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Svetach [21]
2 years ago
10

A botanist created a linear model to predict plant height from soil acidity (pH level) for a certain type of plant. The slope of

the model was 2.5 centimeters per pH level, the standard deviation of the sample of plant heights was 4 centimeters, and the standard deviation of the soil acidity was 1 pH level. What is the value of the correlation coefficient?
Biology
1 answer:
Nutka1998 [239]2 years ago
5 0

Answer:

  0.625

Explanation:

The slope (m) of a linear regression line is ...

  m=r_{xy}\cdot\dfrac{s_y}{s_x}

Then we have ...

  2.5=r_{xy}\cdot\dfrac{4}{1}\\\\\dfrac{2.5}{4}=r_{xy}=0.625

The value of the correlation coefficient is 0.625.

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