:You need to create a model for the thermal conductivity k of Aluminum Oxide as a function of temperature T (see data below). Temperature (K) Thermal Conductivity (W/m.K) 0.392 A coworker suggests you use an inverse linear curve-fit k = a+br What is the value of the coefficient of determination (R²) for the inverse linear model applied to the data above? Be sure to appropriately linearize the model before calculating the optimal coefficient values. O 0.709 O 0.793 O 0.971 100 200 300 400 600 800 1,000 O 0.999 450 82.0 46.0 32.4 18.9 13.0 10.5
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