The correlation coefficient tells that every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Using technology

The mean= x bar = 26.4667

The mean = y bar= 0.86

The standard deviation= Sx= 0.2251

The standard Deviation Sy= 0.0438

The Correlation Coefficient= r = -0.8111

The slope= b= r* Sy/Sx= -0.15789

The intercept is 5.0389

(d) Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Here the independent variable is X the sea surface temperature and dependent variable is the Y coral growth.

As the temperature decreases which is along x- axis the growth increases along y axis.

From the given options the option d is the best answer according to the question given.

The same values are calculated using different technology .

brainly.com/question/24183059

6 0

2 years ago

using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nea

defon

Answer:

$d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2$

Step-by-step explanation:

<h2>hope it helps you<3</h2>

4 0

2 years ago

Fill in the table for the exponential function given f(x)=3(2)^n

mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

So we have 2^-1. This is the same as $3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2}$ = a

Now do $3(2^0) = 3$ = b

Then do $3(2^1) = 6$ = c

Finally do $3(2^2) = 12$ = d

6 0

3 years ago

A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expre

melomori [17]

Answer:

y= 8000x + 2000

Step-by-step explanation:

to find the formula we can use the points given in the question:

the slope:

to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria

now using slope-intercept form we can get $\frac{18000-2000}{2-0}$ which gives a slope of 8000 meaning for each hour there are 8000 new bacteria

intercept:

since we start with 2000 bacteria we know this is the y intercept so when x is 0

formula:

y=8000x + 2000

8 0

2 years ago