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2 years ago

Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?

Mathematics

1 answer:

e-lub [12.9K]2 years ago

5 0

Answer:

Option B. y = 1.81x + 44.36

Step-by-step explanation:

The graph represents a scatter plot with a positive correlations and has a positive y-intercept.

By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50

We will check which option is true:

A. y = 4.25 x

The equation of option A represents a line pass through the point (0,0)

Which mean y-intercept is 0 and this is wrong.

B. y = 1.81x + 44.36

According to the best line to fit the data option B is true.

Also by substitution with x = 2

y = 1.81 * 2 +44.36 = 47.98

which is near to the actual point on the graph (50)

C. y = 1.81 x ⇒ Wrong ⇒ same explanation of option A

D. y = 4.25 x + 50 ⇒ Wrong

Because the y-intercept will be approximately at the midpoint of 45 and 50

So, The answer is option B. y = 1.81x + 44.36

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

5 0

1 year ago

What is the relationship between the bridge strength and bridge thickness?

ivanzaharov [21]

I need more context to answer this question

7 0

2 years ago

A) 197 degree B) 261 degree C) 211 degree D) 236 degree

Alik [6]

Answer:

Option D.) 236 degrees

Step-by-step explanation:

Angle GFE is half of the central angle. Measure of central angle is congruent to it's intersecting arc, therefore;

2 * ∠GFE = Arc GE (?)

2 * 118 = Arc GE (?)

236 = Arc GE (?)

Hope this helps!

8 0

3 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box.

Radda [10]

Answer:

x = 8

y = 6

Step-by-step explanation:

First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.

Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.

Then equating (7x+4)° to 60, we have that,

7x+4=60

7x=60-4

7x=56

x=56÷7

x=8.

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1 year ago

What’s 1+1= ? Equal too?

telo118 [61]

Answer:

2. There is also an irrelevant joke that 1 plus 1 equals window.

Step-by-step explanation:

3 0

3 years ago

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