The correlation coefficient is calculated by the given formula
Here we have to find correlation coefficient for three ordered pairs, so n=3
Substituting all the values in the above formula,
r= -0.24
Answer:
x = -3, -5.
Step-by-step explanation:
(2x + 8)/6 = 1/3(x + 4)
Cross multiply:
(2x + 8)(x + 4) = 6 * 1/3
(2x + 8)(x + 4) = 2
2x^2 + 16x + 32 - 2 = 0
2x^2 + 16x + 30 = 0
x^2 + 8x + 15 = 0
(x + 3)(x + 5) = 0
x = -3, -5.
Answer:
The answer is
Step-by-step explanation:
Remember that Taylor says that
For this case
The correct option regarding the domain and the range of the function is given by:
A. The domain is (-∞, ∞), and the range is (k, ∞).
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input.
- The range of a function is the set that contains all the values of the output.
An exponential function is given in the function, which has no restrictions, hence the domain is (-∞, ∞).
The range depends of the vertical shift given by k, hence it is given by (k, ∞).
More can be learned about the domain and the range of a function at brainly.com/question/24374080
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The regression equation which correctly models the data in this table is y = 1.49x - 107.5,
<h3>How to determine the regression equation?</h3>
From the table of data values, we have the following parameters:
∑x = 632
∑y = 404
∑x² = 80.142
∑xy = 51.448
Mathematically, the regression equation is represented by the following slope equation:
y = Bx + A
Next, we would determine A by using this expression:
A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)
A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)
A = (32,377,368 - 32,515136)/(5×80142 - 399,424)
A = -137,768/1286
A = 107.5
For B, we have:
B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)
B = (5×51,448 - 632×404)/(5×∑x² - (632)²)
B = 1.49.
y = Bx + A
y = 1.49x - 107.5
Read more about regression equation here: brainly.com/question/28037520
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