Answered: A biologist is studying field mice…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

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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 baries with body mass as shown below. (Please refer to the photos attached for the table) A. Find the 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 4.8kg. (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)
2
3.4
3.6
4.6
5
6
7
8
8.5
9
10
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.)

X
Y
XY
X^2
Y^2
2
1.5
3
2.25
3.4
2.1
7.14
11.56
4.41
3.6
3.2
11.52
12.96
10.24
4.6
3.6
16.56
21.16
12.96
3.6
18
25
12.96
3.9
23.4
36
15.21
7
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
Σ= 67.1
Σ= 41.2
E = 280.57
E = 476.93
Σ- 168.7

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