An article in the IEEE Transactions on Instrumentation and

Chapter , Problem 97E

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QUESTION:

An article in the IEEE Transactions on Instrumentation and Measurement [“Direct, Fast, and Accurate Measurement of VT and K of MOS Transistor Using VT-Sift Circuit” (1991, Vol. 40, pp. 951–955)] described the use of a simple linear regression model to express drain current y (in milliamperes) as a function of ground-to-source voltage x (in volts). The data are as follows:

(a) Draw a scatter diagram of these data. Does a straight-line relationship seem plausible?

(b) Fit a simple linear regression model to these data.

(c) Test for significance of regression using \(\alpha=0.05\). What is the \(P-\text { value }\) for this test?

(d) Find a \(95 \% \) confidence interval estimate on the slope.

(e) Test the hypothesis \(H_{0}: \beta_{0}=0\) versus \(H_{1}: \beta_{0} \neq 0\) using \(\alpha=0.05\). What conclusions can you draw?

Equation Transcription:

 

Text Transcription:

\alpha=0.05

P-value

95%

H0:\beta 0=0

H1:\beta 0 \neq 0

\alpha=0.05

Questions & Answers

QUESTION:

An article in the IEEE Transactions on Instrumentation and Measurement [“Direct, Fast, and Accurate Measurement of VT and K of MOS Transistor Using VT-Sift Circuit” (1991, Vol. 40, pp. 951–955)] described the use of a simple linear regression model to express drain current y (in milliamperes) as a function of ground-to-source voltage x (in volts). The data are as follows:

(a) Draw a scatter diagram of these data. Does a straight-line relationship seem plausible?

(b) Fit a simple linear regression model to these data.

(c) Test for significance of regression using \(\alpha=0.05\). What is the \(P-\text { value }\) for this test?

(d) Find a \(95 \% \) confidence interval estimate on the slope.

(e) Test the hypothesis \(H_{0}: \beta_{0}=0\) versus \(H_{1}: \beta_{0} \neq 0\) using \(\alpha=0.05\). What conclusions can you draw?

Equation Transcription:

 

Text Transcription:

\alpha=0.05

P-value

95%

H0:\beta 0=0

H1:\beta 0 \neq 0

\alpha=0.05

ANSWER:

Problem 97SE

An article in the IEEE Transactions on Instrumentation and Measurement [“Direct, Fast, and Accurate Measurement of VT and K of MOS Transistor Using VT-Sift Circuit” (1991, Vol. 40, pp. 951–955)] described the use of a simple linear regression model to express drain current y (in milliamperes) as a function of ground-to-source voltage x (in volts). The data are as follows:

(a) Draw a scatter diagram of these data. Does a straight-line relationship seem plausible?

(b) Fit a simple linear regression model to these data.

(c) Test for significance of regression using . What is the P-value for this test?

(d) Find a 95% confidence interval estimate on the slope.

(e) Test the hypothesis  versus  using . What conclusions can you draw?

                                                              Step by step solution

Step 1 of 5

a)

Construct scatter plot by using Minitab for the given data by using Minitab as follows:

Instructions:

*  Enter data into Minitab worksheet

*  Go to Graph  Scatter plot ...   Simple

*  Enter Y and X variables, click OK.

The resultant scatter plot is as shown below:

From the above plot, one can conclude that the data is perfectly positive correlated.

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