A biologist Is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. (Please refer to the photos attached) A. Find correlation coefficient (r), correct to 4 decimal places. B. Is there a linear correlation between these results? (Show scatter diagram) C. Determine the equation of regressuon line of caloric intake or body mass, expressing the alope and y- intercept. (Plot the estimated regression line on the scatter diagram) D. Estimate the caloric intake when the body mass is 4.8kg. (Show graph)
A biologist Is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. (Please refer to the photos attached) A. Find correlation coefficient (r), correct to 4 decimal places. B. Is there a linear correlation between these results? (Show scatter diagram) C. Determine the equation of regressuon line of caloric intake or body mass, expressing the alope and y- intercept. (Plot the estimated regression line on the scatter diagram) D. Estimate the caloric intake when the body mass is 4.8kg. (Show graph)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A biologist is studying field mice particularly if there is
a relationship between the caloric intake of a rat and
its body mass. The caloric intake of rats varies with
body mass as shown below.
(Please refer to the photos attached)
A. Find correlation coefficient (r), correct to 4 decimal
places.
B. Is there a linear correlation between these results?
(Show scatter diagram)
C. Determine the equation of regressuon line of caloric
intake or body mass, expressing the alope and y-
intercept. (Plot the estimated regression line on the
scatter diagram)
D. Estimate the caloric intake when the body mass is
4.8kg. (Show graph)
2. LINEAR CORRELATION & LINEAR REGRESSION PROBLEM
A biologist is studying field mice particularly if there is a relationship
between the caloric intake of a rat and its body mass. The caloric intake of
rats varies with body mass as shown below.
Body Mass kg (X)
3.4 3.6 4.6 5
| 7 8 8.5 9| 10
2
6
Caloric Intake, cal h-1 (Y) 1.5 2.1 3.2 3.6 3.6 3.9 4.1 4.2 4.5 4.6 5.9
A. Find correlation coefficient (r), correct to 4 decimal places.
B. Is there a linear correlation between these results? (Show the scatter diagram.)
C. Determine the equation of the regression line of caloric intake or body mass, expressing
the slope and y-intercept. (Plot the estimated regression line on the scatter diagram.)
D. Estimate the caloric intake when the body mass is 4.8 kg. (Show graph.)
XY
X^2
YA2
1.5
3
4
2.25
3.4
2.1
7.14
11.56
441
3.6
3.2
11.52
12.96
10.24
4.6
3.6
16.56
21.16
12.96
5
3.6
18
25
12.96
3.9
23.4
36
15.21
4.1
28.7
49
16.81
8.
4.2
33.6
64
17.64
8.5
4.5
38.25
72.25
20.25
4.6
41.4
81
21.16
10
5.9
59
100
34.81
I- 67.1
E- 41.2
E= 280.57
Σ.476.93
Σ. 168.7
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