1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Diano4ka-milaya [45]
3 years ago
8

A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (

in millimeters per year) over a several-year period at different locations. Here are the data:
Sea Surface Temperature 29.69 29.87 30.16 30.22 30.48 30.65 30.80
Growth 2.63 2.57 2.67 2.50 2.47 2.38 2.25


Required:
a. Find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y.
b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)
c. Say in words what the numerical value of the slope tells you.
Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sea Surface Temperature (x) : 29.69 29.87 30.16 30.22 30.48 30.65 30.80

Growth : (y) 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Mean (x) :

Σ(X) / n

n = number of observations

Mean (m1) = Σ(X) / n = 211.87 / 7 = 30.27

Standard deviation(sx) = 0.3742 (using calculator)

Mean (m2) :

Σ(y) / n = 17.47 / 7 = 2.50

Standard deviation(sy) = 0.1354 ( using calculator)

Correlation (r) :

(1/n)Σ[(x - m1) / sx] × [(y - m2) /sy]

Using calculator to save computing time :

r = - 0.8642

b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)

The least square line using the regression calculator :

y = -0.31 + 11.96x

Comparing to the regression equation format :

y = mx + c

Where ;

-0.31 = intercept ; 11.96 = slope ; x = independent variable ; y = dependent variable

c. Say in words what the numerical value of the slope tells you.

For every 1° degree rise in surface temperature, growth increases by 11.96

You might be interested in
Marge cuts 16 pieces of tape. each piece is 3/8 inches long. how much tape did she use
hoa [83]
16 x 3/8 so 16/1 x 3/8 = 48/8. 48 divided by 8 is 6. So 6 inches.
3 0
3 years ago
Find the zeros of x3 +2X^2-23x-60
laila [671]
Hello,

P(x)=x^3+2x²-23x-60
P(-4)=(-4)^3+2*(-4)²-23*(-4)-60=0
P(-3)=(-3)^4+2*(-3)²-23*(-3)-60=0
P(5)=5^3+2*5²-23*5-60=0
Zeros are -4,-3,5


5 0
3 years ago
3. Edward tells Tom and his brother that any two different gym memberships will eventually have a month in which they are the sa
ivann1987 [24]
Possible if they dont have to pay on the same months
4 0
3 years ago
If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.
mixer [17]

Answer:

Step-by-step explanation:

It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.

From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.

7 0
2 years ago
I need help with this problem
Serga [27]
It’s 0.09 or .09. Hope this helps:)
3 0
3 years ago
Other questions:
  • Which ordered pairs are in the solution set of the system of linear inequalities? y &gt; -1/2x y &lt;1/2 x + 1
    5·1 answer
  • there are 3 orange fish, 3 red fish, 1 white fish I the fish tank. how many fish are in the fish tank ​
    7·2 answers
  • A dvd is marked down 15% the regular price is $12 what is the sale price?
    5·2 answers
  • X =<br><br><br>A.1<br><br>B.3<br><br>C.7<br><br>Picture Provided Below
    15·1 answer
  • If AB=29cm and angle A= 25 degrees, what is AC to the nearest centimeter
    10·1 answer
  • When the numbers used to estimate are less than the actual numbers provided, the product will be?. Single choice.
    13·2 answers
  • At a track meet, Jacob and Daniel complete in the 220 m hurdles. Daniel finishes in 3/4 of a minute. Jacob finishes with 5/12 of
    11·2 answers
  • The volume of a particular die is 12100 mm3. Use the fact that 10 mm equals 1 cm to convert this volume to cm3.
    10·1 answer
  • Which fraction is equivalent to —(7/8)?
    5·1 answer
  • PLEASE HELP - mid term review question!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!