(a) Make a stemplot to display the distribution of the residuals (round to the nearest hundredth). Are there strong outliers or other signs of departures from Normality? The distribution of the residuals appears to be right-skewed with one outlier in the left tail (a residual of -0.16). The distribution of the residuals appears close to Normal with one outlier in the right tail (a residual of -0.56). The distribution of the residuals appears to be left-skewed with one outlier in the left tail (a residual of -0.56). The distribution of the residuals appears close to Normal with one outlier in the left tail (a residual of -0.16). (b) Make a residual plot of residuals against average maximum sea surface temperature. Try a vertical scale of -0.2 to 0.2 to show patterns more clearly. Draw the "residual = 0" line. Does the residual plot show clear deviations from a linear pattern or clearly unequal variability about the line? There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual = 0" line, there is a slightly larger variance in residuals that have small maximum sea surface temperatures. There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual = 0" line, there is a slightly larger variance in residuals that have small maximum sea surface temperatures. There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual =0" line, there is a slightly smaller variance in residuals that have small maximum sea surface temperatures. There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly smaller variance in residuals that have small maximum sea surface temperatures.
(a) Make a stemplot to display the distribution of the residuals (round to the nearest hundredth). Are there strong outliers or other signs of departures from Normality? The distribution of the residuals appears to be right-skewed with one outlier in the left tail (a residual of -0.16). The distribution of the residuals appears close to Normal with one outlier in the right tail (a residual of -0.56). The distribution of the residuals appears to be left-skewed with one outlier in the left tail (a residual of -0.56). The distribution of the residuals appears close to Normal with one outlier in the left tail (a residual of -0.16). (b) Make a residual plot of residuals against average maximum sea surface temperature. Try a vertical scale of -0.2 to 0.2 to show patterns more clearly. Draw the "residual = 0" line. Does the residual plot show clear deviations from a linear pattern or clearly unequal variability about the line? There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual = 0" line, there is a slightly larger variance in residuals that have small maximum sea surface temperatures. There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual = 0" line, there is a slightly larger variance in residuals that have small maximum sea surface temperatures. There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual =0" line, there is a slightly smaller variance in residuals that have small maximum sea surface temperatures. There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly smaller variance in residuals that have small maximum sea surface temperatures.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![(a) Make a stemplot to display the distribution of the residuals (round to the nearest hundredth). Are there strong outliers or
other signs of departures from Normality?
The distribution of the residuals appears to be right-skewed with one outlier in the left tail (a residual of -0.16).
The distribution of the residuals appears close to Normal with one outlier in the right tail (a residual of -0.56).
The distribution of the residuals appears to be left-skewed with one outlier in the left tail (a residual of -0.56).
The distribution of the residuals appears close to Normal with one outlier in the left tail (a residual of -0.16).
(b) Make a residual plot of residuals against average maximum sea surface temperature. Try a vertical scale of -0.2 to 0.2 to
show patterns more clearly. Draw the "residual=0" line.
Does the residual plot show clear deviations from a linear pattern or clearly unequal variability about the line?
There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly larger
variance in residuals that have small maximum sea surface temperatures.
There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly larger
variance in residuals that have small maximum sea surface temperatures.
There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly smaller
variance in residuals that have small maximum sea surface temperatures.
There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual =0" line, there is a slightly smaller
variance in residuals that have small maximum sea surface temperatures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17c551d6-07f6-4af0-89eb-b973e02ad365%2F68a18c1a-02de-4659-bd99-d9ed43f0d412%2F7x5rkf_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Make a stemplot to display the distribution of the residuals (round to the nearest hundredth). Are there strong outliers or
other signs of departures from Normality?
The distribution of the residuals appears to be right-skewed with one outlier in the left tail (a residual of -0.16).
The distribution of the residuals appears close to Normal with one outlier in the right tail (a residual of -0.56).
The distribution of the residuals appears to be left-skewed with one outlier in the left tail (a residual of -0.56).
The distribution of the residuals appears close to Normal with one outlier in the left tail (a residual of -0.16).
(b) Make a residual plot of residuals against average maximum sea surface temperature. Try a vertical scale of -0.2 to 0.2 to
show patterns more clearly. Draw the "residual=0" line.
Does the residual plot show clear deviations from a linear pattern or clearly unequal variability about the line?
There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly larger
variance in residuals that have small maximum sea surface temperatures.
There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly larger
variance in residuals that have small maximum sea surface temperatures.
There is evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual=0" line, there is a slightly smaller
variance in residuals that have small maximum sea surface temperatures.
There is not evidence of a clear deviation from a linear pattern; that is, there is no visible pattern in the residuals. While
there appears to be roughly equal variability in the residuals about the "residual =0" line, there is a slightly smaller
variance in residuals that have small maximum sea surface temperatures.
![Environmental conditions can affect the growth of coral. To study this, a researcher examined a species of coral that is found in
the Caribbean Sea and the Gulf of Mexico. At 12 localities, he determined the average annual calcification rate of coral over a
period of several years and the average annual maximum sea surface temperature during the same period. Calcification rate
affects the growth of coral, with higher rates corresponding to greater growth. The table contains data for these 12 localities.
Maximum sea surface temperature (°C)
and calcification rate (g cm² yr¯¹)
Maximum Sea
Surface
Temperature
29.4
29.4
29.4
29.6
29.1
28.7
Calcification
Rate
1.48
1.53
1.52
1.48
1.31
1.25
Maximum Sea
Surface
Temperature
29.7
29.5
29.4
29.0
29.0
29.0
Calcification
Rate
1.63
1.53
1.46
1.24
1.29
1.12
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt!
The residuals for average annual maximum sea surface temperature and calcification rate for the 12 localities are given.
0.01490 0.06490 0.05490 -0.07740 -0.01665 0.10795
0.02645 0.01875 -0.00510 -0.04050 0.00950 -0.16050](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17c551d6-07f6-4af0-89eb-b973e02ad365%2F68a18c1a-02de-4659-bd99-d9ed43f0d412%2Ffu2whkq_processed.png&w=3840&q=75)
Transcribed Image Text:Environmental conditions can affect the growth of coral. To study this, a researcher examined a species of coral that is found in
the Caribbean Sea and the Gulf of Mexico. At 12 localities, he determined the average annual calcification rate of coral over a
period of several years and the average annual maximum sea surface temperature during the same period. Calcification rate
affects the growth of coral, with higher rates corresponding to greater growth. The table contains data for these 12 localities.
Maximum sea surface temperature (°C)
and calcification rate (g cm² yr¯¹)
Maximum Sea
Surface
Temperature
29.4
29.4
29.4
29.6
29.1
28.7
Calcification
Rate
1.48
1.53
1.52
1.48
1.31
1.25
Maximum Sea
Surface
Temperature
29.7
29.5
29.4
29.0
29.0
29.0
Calcification
Rate
1.63
1.53
1.46
1.24
1.29
1.12
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt!
The residuals for average annual maximum sea surface temperature and calcification rate for the 12 localities are given.
0.01490 0.06490 0.05490 -0.07740 -0.01665 0.10795
0.02645 0.01875 -0.00510 -0.04050 0.00950 -0.16050
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