Please help I will mark brainliest if you help

What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box. r≈ Age S

Free_Kalibri [48]

There are two data sets x and y.

X includes = 14 25 19 35 20 12 5

Y includes = 360 293 315 212 315 331 404

to solve for the correlation coefficient, we need to get the following values step by step

Step 1: Find the mean of each set.

The mean of X = 18.571

The mean of Y = 318.571

Step 2: Subtract the mean of X from every value X value (denote this with letter a). Do the same for y (denote this with letter b).

The mean of X subtracted from every X value (a):

14 - 18.571 = -4.571

25 - 18.571 = 6.429

19 - 18.571 = 0.429

35 - 18.571 = 16.429

20 - 18.571 = 1.429

12 - 18.571 = -6.571

5 - 18.571 = -13.571

The mean of Y subtracted from every value of Y (b):

360 - 318.571 = 41.429

293 - 318.571 = -25.571

315 - 318.571 = -3.571

212 = 318.571 = -106.571

315 - 318.571 = -3.571

331 - 318.571 = 12.429

404 - 318.571 = 85.429

Step 3: Calculate: a * b, a^2 and b^2 of every value.

For a*b

-189.388

-164.388

-1.531

-1750.816

-5.102

-81.673

-1159.388

Sum: -3352.286

For a²

20.898

41.327

0.184

269.898

2.041

43.184

184.184

Sum: 561.714

For b²

1716.327

653.898

12.755

11357.469

12.755

154.469

7298.041

Sum: 21205.714

Step 4: Solve using this formula

r = ∑a * b / √((a²)(b²))

r = -3352.286 / √((561.714)(21205.714))

= -0.9713

The correlation coefficient is -0.971

8 0

3 years ago

Read 2 more answers

Please help me i need help i'll help you if you help me ! i will mark you as brill

MatroZZZ [7]

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

$Ratio = \frac{2}{7}$

Multiply through by 2

$Ratio = \frac{2*2}{7*2} = \frac{4}{14}$

Multiply through by 3

$Ratio = \frac{2*3}{7*3} = \frac{6}{21}$

Multiply through by 5

$Ratio = \frac{2*5}{7*5} = \frac{10}{35}$

Hence, the equivalents are: $\frac{4}{14}, \frac{6}{21}, \frac{10}{35}$

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

$Ratio = 1.5 * 2\ to\ 3.5 * 2$

$Ratio = 3\ to\ 7$

Multiply by 3

$Ratio = 1.5 * 3\ to\ 3.5 * 3$

$Ratio = 4.5\ to\ 10.5$

Multiply by 4

$Ratio = 1.5 * 4\ to\ 3.5 * 4$

$Ratio = 6\ to\ 14$

Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

$Ratio = 6.25/5\ to\ 1.25/5$

$Ratio = 1.25\ to\ 0.25$

Multiply by 2

$Ratio = 6.25*2\ to\ 1.25*2$

$Ratio = 12.5\ to\ 2.5$

Multiply by 4

$Ratio = 6.25*4\ to\ 1.25*4$

$Ratio = 25\ to\ 5$

Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

$Ratio = 3 : 3\frac{1}{2}$

Multiply by 2

$Ratio = 3 *2: 3\frac{1}{2}*2$

$Ratio = 6: 7$

Multiply by 4

$Ratio = 3 *4: 3\frac{1}{2}*4$

$Ratio = 12: 14$

Multiply by 6

$Ratio = 3 *6: 3\frac{1}{2}*6$

$Ratio = 18: 21$

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

$Ratio = 1\frac{2}{3} : \frac{5}{4}$

Convert mixed fraction to improper fraction

$Ratio = \frac{5}{3} : \frac{5}{4}$

Multiply by 2

$Ratio = \frac{5}{3}*2 : \frac{5}{4}*2$

$Ratio = \frac{10}{3} : \frac{5}{2}$

Multiply by 3

$Ratio = \frac{5}{3}*3 : \frac{5}{4}*3$

$Ratio = 5 : \frac{15}{4}$

Multiply by 12

$Ratio = \frac{5}{3}*12 : \frac{5}{4}*12$

$Ratio = 20 : 15$

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

5 0

3 years ago

2x-3y=4 -4x+6y=-8. solve by elimination

oksano4ka [1.4K]

$2x-3y=4 \\
-4x+6y=-8 \ \ \ |\div 2 \\ \\
2x-3y=4 \\
\underline{-2x+3y=-4} \\
2x-2x-3y+3y=4-4 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}$

4 0

3 years ago

Read 2 more answers

A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given

asambeis [7]

Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.

Step-by-step explanation:

6 0

3 years ago

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is

Tamiku [17]

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

5 0

3 years ago