b. Estimate the correlation coefficient.

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APPLIED STATISTICS AND PROBABILITY FOR ENGINEERS

> CORRELATION

In an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986–990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided in
the following table.

See the attached photo

Answer the following: 

a. Graph the data and fit a regression line to predict current without electronics to supply voltage. Is there a significant regression at α = 0.05? What is the P-value?
b. Estimate the correlation coefficient.
c. Test the hypothesis that ρ = 0 against the alternative ρ ≠ 0 with α = 0.05. What is the P-value?
d. Compute a 95% confidence interval for the correlation coefficient.

Supply Voltage
0.66
1.32
1.98
2.64
3.3
3.96
4.62
3.28
5.94
6.6
Current Without Electronics (mA)
7.32
12.22
16.34
23.66
28.06
33.39
34.12
39.21
44.21
47.48
Transcribed Image Text:Supply Voltage 0.66 1.32 1.98 2.64 3.3 3.96 4.62 3.28 5.94 6.6 Current Without Electronics (mA) 7.32 12.22 16.34 23.66 28.06 33.39 34.12 39.21 44.21 47.48
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