The following pairs of observations tell the result of the laboratory experiment y and the temperature x at which the laboratory experiment was carried out. Observations as following: i    xi    yi    i    xi    yi 1    100    45    7    150    69 2    110    51    8    160    74 3    120    54    9    170    78 4    125    53    10    180    86 5    130    59    11    190    89 6    140    63    12    200    94   So the question regarding the table above would be (a) Draw a scatter diagram of the table.  (b) Visually draw a line that fits the data (in table) as well as possible. (c) Fit a linear model to the data, i.e. estimate the PNS estimates of the regression line. Compare the regression line you get with the one you drew in (b) (ie compare the slopes/intercepts). (d) Predict the result of the laboratory experiment when the experiment is performed at a temperature of 185. R software or other software for linear regressions should not be used to solve this.

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ISBN:9781119256830
Author:Amos Gilat
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The following pairs of observations tell the result of the laboratory experiment y
and the temperature x at which the laboratory experiment was carried out.

Observations as following:

i    xi    yi    i    xi    yi
1    100    45    7    150    69
2    110    51    8    160    74
3    120    54    9    170    78
4    125    53    10    180    86
5    130    59    11    190    89
6    140    63    12    200    94
 

So the question regarding the table above would be

(a) Draw a scatter diagram of the table. 

(b) Visually draw a line that fits the data (in table) as well as possible.
(c) Fit a linear model to the data, i.e. estimate the PNS estimates of the regression line. Compare the regression line you get with the one you drew in (b) (ie compare the slopes/intercepts).
(d) Predict the result of the laboratory experiment when the experiment is performed at a temperature of 185.

R software or other software for linear regressions should not be used to solve this. 

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