Hello.
First off, you can factor this equation to find the missing x-intercept.
y = x² + 8x + 12
y = (x + 6)(x + 2)
Then, you can use the zero product property to find the x values.
x + 6 = 0 x + 2 = 0
- 6 - 6 - 2 - 2
x = -6 x = -2
As an ordered pair: (-6, 0) and (-2, 0)
Thus, your answer is x = -6, -2.
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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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Answer:
Step-by-step explanation:
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