Answer:
Step-by-step explanation: Step explained in the attached file
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The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers
The correlation coefficient is 0.53
<h3>How to calculate the correlation coefficient</h3>The correlation coefficient (r) is calculated as:
Using the given parameters, we have:
Evaluate the exponents
Evaluate the products
Evaluate the differences
Evaluate the product
Evaluate the root
Evaluate the quotient
Hence, the correlation coefficient is 0.53
Read more about correlation coefficient at:
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = =
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D