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2 years ago

HELP PLEASE. Which regression equation best fits these data?

Mathematics

2 answers:

AlladinOne [14]2 years ago

7 0

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

creativ13 [48]2 years ago

5 0

Answer: y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

A P E X

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Which of the following functions shown in the table below is not an exponential function?

kramer

Answer:

B. f(x)

D. h(x)

Step-by-step explanation:

An exponential function will have a common ratio.

We check and see if the consecutive terms has a common ratio.

For f(x),

$\frac{5}{2} \ne \frac{10}{5}$

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For g(x), we have:

$\frac{2}{1} = \frac{4}{2} = \frac{8}{4} = 2$

For h(x),

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2 years ago

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kykrilka [37]

To the nearest would be about 52

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2 years ago

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The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.

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Answer:

C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.

EDGE2021

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2 years ago

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

$(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\$

The slope of the equation is given by

$m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\$

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

$m_2 = - \frac{1}{m_1}$

So the slope of the other line is

$m_2 = \frac{1 }{3} \\\\$

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

$(x_1, y_1) = (6, 4)$

The point-slope form is given by,

$y - y_1 = m(x -x_1)$

Substitute the value of slope and the coordinates of point C

$y - 4 = \frac{1 }{3} (x - 6)\\\\$

To get the y-intercept, substitute x = 0

$y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\$

So, the point is

$(x, y) = (0, 2)$

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

6 0

2 years ago

Can u solve this pls easy? A geologist takes samples of two rocks from a mountainside. The gray rock has a volume 25% higher tha

Korolek [52]

Answer:

Text me back for an answer.

Step-by-step explanation:

Make sure you text back.

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2 years ago