Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The errorin the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. Theunits of resistivity are u Ncm .Carry out a regression analysis for resistivity as a function of temperature.Temperature Resistivity3005.54Include a scatterplot showing the residuals vs temperature.4007.95Do the regression assumptions appear to be valid?50011.0060012.28Include a scatterplot showing the raw data points as black circles as well as acontinuous blue line representing the regression model.70015.9580018.46Find the lower and upper limits for a 99% confidence interval for the slope of theregression model. Add a pair of red lines to the scatterplot: both passing through thecentroid of the data, one having the slope corresponding to the lower bound of theconfidence interval, and the other having the slope corresponding to the upper boundof the confidence interval.90020.47100023.50110026.71120028.65130032.10Add vertical error bars to the blue line representing the regression model representingthe top and bottom of the 99% confidence interval of the regression mean response foreach input temperature. You will need the two-tailed t-statistic with n-2 degrees offreedom, the standard error of the regression, Sy, and the sum of the squaredtemperature deviations, Sxx. Recall that the confidence interval is given by140034.82150037.40160040.811170042.36´known— тх + btcrityS.180045.79XX190047.97Compare the two ways of bounding the regression model: using the confidenceinterval for the slope, and using the confidence interval for the mean responses.200051.56If a new measurement will be made at a temperature of 300°K, what is the 99% prediction interval for that newmeasurement?

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Description: Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The errorin the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. Theunits

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Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The error in the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. The units of resistivity are u Ncm . Carry out a regression analysis for resistivity as a function of temperature. Temperature Resistivity 300 5.54 Include a scatterplot showing the residuals vs temperature. 400 7.95 Do the regression assumptions appear to be valid? 500 11.00

Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The error in the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. The units of resistivity are u Ncm . Carry out a regression analysis for resistivity as a function of temperature. Temperature Resistivity 300 5.54 Include a scatterplot showing the residuals vs temperature. 400 7.95 Do the regression assumptions appear to be valid? 500 11.00

MATLAB: An Introduction with Applications

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Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The error
in the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. The
units of resistivity are u Ncm .
Carry out a regression analysis for resistivity as a function of temperature.
Temperature Resistivity
300
5.54
Include a scatterplot showing the residuals vs temperature.
400
7.95
Do the regression assumptions appear to be valid?
500
11.00
600
12.28
Include a scatterplot showing the raw data points as black circles as well as a
continuous blue line representing the regression model.
700
15.95
800
18.46
Find the lower and upper limits for a 99% confidence interval for the slope of the
regression model. Add a pair of red lines to the scatterplot: both passing through the
centroid of the data, one having the slope corresponding to the lower bound of the
confidence interval, and the other having the slope corresponding to the upper bound
of the confidence interval.
900
20.47
1000
23.50
1100
26.71
1200
28.65
1300
32.10
Add vertical error bars to the blue line representing the regression model representing
the top and bottom of the 99% confidence interval of the regression mean response for
each input temperature. You will need the two-tailed t-statistic with n-2 degrees of
freedom, the standard error of the regression, Sy, and the sum of the squared
temperature deviations, Sxx. Recall that the confidence interval is given by
1400
34.82
1500
37.40
1600
40.81
1
1700
42.36
´known
— тх + bt
crit
y
S.
1800
45.79
XX
1900
47.97
Compare the two ways of bounding the regression model: using the confidence
interval for the slope, and using the confidence interval for the mean responses.
2000
51.56
If a new measurement will be made at a temperature of 300°K, what is the 99% prediction interval for that new
measurement?

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