R3.5 Late bloomen? Japanese cherry trees tend to blos- som carly when spring weather is warm and later when spring weather is cool. Here are some data on the average March temperature (in °C) and the day in April when the fint cherry blossom appeared over a 24-year period: Temperature ("C) to first bloom: 4.0 5.4 32 2.6 4.2 4.7 49 4.0 4.9 3.8 4.0 5.-
R3.5 Late bloomen? Japanese cherry trees tend to blos- som carly when spring weather is warm and later when spring weather is cool. Here are some data on the average March temperature (in °C) and the day in April when the fint cherry blossom appeared over a 24-year period: Temperature ("C) to first bloom: 4.0 5.4 32 2.6 4.2 4.7 49 4.0 4.9 3.8 4.0 5.-
MATLAB: An Introduction with Applications
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![R3.5 Late bloomers? Japanese cherry trees tend to blos-
som early when spring weather is warm and later when
spring weather is cool. Here are some data on the average
March temperature (in °C) and the day in April when the
first cherry blossom appeared over a 24-year period:
Temperature ("C)
to first bloom: 4.0 5.4 3.2 2.6 4.2 4.7 4.9 4.0 4.9 3.8 4.0 5.
Days in April:
14 8 11 19 14 14 14 21 9 14 13 11
Temperature ("C)
to first bloom: 4.3 1.5 3.7 3.8 4.5 4.1 6.1 6.2 5.1 5.0 4.6 4.
Days in April: 13 28 17 19 10 17 3 3 11 6 91
(a) Make a well-labeled scatterplot that's suitable for
predicting when the cherry trees will bloom from
the temperature. Describe the direction, form,
and strength of the relationship.
(b) Use technology to find the equation of the least-
squares regression line. Interpret the slope and y
intercept of the line in this setting.
(c) The average March temperature this year was
3.5°C. When would you predict that the first cherry
blossom would appear? Show your method clearly.
(d) Find the residual for the year when the average
March temperature was 4.5°C. Show your work.
(e) Use technology to construct a residual plot. De-
scribe what you see.
(f)
Find and interpret the value of r’ and s in this
setting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe90631a8-7e00-4a03-8189-cfd36c7841dd%2Ff3ecf0f4-9615-451c-86af-4da2a77ac59c%2Fi0bo5h_processed.png&w=3840&q=75)
Transcribed Image Text:R3.5 Late bloomers? Japanese cherry trees tend to blos-
som early when spring weather is warm and later when
spring weather is cool. Here are some data on the average
March temperature (in °C) and the day in April when the
first cherry blossom appeared over a 24-year period:
Temperature ("C)
to first bloom: 4.0 5.4 3.2 2.6 4.2 4.7 4.9 4.0 4.9 3.8 4.0 5.
Days in April:
14 8 11 19 14 14 14 21 9 14 13 11
Temperature ("C)
to first bloom: 4.3 1.5 3.7 3.8 4.5 4.1 6.1 6.2 5.1 5.0 4.6 4.
Days in April: 13 28 17 19 10 17 3 3 11 6 91
(a) Make a well-labeled scatterplot that's suitable for
predicting when the cherry trees will bloom from
the temperature. Describe the direction, form,
and strength of the relationship.
(b) Use technology to find the equation of the least-
squares regression line. Interpret the slope and y
intercept of the line in this setting.
(c) The average March temperature this year was
3.5°C. When would you predict that the first cherry
blossom would appear? Show your method clearly.
(d) Find the residual for the year when the average
March temperature was 4.5°C. Show your work.
(e) Use technology to construct a residual plot. De-
scribe what you see.
(f)
Find and interpret the value of r’ and s in this
setting.
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