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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
icon
Related questions
Question

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. 

Expert Solution
steps

Step by step

Solved in 8 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning