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The table shows the heights and weights of a few students in a class.
Height (inches) Weight (pounds)
Complete the following sentences based on your observations,
The data seems to have a correlation coefficient close to
This indicates that the weight of a student
as the height of the student increases

Correlation coefficient ≈ 0.9445

This indicates that the weight of a student increases as the height of the student increases.

Step-by-step explanation:

The rest of the question is the following table

value of x (height) are        58, 59,   60,  62,  63,  64,   66,  68,  70

Value of y (weight) are:      122, 128, 126, 133, 145, 136, 144, 150, 151

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To calculate the correlation coefficient we will use the following form:

So, n (the number of terms) = 9

∑x = 570, ∑y= 1236, ∑ x²= 36234, ∑ y²= 170694 and ∑xy=78617

So, the correlation coefficient =

∴ r =  0.9445

So, weight of a student increases as the height of the student increases.

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