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Masteriza
14 days ago
5

A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation val

ue of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area?
Mathematics
1 answer:
zzz [4K]14 days ago
4 0

Answer:

A correlation coefficient of +1 or -1 reflects a perfect linear relationship, but a 0.94 indicates a strong positive correlation between the aspen leaf's length and surface area, though not guaranteeing linearity.

Step-by-step explanation:

The correlation coefficient (r) ranges between +1 and −1, where +1 means perfect positive correlation, −1 means perfect negative correlation, and 0 means no correlation.

The closer r is to ±1, the stronger the correlation. Generally, values between 0.7 and 1, or −0.7 and −1, indicate a significant correlation.

While 0.94 shows a strong direct association between the leaf's length and surface area, it does not definitively prove a linear relationship is the best fit.

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Detailed breakdown:

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In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold t
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Answer:

£170,000

Step-by-step explanation:

En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.

La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.

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Rafik pagó £170,000 por la casa en 2010.

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9 days ago
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