Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31

Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81

Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31

Using calculator and treating temperature and growth data as samples :

Temperature :

Mean : ΣX/n

n = sample size

Mean temperature (m) = 211.45 / 7

Mean temperature = 30.21°C

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.403

Growth:

Mean : ΣX/n

n = sample size

Mean growth (m) = 17.38 / 7

Mean growth = 2.483 mm/yr

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.161

Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.

The intercept of the graph = 17.812

The slope of the relationship : -0.504


Related Questions

8) There are 6 cups of sugar in 5 batches of cookies. How many cups are in 1 poin
1 batch?

Answers

Answer:

6/5 cups

Step-by-step explanation:

[tex]6 \:cups = 5\:batches\\x\:cups = 1\:batch\\\\Cross\:Multiply\\\\5x = 6\\\\Divide\:both\:sides\:of\:the\:equation\:by\:5\\\\\frac{5x}{5} =\frac{6}{5} \\\\x = 1\frac{1}{5}[/tex]

Y=-6x+15 what is the slope of this function?

Answers

Answer:

slope = -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The line is moving down negatively, and by using rise over run, we can determine that the slope is -6/1

HURRY PLEASE HELP

What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units

Answers

The answer is 11.9 units

First you must set up the distance formula.

[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]

Then, simplify like terms.

[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]

Next, simplify exponents.

[tex]\sqrt{100+16+25}[/tex]

Then, add like terms.

[tex]\sqrt{141}[/tex]

Finally, round to the nearest tenth.

11.9

Condense to a single logarithm: 4 log9 11 - 4 log9 7.
O log9, (44/28)
O log9, (11/7)^4
O log9, (11/28)
log9 (44/7)

Answers

Answer: Log9,(11/7)^4

Step-by-step explanation:

according to the rules of logarithm

1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)

2) the number in front of the log figure becomes an indices

Answer:

log9 (11/7)4

Step-by-step explanation:

got it right on the test

3.89×10^9 in standard form​

Answers

Answer:

3890000000

Step-by-step explanation:

An​ avant-garde clothing manufacturer runs a series of​ high-profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the​ ad, but it has been collecting statistics on the number of phone calls from irate​ viewers:

Answers

Answer and Step-by-step explanation:

Please find attached

select 3 names for the angle.

Answers

Agkhoborixhid my videos hc ickrrkykvic miserly

If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?

Answers

Answer:

2 mi per hour

Step-by-step explanation:

1/3*6=

6/3= 2

2 mi per hour

Answer:

2mph

Step-by-step explanation:

If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.

[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:

[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]

The person is walking 2mph

Find the place value of the product 0.5 multiplied by 2.65

Answers

Answer: 1.325

Step-by-step explanation: I multiplied

How do you solve this question

/

Answers

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

-4 x -5  = 20 (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers​

Answers

Answer:

223 and 224

Step-by-step explanation:

Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.

Answer:

223,224

Step-by-step explanation:

page 1-x

page 2-x+1

2x+1=447

2x=446

x=223

page 1=223

page 2=224

Brainliest is Very Appreciated!

The correct Standard Form of the equation y=−2/7x−11/7

Answers

Answer:

y=-(2)/(7)x-5

Step-by-step explanation:

I'm doing sine, cosine, and tangent and I don't know what an opposite is in the triangle so if anyone can explain it in the most simple terms possible, that'd be great

Answers

Step-by-step explanation:

okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.

Answer:
A side opposite of an angle in a triangle is the angle that’s not adjacent to it.
In other words, an angle will touch 2 sides in a triangle. The one it doesn’t is the opposite angle.
See if the photo below helps you.

A magazine includes a report on the energy costs per year for​32-inch liquid crystal display​ (LCD) televisions. The article states that 14 randomly selected​ 32-inch LCD televisions have a sample standard deviation of ​$3.42 . Assume the sample is taken from a normally distributed population. Construct 98 ​% confidence intervals for​ (a) the population variance sigma squared and​ (b) the population standard deviation sigma .
Interpret the results. ​(a) The confidence interval for the population variance is ​(___,___ ​). ​(Round to two decimal places as​ needed.)
Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)
A. With 98 ​% ​confidence, you can say that the population variance is less than ___.
B. With 2 ​% ​confidence, you can say that the population variance is between nothing and ___ .
C. With 98 ​% ​confidence, you can say that the population variance is between ___ and ___ .
D. With 2 ​% ​confidence, you can say that the population variance is greater than ___
​(b) The confidence interval for the population standard deviation is ​(n___,___​). ​(Round to two decimal places as​needed.)
Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)
A. With 98​% ​confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98​% ​confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2​% ​confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2​% ​confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.

Answers

Answer:

a

The confidence interval for the population variance is ​[tex] 5.49 < \sigma^2 < 37.02 [/tex]  

The correct option is  C

b

The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]

The correct option is  A

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  14

    The standard deviation is  [tex]s = \$3.42[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df =  14 -1[/tex]

=>   [tex]df =  13 [/tex]    

Given that the confidence level is  98%  then that level of significance is  

     [tex]\alpha = (100 -98) \%[/tex]

=>  [tex]\alpha = 0.02[/tex]

Generally the 98% confidence interval for the variance  is mathematically represented as

     [tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}  < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]

=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]

From the chi -distribution table  

     [tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]

and

    [tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]

So

=> [tex]\frac{(14- 1) (3.42)^2}{27.689}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]    

=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]    

Generally the 98% confidence interval for the standard deviation   is mathematically represented as

   [tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}}   < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]

=> [tex]\sqrt{5.49}  < \sigma < \sqrt{37.02 }[/tex]

=> [tex] 2.34 < \sigma < 6.08 [/tex]

justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red?​

Answers

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking

Find both the greatest common factor and the least common multiple of 24 and 30.

Answers

Answer:

24 = 2, 3 , 4, 6, 8, 12, 24

30 = 2, 3, 5, 6, 10, 15, 30

Step-by-step explanation:

Least common for both is 2

Greatest common factor for both is 6

slope = 3/2, (2,7) is on the line

Answers

Answer:

The answer would be 4.5

There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36

Answers

Answer:

It is 3

Step-by-step explanation:

Answer:

It is 3

Step-by-step explanation:

32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و​

Answers

No. of students playing at least one game = 44
Step-by-step explanation:
B = basketball; V = volleyball
n(B) = no of students playing only B
n(V) = no. of students playing only V
n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
n(B) = 32 - 13 ............(Given that 13 play both games)
n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
n(V) = 25 - 13
n(V) = 12
Thus, we have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This can be given as:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44

Answer:

44 students

Step-by-step explanation:

Given parameters:

Number of students playing basketball = 32

Number of students playing volleyball = 25

Number of students playing both = 13

Unknown:

Number of students playing at least one game = ?

Solution:

Let us first find the number of students that play basketball only and volleyball only.

Number of students playing basketball only = 32  - 13  = 19

Number of students playing volleyball only = 25 - 13  = 12

So,

Least number of students that play at least one game  = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;

     = 19 + 12 + 13  

      = 44 students

|-9×+7|+8 is less than or equal to 9​

Answers

Answer:

I don’t think it’s neither less than it equal

Step-by-step explanation:

I could be wrong don’t listen to me :)

Express 7.409 in word form.

Answers

seven and four hundred nine

true or false 2*10=2*10^3​

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*10 = 20

So your equation would look like this:

20 = 2*10^3

10 to the third power is 1000

1000*2 = 2000

2000 is not equal to 20

Hope I helped :)

Please consider Brainliest :)

Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be

Answers

Answer:

x=15ft

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

b^2+64=289

b^2=225

b=15

3g+5
(g-1)(g+6) for g = 3
answer as reduced fraction

please help omg im dying

Answers

Answer:

[tex] \frac{7}{9} [/tex]

Step-by-step explanation:

it seems like you're asking what the solution of each equation is put into a fraction

so, putting in 3 for g gives you

[tex]3(3) + 5 = 14[/tex]

which then goes over

[tex]((3) - 1 = 2)((3) + 6 = 9) = 18[/tex]

which gives

[tex] \frac{14}{18} [/tex]

however, this can be reduced to

[tex] \frac{7}{9} [/tex]

because both 14 and 18 can be divided by 2.

Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.

Answers

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

x = 15/7

or 2.142857..... in decimal

Hope this helps

plz mark as brainliest!!!!!!!

Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.

Answers

thats uhm hard how u do that

Answer:

If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.

Does anyone know this answer

Answers

2. Square root of 112

f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=

Answers

a) 2x

b) 14

c) x^2 -49

d) -1

ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?

Answers

Answer:

11.400 dollars... is the answer

Answer:

$5400

Step-by-step explanation:

9 x 600 = 5400

Divide: 3/8 ÷ 5/12 = ?

Answers

flip 5/12 to be 12/5 to make this equation multiplication

3/8*12/5 = 36/40 = 18/20 = 9/10

The solution of expression is,

⇒ 9 / 10

We have to given that;

To Divide,

⇒ 3/8 ÷ 5/12

Now, We can divide the numbers as;

⇒ 3/8 ÷ 5/12

⇒ 3/8 × 12/5

⇒ 36 / 40

⇒ 18/20

⇒ 9 / 10

Thus, The solution of expression is,

⇒ 9 / 10

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

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