Q2 The Sun and the Wind. A company is planning to generate renewable electricity from an installation including both wind turbines and solar modules. It has selected a coastal site with plenty of wind and sun. The data file contains estimates of how much wind and solar electricity (kWh) would be generated each hour for a sample of one week from measurements of wind speed and solar radiation at the site. a). Use software to draw a scatter diagram of solar output against wind output. b) From the diagram comment on the direction, form and strength of the relationship between solar and wind output. c) On the scatter diagram indicate 5 hours during which it was very windy at night. On the scatter diagram indicate 3 hours of exceptionally bright sunshine when it was calm (not very windy). d) Use software to calculate the correlation coefficient between solar output and wind output. e) From your experience of sun and wind, explain why the correlation coefficient is negative. f) Draw a histogram of wind output, giving the reason for choosing the number of bins/groups/bars. 8) Draw a histogram of solar output, giving the reason for choosing the number of bins/groups/bars. h) What can you tell from the scatterplot that you cannot tell from the histograms.

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The Sun and the Wind. A company is planning to generate renewable electricity from an
installation including both wind turbines and solar modules. It has selected a coastal site with plenty of
wind and sun. The data file contains estimates of how much wind and solar electricity (kWh) would be
generated each hour for a sample of one week from measurements of wind speed and solar radiation at
Q2
the site.
a). Use software to draw a scatter diagram of solar output against wind output.
From the diagram comment on the direction, form and strength of the relationship between
solar and wind output.
c)
b)
On the scatter diagram indicate 5 hours during which it was very windy at night. On the
scatter diagram indicate 3 hours of exceptionally bright sunshine when it was calm (not very
windy).
d)
Use software to calculate the correlation coefficient between solar output and wind output.
e)
From your experience of sun and wind, explain why the correlation coefficient is negative.
f)
Draw a histogram of wind output, giving the reason for choosing the number of
bins/groups/bars.
8)
Draw a histogram of solar output, giving the reason for choosing the number of
bins/groups/bars.
What can you tell from the scatterplot that you cannot tell from the histograms.
h)
Transcribed Image Text:The Sun and the Wind. A company is planning to generate renewable electricity from an installation including both wind turbines and solar modules. It has selected a coastal site with plenty of wind and sun. The data file contains estimates of how much wind and solar electricity (kWh) would be generated each hour for a sample of one week from measurements of wind speed and solar radiation at Q2 the site. a). Use software to draw a scatter diagram of solar output against wind output. From the diagram comment on the direction, form and strength of the relationship between solar and wind output. c) b) On the scatter diagram indicate 5 hours during which it was very windy at night. On the scatter diagram indicate 3 hours of exceptionally bright sunshine when it was calm (not very windy). d) Use software to calculate the correlation coefficient between solar output and wind output. e) From your experience of sun and wind, explain why the correlation coefficient is negative. f) Draw a histogram of wind output, giving the reason for choosing the number of bins/groups/bars. 8) Draw a histogram of solar output, giving the reason for choosing the number of bins/groups/bars. What can you tell from the scatterplot that you cannot tell from the histograms. h)
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