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Kobotan [32]
4 years ago
12

By visual inspection, determine the best-fitting regression model for the data plot below.

Mathematics
1 answer:
Firlakuza [10]4 years ago
8 0

Answer:

A. linear

Step-by-step explanation:

A linear model is the best-fitting regression  model for the data plot because for similar variations in x values, the variation in y values are also similar, that is, if you take points (x1, y1), (x2, y2) and (x3, y3) the y1 - y2 is similar to y2 - y3, when x2 - x1 is also similar to x3 - x2.

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Select the correct symbol to compare the expressions below.
oksano4ka [1.4K]

Answer:

=

Step-by-step explanation:

4 0
3 years ago
Determine the smallest 6 digit number which is exactly divisible by 8,15,and21
ch4aika [34]
Find the least common multiple of 8, 15, and 21. . . . . . It's 280 .

So all the numbers divisible by 8, 15, and 21 are all the multiples of 280.

The smallest 6-digit number is 100,000 .

100,000 / 280 = 357.1 , so the next whole-number multiple is the 358th one.

280 x 358 = <u>100,240</u> .

You can tell right away that this is the smallest one that qualifies,
because if you take away 280 and go to the next smaller multiple,
it won't have 6 digits anymore.
3 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
4 years ago
Which event has a probability of 50%?
Andreyy89

Answer:

getting heads when tossing a coin

Step-by-step explanation:

there are only 2 options, heads or tails, and there's an equal chance of getting both.

7 0
2 years ago
Read 2 more answers
Which property is represented below? <br> (7 * 3) * 8 = 8 * (7 * 3)
Marina86 [1]

9514 1404 393

Answer:

  commutative property

Step-by-step explanation:

The <em>commutative property of multiplication</em> lets you swap the order of the operands (7*3) and 8 to make them have the order 8 and (7*3).

6 0
3 years ago
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