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Pavel [41]
3 years ago
15

PLZ ANSWER ASAP!!!!! Part B

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

The equation of the linear regression  is \^ y = 3.58125\^x + 202.575

<h3>Graphing tool</h3>

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

<h3>The equation</h3>

From the graphing tool, we have the following calculation summary

  • Sum of X = 440
  • Sum of Y = 3601.5
  • Mean X = 44
  • Mean Y = 360.15
  • Sum of squares (SSX) = 1440
  • Sum of products (SP) = 5157

The regression Equation is then represented as:

\^y = b\^x + a

Where:

b = \frac{SP}{SSX} and a = \bar y - b \times \bar x

b = \frac{5157}{1440}

b = 3.58125

Also, we have:

a = \bar y - b \times \bar x

a= 360.15 - (3.58\times 44)

a = 202.575

So, the linear regression equation is:

\^ y = 3.58125\^x + 202.575

Read more about linear regression at:

brainly.com/question/17844286

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consider a wire 2 ft long cut into two pieces. one piece forms a circle with radius r and the other forms a square with side len
makkiz [27]

The formula for the radius r in terms of x . and for the maximum areas is x=2/\pi+4

Given that,

y forms a circle of radius r

y=2\pir

r=y/2\pi

(2-y)- forms Square Side x

(2-y) = 4x

x=(2-y)/4

Now Sum of Area's=Area of Square +Area of Circle

Sum = \pir² + x²

Substitute the r and x values in above equation,

A(y)= y²/4\pi+(y-2)²/ 16

To maximize Area A(y)

A'(y)= 0

2y/4\pi + 2(y-2)/16 =0

y/2\pi + (y-2)/8 =0

y = 2\pi/\pi+4

Y max will be max, x to be maximum.

for maximum sum of areas,

x=2/\pi+4

Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/\pi+4

Learn more about Area :

brainly.com/question/28642423

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1 year ago
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
g100num [7]

Answer:

They are congruent by HL

Step-by-step explanation:

7 0
2 years ago
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Madison earned $80 last month pet sitting in her
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Answer:

26

Step-by-step explanation:

Subtract

4 0
3 years ago
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Laura earns $8.50 per hour baby-sitting for her neighbor. How much will Laura
Alex

Answer:

Just multiply the money per hour by the number of hours

Step-by-step explanation:

8.50•6.5

7 0
3 years ago
Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants
musickatia [10]

Answer:

We need a sample size of at least 1161.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error for the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.22

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large a sample should she take?

We need a sample size of at least n.

n is found when M = 0.02

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}

0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}

\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}

(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}

n = 1160.88

Rounding up

We need a sample size of at least 1161.

7 0
3 years ago
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