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3 years ago

Which quadratic regression equation best fits the data set?

Mathematics

2 answers:

g100num [7]3 years ago

7 0

The 4th selection is appropriate.

_____
Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.

liberstina [14]3 years ago

7 0

Answer:

D. $y=1.87x^2-5.16x+10.54$

Step-by-step explanation:

The data set is given by,

x y

1 5.9

2 8.9

3 13.4

4 20.1

5 30.1

6 45.1

7 67.7

Using the regression calculator, we see that,

<h3>The quadratic equation that best fits the data is $y=1.87x^2-5.16x+10.54$ as shown below.</h3>

Thus, option D is correct.

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Find the mean median mode and range for the following data 77 60 59 70 89 95

Advocard [28]

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

77,60,59,70,89,95

Sort:

59,60,70,77,89,95

To find:

Mean
Median
Mode
Range

Mean:

$\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}$

Sum of all data divides by amount.

$\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}$

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

$\displaystyle \large{\dfrac{x_1+x_2}{2}}$

From 59,60,70,77,89,95, since 70 and 77 are in middle:

$\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}$

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

$\displaystyle \large{x_{max}-x_{min}}$ or highest value - lowest value

Thus:

$\displaystyle \large{95-59 = 36}$

Therefore, range = 36

7 0

1 year ago

What is the next step in this construction?

bezimeni [28]

<u>Answer:</u>

The correct answer option is B. Construct a line perpendicular to XP through point A.

<u>Step-by-step explanation:</u>

We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.

From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.

So the next step must be to construct a line perpendicular to XP through point A to complete the construction.

8 0

2 years ago

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Class records at rockwood college indicate that a student selected at random has probability 0.75 of passing french 101. for the

Kipish [7]

To get the probability of two individual events both occurring, you have to multiply the probabilities of their individual events occurring. Therefore in this problem, the probability that a student selected at random will pass both French 101 and French 102 is 0.683 (.75 x .91). The answer is already rounded to three decimal places.

4 0

3 years ago

Read 2 more answers

Factor the trinomial below

katrin [286]

That answer is “ D “ Do easy!

4 0

3 years ago

Lori has $450 in her bank account. She withdraws $20 a month for

-Dominant- [34]

Answer:

I cant give you a linear graph but i can give you the equation and you can graph it. y=20x+450