Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Question
Chapter 5.4, Problem 47E
a.
To determine
Draw a
b.
To determine
Fit a least-squares regression line to the data.
Construct a residual plot for the model.
Explain whether the residual plot supports the conclusion in Part a.
c.
To determine
Justify whether the transformation
d.
To determine
Find the least-squares regression line between y and the transformation recommended in the previous part.
e.
To determine
Predict the success for an energy shock 1.75 times the threshold.
Predict the success for an energy shock 0.8 times the threshold.
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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 Table.
Current Without Electronics
(mA)
Supply Voltage
0.66
7.32
1.32
12.22
1.98
16.34
2.64
23.66
3.3
28.06
3.96
33.39
4.62
34.12
3.28
39.21
5.94
44.21
6.6
47.48
(a) Fit a regression line to predict current without electronics to supply voltage. Is
there a significant regression at a = 0.05? What is the P-value?
(b) Estimate the correlation coefficient.
(c) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is
the P-value?
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 Table.
Current Without Electronics
(mA)
Supply Voltage
0.66
7.32
1.32
12.22
1.98
16.34
2.64
23.66
3.3
28.06
3.96
33.39
4.62
34.12
3.28
39.21
5.94
44.21
6.6
47.48
(a) Estimate the correlation coefficient.
(b) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is
the P-value?
(c) Compute a 95% confidence interval for the correlation coefficient.
PLS ANSWER
Chapter 5 Solutions
Introduction to Statistics and Data Analysis
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