Northern flying squirrels eat lichen and fungi, which makes for a relatively low quality diet. The authors of the paper "Nutritional Value and Diet Preference of Arboreal Lichens and Hypogeous Fungi for Small Mammals in the Rocky Mountains"+ measured nitrogen intake and nitrogen retention in six flying squirrels that were fed the fungus Rhizopogon. Data read from a graph that appeared in the paper are given in the table below. (The negative value for nitrogen retention for the first squirrel represents a net loss in nitrogen.) Nitrogen Intake, x (grams) 0.03 0.10 0.07 0.06 0.07 0.25 (a) Construct a scatterplot of these data. y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 Nitrogen Retention, y (grams) -0.04 0.00 0.01 0.01 0.04 0.11 0.05 0.10 0.15 0.20 0.25 9 .. 0.05 0.10 0.15 0.20 0.25 X X y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 0.05 0.10 0.15 0.20 0.25 0.05 0.10 0.15 0.20 0.25 (b) Find the equation of the least-squares regression line. (Round your values to five decimal places.) ŷ = (d) What is the residual associated with the observation (0.03, -0.04)? (Use actual - predicted.) X (c) Based on this line, what would you predict nitrogen retention to be for a flying squirrel whose nitrogen intake is 0.03 gram? (Round your answer to five decimal places.) g X
Northern flying squirrels eat lichen and fungi, which makes for a relatively low quality diet. The authors of the paper "Nutritional Value and Diet Preference of Arboreal Lichens and Hypogeous Fungi for Small Mammals in the Rocky Mountains"+ measured nitrogen intake and nitrogen retention in six flying squirrels that were fed the fungus Rhizopogon. Data read from a graph that appeared in the paper are given in the table below. (The negative value for nitrogen retention for the first squirrel represents a net loss in nitrogen.) Nitrogen Intake, x (grams) 0.03 0.10 0.07 0.06 0.07 0.25 (a) Construct a scatterplot of these data. y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 Nitrogen Retention, y (grams) -0.04 0.00 0.01 0.01 0.04 0.11 0.05 0.10 0.15 0.20 0.25 9 .. 0.05 0.10 0.15 0.20 0.25 X X y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 0.05 0.10 0.15 0.20 0.25 0.05 0.10 0.15 0.20 0.25 (b) Find the equation of the least-squares regression line. (Round your values to five decimal places.) ŷ = (d) What is the residual associated with the observation (0.03, -0.04)? (Use actual - predicted.) X (c) Based on this line, what would you predict nitrogen retention to be for a flying squirrel whose nitrogen intake is 0.03 gram? (Round your answer to five decimal places.) g X
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:Northern flying squirrels eat lichen and fungi, which makes for a relatively low quality diet. The authors of the paper "Nutritional
Value and Diet Preference of Arboreal Lichens and Hypogeous Fungi for Small Mammals in the Rocky Mountains" + measured
nitrogen intake and nitrogen retention in six flying squirrels that were fed the fungus Rhizopogon.
Data read from a graph that appeared in the paper are given in the table below. (The negative value for nitrogen retention for the
first squirrel represents a net loss in nitrogen.)
Nitrogen Intake,
x (grams)
0.03
0.10
0.07
0.06
0.07
0.25
(a) Construct a scatterplot of these data.
y
0.10
0.05
-0.05
y
0.10
0.05
-0.05
0.05 0.10
g
0.05 0.10
Nitrogen Retention,
y (grams)
-0.04
0.00
0.01
0.01
0.04
0.11
g
+
0.15 0.20 0.25
0.15
●●
0.20 0.25
X
y
0.10
0.05
-0.05
y
0.10
0.05
-0.05
(b) Find the equation of the least-squares regression line. (Round your values to five decimal places.)
ŷ =
0.05 0.10 0.15 0.20 0.25
0.05 0.10 0.15 0.20 0.25
(c) Based on this line, what would you predict nitrogen retention to be for a flying squirrel whose nitrogen intake is 0.03 gram?
(Round your answer to five decimal places.)
(d) What is the residual associated with the observation (0.03, -0.04)? (Use actual - predicted.)
X
X
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