1. Mr. Mearig has an unintentionally acquired collection of coffee mugs in his house. To perform a study he measured the height of each mug in inches and poured 200° coffee into the mug. He recorded the temperature of the coffee after exactly ten minutes had passed. The data is in the table: a) Complete a full regression analysis of the data: (you may need to attach a separate page) Sketch the Scatterplot sketch and interpret the residual plot write the regression equation interpret the regression coefficient interpret the correlation coefficient and coefficient of determination. b) Mr. Mearig received a coffee mug from his favorite AP Statistics student. He immediately rushed to find his ruler and measured the height as 6 inches tall. "I can predict the temperature of my coffee after ten minutes using my past research!" he told his student. What temperature would he predict? = height = temp 8 10 4.5 3.5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 65 5.5 85355 9.5 9.5 5.5 3 8.5 7 LO 5 6 3.5 6.5 182 192 133 129 152 139 175 180 127 187 148 126 185 165 175 148 128 162 c) One coffee cup appears to be an outlier. Identify the mug, indicate the residual value, and explain what would happen to the correlation coefficient without that mug included: Bonus: Regression models may indicate correlation but not necessarily causation. Aside from the height of the mugs, what other variables could affect the temperature changes? List at least three: [using complete sentences]
1. Mr. Mearig has an unintentionally acquired collection of coffee mugs in his house. To perform a study he measured the height of each mug in inches and poured 200° coffee into the mug. He recorded the temperature of the coffee after exactly ten minutes had passed. The data is in the table: a) Complete a full regression analysis of the data: (you may need to attach a separate page) Sketch the Scatterplot sketch and interpret the residual plot write the regression equation interpret the regression coefficient interpret the correlation coefficient and coefficient of determination. b) Mr. Mearig received a coffee mug from his favorite AP Statistics student. He immediately rushed to find his ruler and measured the height as 6 inches tall. "I can predict the temperature of my coffee after ten minutes using my past research!" he told his student. What temperature would he predict? = height = temp 8 10 4.5 3.5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 65 5.5 85355 9.5 9.5 5.5 3 8.5 7 LO 5 6 3.5 6.5 182 192 133 129 152 139 175 180 127 187 148 126 185 165 175 148 128 162 c) One coffee cup appears to be an outlier. Identify the mug, indicate the residual value, and explain what would happen to the correlation coefficient without that mug included: Bonus: Regression models may indicate correlation but not necessarily causation. Aside from the height of the mugs, what other variables could affect the temperature changes? List at least three: [using complete sentences]
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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I need help with these problems please. I have attached a scatterplot but I don't know if its correct. Thanks if you can help!
![1. Mr. Mearig has an unintentionally acquired collection of coffee mugs in his house.
To perform a study he measured the height of each mug in inches and poured 200° coffee into the mug.
He recorded the temperature of the coffee after exactly ten minutes had passed. The data is in the table:
a) Complete a full regression analysis of the data:
(you may need to attach a separate page)
Sketch the Scatterplot
sketch and interpret the residual plot
write the regression equation
interpret the regression coefficient
interpret the correlation coefficient and
coefficient of determination.
b) Mr. Mearig received a coffee mug from his favorite
AP Statistics student. He immediately rushed to find his
ruler and measured the height as 6 inches tall. "I can
predict the temperature of my coffee after ten minutes
using my past research!" he told his student. What
temperature would he predict?
= height = temp
8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
10
4.5
3.5
6
5.5
8
9.5
3
9.5
5.5
3
8.5
7
5
6
3.5
6.5.
182
192
133
129
152
139
175
180
127
187
148
126
185
165
175
148
128
162
c) One coffee cup appears to be an outlier. Identify the mug, indicate the residual value,
and explain what would happen to the correlation coefficient without that mug included:
Bonus: Regression models may indicate correlation but not necessarily causation. Aside from the height
of the mugs, what other variables could affect the temperature changes? List at least three:
[using complete sentences]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F641c4044-13e1-4a1e-928b-420b25c137c8%2F1d92bac8-098d-4359-a555-a79bc8753eb8%2Fc6oov39_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Mr. Mearig has an unintentionally acquired collection of coffee mugs in his house.
To perform a study he measured the height of each mug in inches and poured 200° coffee into the mug.
He recorded the temperature of the coffee after exactly ten minutes had passed. The data is in the table:
a) Complete a full regression analysis of the data:
(you may need to attach a separate page)
Sketch the Scatterplot
sketch and interpret the residual plot
write the regression equation
interpret the regression coefficient
interpret the correlation coefficient and
coefficient of determination.
b) Mr. Mearig received a coffee mug from his favorite
AP Statistics student. He immediately rushed to find his
ruler and measured the height as 6 inches tall. "I can
predict the temperature of my coffee after ten minutes
using my past research!" he told his student. What
temperature would he predict?
= height = temp
8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
10
4.5
3.5
6
5.5
8
9.5
3
9.5
5.5
3
8.5
7
5
6
3.5
6.5.
182
192
133
129
152
139
175
180
127
187
148
126
185
165
175
148
128
162
c) One coffee cup appears to be an outlier. Identify the mug, indicate the residual value,
and explain what would happen to the correlation coefficient without that mug included:
Bonus: Regression models may indicate correlation but not necessarily causation. Aside from the height
of the mugs, what other variables could affect the temperature changes? List at least three:
[using complete sentences]
Transcribed Image Text:2ND
A-LOCK
11
TI-84 Plus
TEXAS INSTRUMENTS
MATH
QUIT
STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4
Y=
WINDOW
ZOOM
TRACE
MODE
LINK
ALPHA X,T,e,n
TEST A
B
13
APPS
13
INS
DEL
LIST
STAT
ANGLE B DRAW C
D
PRGM
1
DISTR
VARS
B
TABLE FS
(0)
GRAPH
CLEAR
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VIEWStep 2: Carrying out the full regression analysis.
VIEWStep 3: Determining the correlation coefficient and coefficient of determination
VIEWStep 4: Interpreting the residual plot
VIEWStep 5: Computing the prdicted value
VIEWStep 6: Computing the correlation coefficient after removing the residual
VIEWStep 7: Stating the potential variable that could affect the temperature changes
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