A British statistician and biologist introduced a data set which consists of 50 samples from each of two species of Iris

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answerhappygod
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A British statistician and biologist introduced a data set which consists of 50 samples from each of two species of Iris

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A British statistician and biologist introduced a data set which
consists of 50 samples from each of two species of Iris (Iris
setosa and Iris versicolor). Four features were measured from each
sample: the length and the width of the sepals and petals, in
centimetres. This data set is available as Excel file “iris.xlsx”
on Moodle in “Assessment” block.
a) Produce a histogram of the sepal length of Iris setosa and
comment on the features of the distribution as shown by the
histogram.
b) Determine the five-number summary for the sepal widths of Iris
setosa.
c) Determine the five-number summary for the sepal widths of Iris
versicolor.
d) Draw a comparative box-plot for the sepal widths of the two
species, ensuring that any outliers are noted and that all axes are
well labelled.
e) Comment on any similarities and differences (as shown in the
comparative box-plot) in the sepal widths between the two
species.
f) Find the mean and standard deviation of the sepal width for each
type of Iris in the samples.
g) Compare the mean with the median for each type of Iris. What
does each of these comparisons indicate about each
distribution?
Combining groups can change the correlation coefficient, R-squared
and overall trend between variables.
h) Draw a scatter plot and find the correlation coefficient and
R-squared
i. for the sepal width and sepal length of Iris setosa,
ii. for the sepal width and sepal length of Iris versicolor,
and
iii. for the sepal width and sepal length of the combined samples
of Iris setosa and Iris versicolor.
i) State the effect of combining samples of Iris setosa and Iris
versicolor on the correlation between the sepal width and sepal
length.
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