Question
In: Statistics and Probability
Second data set: L T 0.5 1.915684 0.7 1.29032 0.9 1.90683 1.1 1.840219 1.3 2.668192...
Second data set:
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For this data we do not know how T depends on L. We hope that T is proportional to some power of L. Transform data by taking Logarithms and do linear regression. Upon computing the regression round to one decimal
1.What is the slope?
2.What is R2? Use two decimals
3.Predict the value of T when L = 5.5. Use one decimal
Solutions
Expert Solution
1)
ln T^ = 0.7052 + 0.5036 ln L
slope = 0.5036
2)
R^2 = 0.8571
3)
L = 5.5
ln T^ = 0.7052 + 0.5036 ln (5.5)
= 1.5637
T^ = e^(1.5637)
= 4.7765
orchestra answered 2 years agoRelated Solutions
Consider the data set: L T 0.5 1.915684 0.7 1.29032 0.9 1.90683 1.1 1.840219 1.3...
Consider the data set:
L
T
0.5
1.915684
0.7
1.29032
0.9
1.90683
1.1
1.840219
1.3
2.668192
1.5
2.432488
1.7
2.91615
1.9
2.731426
2.1
2.659927
2.3
2.662569
2.5
2.847514
2.7
3.754418
2.9
3.675227
3.1
3.363444
3.3
3.377861
3.5
4.080403
3.7
4.38519
3.9
4.073612
4.1
4.356581
4.3
4.27699
For this data we do not know how T depends on L. We hope that T
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1.0
0.9
1.1
1.0
1.0
0.8
1.1
1.5
1.6
1.7
2.1
1.3
2017
2.5
2.7
2.4
2.2
1.9
1.6
1.7
1.9
2.2
2.0
2.2
2.1
2.1
2018
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2.2
2.4
2.5
2.8
2.9
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2.7
2.3
2.5
2.2
1.9
2.4
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1.8
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