Complete the following five steps to calculate r, and give each of your answers precise to two decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Step 5. Calculate the correlation coefficient.

Step 2. Calculate the z-score for each y-value.
У1 — у
sdy
y2 - y
sdy
Уз — у
sd y
|
Zyl
Zy2
Zy3
Step 3. For each data point, calculate the product of the pair of z-scores.
Zx2 · Zy2
Zx3 · Zy3
Zxl•Zyl =
Step 4. Sum the products of each pair of z-scores.
E(zxi · Zyi) =
II
II
Transcribed Image Text:Step 2. Calculate the z-score for each y-value. У1 — у sdy y2 - y sdy Уз — у sd y | Zyl Zy2 Zy3 Step 3. For each data point, calculate the product of the pair of z-scores. Zx2 · Zy2 Zx3 · Zy3 Zxl•Zyl = Step 4. Sum the products of each pair of z-scores. E(zxi · Zyi) = II II
Suppose that George wants to determine if the number of
y
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
8.
Yi = 7
counts the number of flowers (x) and number of insects (y)
Data point 2
X2
15
y2 = 13
in each quadrat. His data are shown in the table.
Data point 3
16
Уз —D 16
X3
Calculate the Pearson product-moment correlation
Mean
= 13.00
y = 12.00
coefficient, r, using the formula
Standard deviation
sdx= 4.359
sd,= 4.583
E Zxi · Zyi
r =
n
- 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 =
sdx
X2
Zx2 =
X3
Zx3 =
sdx
sd x
Transcribed Image Text:Suppose that George wants to determine if the number of y 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 8. Yi = 7 counts the number of flowers (x) and number of insects (y) Data point 2 X2 15 y2 = 13 in each quadrat. His data are shown in the table. Data point 3 16 Уз —D 16 X3 Calculate the Pearson product-moment correlation Mean = 13.00 y = 12.00 coefficient, r, using the formula Standard deviation sdx= 4.359 sd,= 4.583 E Zxi · Zyi r = n - 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 = sdx X2 Zx2 = X3 Zx3 = sdx sd x
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