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2 years ago

Does anyone know the answer to this problem?

Mathematics

1 answer:

Mariana [72]2 years ago

6 0

The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

Sum of X = 554
Sum of Y = 4070
Mean X = 69.25
Mean Y = 508.75
Sum of squares (SSX) = 725.5
Sum of products (SP) = 12032.5
Correlation coefficient, r = 0.9768

The regression equation is

ŷ = bx + a

Where:

b = SP/SSX = 12032.5/725.5 = 16.58511

a = MY - bMX = 508.75 - (16.59*69.25) = -639.76912

Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

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15pts and brainliest to whoever can answer

lora16 [44]

9514 1404 393

Answer:

p = 3x+10

Step-by-step explanation:

The attached diagram pretty much explains it.

The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:

(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line

Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:

(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line

The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...

left-side area = x(2x -5)

right-side area = x(x +15)

Then the total area enclosed by the solid line is ...

x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)

The area of the lot extension is the product of its dimensions:

extension area = x·p

We want this to be the same as the area in the solid line, so ...

x·p = x·(3x +10)

Dividing by the coefficient of p (which is x), we have ...

p = 3x +10

5 0

3 years ago

Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of

11111nata11111 [884]

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

5 0

3 years ago

A rollercoaster holds 45 people.There are 387 people waiting to board the rollercoaster . How many times will the rollercoaster

kramer

Answer:

9 times

Step-by-step explanation:

397/45= 8.6 Round to nine because you cant have half rides

5 0

3 years ago

I need help finding the answer to this question.

Lady bird [3.3K]

The answer is b because when you add in the scale factor of 3 it makes all of the coordinates 3 times larger (for example -4 * 3 = -12 and 3 * 3 = 9 so P" = (-12, 9))

4 0

3 years ago

In a sixth grade class at Lincoln Middle School, there are 3 boys for every 4 girls in the class.

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

There are 7 boys all to gather

8 0

3 years ago