Suppose that George wants to determine if the number of insects in a given area is related to the number of flowers in that area. He creates three 1 m2 quadrats in his backyard and y Data point 1 X1 = 5 Yi = 17 counts the number of flowers (x) and number of insects (y) Data point 2 x2 = 9 y2 = 1 in each quadrat. His data are shown in the table. Data point 3 X3 = 10 Уз 3D 15 Calculate the Pearson product-moment correlation x = 8.00 Mean y = 11.00 coefficient, r, using the formula Standard deviation sd= 2.646 sd,= 8.718 Zxi r = п — 1 where z is the z-score for each value, x; represents the x-value for each data point, y; represents the y-value for each data point, and n represents the sample size. Complete the following five steps to calculate r, and give each of your answers precise to two decimal places. Step 1. Calculate the z-score for each x-value. X1 – x Zx1 = x2 - x Хз — х sdx Zx2 = Zx3 = sd. sd.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
icon
Related questions
Topic Video
Question

Calculate Corellation coefeiccient step 5

Step 2. Calculate the z-score for each y-value.
Yi - ỹ
Zyl
sd,
y1
y
Уз — у
Zy3
sdy
y2 - y
Zy2
sdy
y
Step 3. For each data point, calculate the product of the pair of z-scores.
Zx1• Zyl
Zx2•Zy2 =
Zx3 · Zy3
Step 4. Sum the products of each pair of z-scores.
E(zxi • Zyi) =
II
Transcribed Image Text:Step 2. Calculate the z-score for each y-value. Yi - ỹ Zyl sd, y1 y Уз — у Zy3 sdy y2 - y Zy2 sdy y Step 3. For each data point, calculate the product of the pair of z-scores. Zx1• Zyl Zx2•Zy2 = Zx3 · Zy3 Step 4. Sum the products of each pair of z-scores. E(zxi • Zyi) = II
Suppose that George wants to determine if the number of
insects in a given area is related to the number of flowers in
that area. He creates three 1 m2 quadrats in his backyard and
Data point 1
X1 = 5
Yi = 17
counts the number of flowers (x) and number of insects (y)
Data point 2
X2
9.
Y2 = 1
in each quadrat. His data are shown in the table.
Data point 3
X3 = 10
Уз
= 15
Calculate the Pearson product-moment correlation
Mean
x = 8.00
y = 11.00
coefficient, r, using the formula
Standard deviation
sdx= 2.646
sdy= 8.718
E Zxi · Zyi
r =
п — 1
where z is the z-score for each value, x; represents the x-value for each data point, y; represents the y-value for each data
point, and n represents the sample size.
Complete the following five steps to calculate r, and give each of your answers precise to two decimal places.
Step 1. Calculate the z-score for each x-value.
X1
Zx1 =
X2
Zx2 =
X3 – x
sd.
sdx
sd.
Zx3 =
Transcribed Image Text:Suppose that George wants to determine if the number of insects in a given area is related to the number of flowers in that area. He creates three 1 m2 quadrats in his backyard and Data point 1 X1 = 5 Yi = 17 counts the number of flowers (x) and number of insects (y) Data point 2 X2 9. Y2 = 1 in each quadrat. His data are shown in the table. Data point 3 X3 = 10 Уз = 15 Calculate the Pearson product-moment correlation Mean x = 8.00 y = 11.00 coefficient, r, using the formula Standard deviation sdx= 2.646 sdy= 8.718 E Zxi · Zyi r = п — 1 where z is the z-score for each value, x; represents the x-value for each data point, y; represents the y-value for each data point, and n represents the sample size. Complete the following five steps to calculate r, and give each of your answers precise to two decimal places. Step 1. Calculate the z-score for each x-value. X1 Zx1 = X2 Zx2 = X3 – x sd. sdx sd. Zx3 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,