Biocalculus
15th Edition
ISBN: 9781133109631
Author: Stewart, JAMES, Day, Troy
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 8.3, Problem 38E
a.
To determine
To find: the magnitude of the change in algal community compare between the two lakes.
b.
To determine
To identify: the direction of the change in algal community compares between the two lakes.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Community ecologists study the factors that determine the abundance of different species. The abundance of three algae species (in mg/mL) is quantified in two different
lakes before and after an unusually hot summer. The coordinates of these four samples in R3 are Lake A: (92, 65, 40) and (95, 61, 47) before and after summer,
respectively, and Lake B: (26, 56, 24) and (23, 60, 17) before and after summer, respectively.
(a) How does the magnitude of the change in algal community compare between the two lakes?
The magnitude of the change in algae species is greater for Lake A than B.
The magnitude of the change in algae species is greater for Lake B than A.
The magnitude of the change in algae species is the same for Lake A and B.
(b) How does the direction of the change in algal community compare between the two lakes?
O The direction of the change in algal community in Lake A is opposite that of Lake B.
The direction of the change in algal community in Lake A is the same as that of…
In a study a group of 50 adults were asked how comfortable they felt around 5 types of animals:
dogs, cats, cows, horses and sheep. For each type of animal, each respondent gave a number
between 0 and 100 to indicate their comfort level (0 being 'hate being around' to 100 being 'love
being around').
The data are given in Table 10, along with the loadings of the first two principal components.
Variable
(b)
(c)
X₁
X₂
X3
X4
X5
Animal Mean
Dogs
74.5
Cats
76.2
Cows
45.2
Horses
51.2
Sheep 48.3
Table 10
Standard
Deviation Component 1
Loadings
8.1
7.5
7.1
8.6
6.9
0.724
-0.684
0.080
-0.040
-0.017
Component 2
0.387
0.425
0.464
0.449
0.503
(a)
The data were not standardized prior to being analyzed using principal components. Give 2
reasons why the decision not to standardize is reasonable for these data.
Interpret each of the 2 components. Justify your answer.
Suppose a decision was taken to standardize the data after all. Calculate the values of the
standardized variables for a person whose…
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x₁), the
number of days in the month (x₂), the average product purity (x3), and the tons of product produced (x4). The past year's historical data
are available and are presented in the following table:
Y
240
236
270
274
301
316
270
296
267
276
288
261
25
31
45
60
65
72
80
84
75
60
50
38
X2
24
21
24
25
25
26
25
25
24
25
25
23
Fit a multiple linear regression to predict power (y) using x1, X2 X3, and X4.
Calculate R2 for this model. Round your answer to 3 decimal places.
91
90
88
87
91
94
87
86
88
91
90
89
X4
100
95
110
88
94
99
97
96
110
105
100
98
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- LIFE SCIENCE APPLICATIONS Body Surface Area The surface area of a human in square meters has been approximated by A(h,m)=0.024265h0.3964m0.5378, where h is the height in cm and m is the mass in kg. Find A for the following data. Source: The Journal of Pediatrics. a. Height, 178cm; mass, 72kg b. Height, 140cm; mass 65kg c. Height, 160cm; mass, 70kg d. Using your mass and height, find your own surface area. e. f.arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardOcean scientists are trying to understand how the rising ocean temperature might affect algae life. The scientists count the number of algae in samples of ocean water taken at different temperatures. Identify the dependent and independent variables. D AND Iarrow_forward
- The total revenue for Costco Wholesale Corporation is given here. Total Revenue Year (billions of $) 2012 99.10 2013 105.16 2014 112.64 2015 116.20 2016 118.72 (a) What variables are appropriate? O C (total cost for Costco Wholesale Corp. in billions of $) and P (total profit for Costco Wholesale Corp. in billions of $) ot (years since 2010) and R (total revenue for Costco Wholesale Corp. in billions of $) Ot (years since 2010) and P (total profit for Costco Wholesale Corp. in billions of $) Ot (years since 2010) and C (total cost for Costco Wholesale Corp. in billions of $) OR (total revenue for Costco Wholesale Corp. in billions of $) and C (total cost for Costco Wholesale Corp. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope to two decimal places and the vertical intercept to one decimal place.) ---Select--- (c) What is the slope of this model? Explain its meaning in this…arrow_forward(c) Th Data Table Total Length (cm) 138.0 135.0 130.0 120.5 149.0 141.0 141.0 150.0 166.0 151.5 129.5 150.0 Print Weight (kg) 110 60 90 60 85 105 95 85 155 140 105 110 Done 0 X Critical Values for the Correlation Coefficient 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 0371 X not practical to v parts (a) througharrow_forwardDuring a particularly dry growing season in a southern state, farmers noticed that there is a delicate balance between the number of seeds that are planted per square foot and the yield of the crop in pounds per square foot. The yields were the smallest when the number of seeds per square foot was either very small or very large. The data in the table show various numbers of seeds planted per square foot and yields (in pounds per square foot) for a sample of fields. A 2-column table with 15 rows. Column 1 is labeled number of seeds (per square foot) with entries 28, 75, 30, 43, 71, 35, 40, 59, 66, 79, 85, 81, 16, 33, 16. Column 2 is labeled yield (pounds per square foot) with entries 131, 171, 132, 166, 169, 150, 161, 183, 173, 161, 147, 157, 86, 145, 86. Which scatterplot represents the seed and yield data? A graph titled number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and…arrow_forward
- The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.6 6.3 4.6…arrow_forwardThe quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 1%level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.6 6.7 4.8 4.9…arrow_forwardThe quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.1 6.6 4.6…arrow_forward
- The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.4 6.3 4.5…arrow_forwardIn a study of visual acuity, participants view an image under low lighting, moderate lighting, or high lighting. the length of time each participant takes to identify the image is recorded. What is the independent variable?arrow_forwardThe quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 10% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.1 6.6 4.3 4.7 6.7…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY