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\(\pi\)
e
\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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\(\div\)
log
ln
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\(\times\)
cos
cos⁻¹
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sin
sin⁻¹
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tan
tan⁻¹
A botanist measures the height (\(h\)) in cm and the number of leaves (\(L\)) of 8 young plants of the same species.
Height (\(h\))
12
15
18
22
25
28
32
35
Leaves (\(L\))
8
11
14
19
22
25
30
32
Write down the equation of the regression line of \(L\) on \(h\) in the form \(L = ah + b\) using a calculator.
Interpret the value of \(a\) in the context of the problem.
Calculate the coefficient of determination, \(r^2\), and explain what it indicates.
Estimate the number of leaves on a plant with a height of 20 cm.
Comment on the validity of using this model to estimate the number of leaves on a plant that is 60 cm tall.
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