Considering both r and the scatter plot for the data above, what can you conclude about the correlation between Cheerfulness Scores and Depression Scores? State your interpretation including the strength and direction of the relationship. Check your answers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Calculation.
Cheerfulness
Score (X)
Depression
Score (Y)
Person
XY
X?
- Y?
120
135
900
729
30
4
16
27
25
3
24
7
168
576
49
4
20
24
480
400
576
5
20
8
160
400
64
18
10
180
324
100
7
16
10
160
256
100
8
14
14
196
196
196
9
13
9
117
169
81
10
11
12
132
121
144
11
23
207
81
529
12
6.
29
174
36
841
13
30
900
N = 13
EX =208
ΣΥ-185
EXY= 2229
ΣΧ-4188
EY²= 3621
Calculate.
[ΝΣ ΧΥ -Σx) /Σ Υ]
N = 13
[V[NEX2 – (E X)²][N£Y² – (EY)²]]
Σχ-208
Ey=185
Exy= 2229
Ex²=4188
Ey²= 3621
Interpret. Describe the relationship between Cheerfulness and Depression.
Transcribed Image Text:Calculation. Cheerfulness Score (X) Depression Score (Y) Person XY X? - Y? 120 135 900 729 30 4 16 27 25 3 24 7 168 576 49 4 20 24 480 400 576 5 20 8 160 400 64 18 10 180 324 100 7 16 10 160 256 100 8 14 14 196 196 196 9 13 9 117 169 81 10 11 12 132 121 144 11 23 207 81 529 12 6. 29 174 36 841 13 30 900 N = 13 EX =208 ΣΥ-185 EXY= 2229 ΣΧ-4188 EY²= 3621 Calculate. [ΝΣ ΧΥ -Σx) /Σ Υ] N = 13 [V[NEX2 – (E X)²][N£Y² – (EY)²]] Σχ-208 Ey=185 Exy= 2229 Ex²=4188 Ey²= 3621 Interpret. Describe the relationship between Cheerfulness and Depression.
Construct the Scatter Plot
Cheerfulness
Score
Considering both r and the scatter plot for the data above, what can you
conclude about the correlation between Cheerfulness Scores and
Depression Scores? State your interpretation including the strength and
direction of the relationship.
Check your answers.
28977-38480
V[54444–43264][47073–34225]
-9503
-9503
J[11180][12848] V143640640
-9503
11985.01731 =-.793
13(2229)–(208)(185)
r =-
V[13(4188)–(208)²][13(3621)–(185)²]
10
30
Cheerfulness
Depression
Depression Score
Transcribed Image Text:Construct the Scatter Plot Cheerfulness Score Considering both r and the scatter plot for the data above, what can you conclude about the correlation between Cheerfulness Scores and Depression Scores? State your interpretation including the strength and direction of the relationship. Check your answers. 28977-38480 V[54444–43264][47073–34225] -9503 -9503 J[11180][12848] V143640640 -9503 11985.01731 =-.793 13(2229)–(208)(185) r =- V[13(4188)–(208)²][13(3621)–(185)²] 10 30 Cheerfulness Depression Depression Score
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Swokowski
Publisher:
Cengage