A certain department store keeps track of an age and an annual income of customers who have its credit card. From a sample of 820 of such customers the following descriptive statistics had been obtained: the average age was 41 years with the standard deviation of 16 years and the average annual income was $37,290 with the standard deviation of $2,850. The correlation between the age the annual income was found to be 0.34. Answer the following questions. (Round your answers to 2 places after the decimal point).
Calculate the value of a slope.
a) 309.23 $ per year of age
b) 60.56 $ per year of age
c) 192.43$ per year of age
d) None of the above

Answers

Answer 1

Answer: b) $60.56 per year of age

Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.

Regression line is a line graph that best fits the data. Like any other line, its formula is given by

y = mx + b

with

m being the slope

b the y-intercept

The slope of the line, correlation and standard deviations of the two variables have the following relationship:

[tex]m=r\frac{S_{y}}{S_{x}}[/tex]

where

r is correlation

[tex]S_{y}[/tex] is standard deviation for the y data

[tex]S_{x}[/tex] is standard deviation for the x data

For our problem:

r = 0.34

[tex]S_{y}=[/tex] 2850

[tex]S_{x}=[/tex] 16

Calculating

[tex]m=0.34(\frac{2850}{16})[/tex]

m = 60.56

Slope for the regression line of annual income per year of age is 60.56.

Related Questions

Give the answer for this logic with solution: "I am a two-digit number. The sum of my digits is 9. My ones digit is twice my tens digit."

Answers

Answer:

Step-by-step explanation:

Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.

Answers

Answer:

-4i

Step-by-step explanation:

Answer:

14i

Step-by-step explanation:

(-2+5i)-(-2+9i)

remove () because they are unneeded

-2+51--2+9i

-2+5i+2+9i

0+14i

14i

Simplify completely****

Answers

Answer:

[tex]\displaystyle \frac{x + 7}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]

Step 2: Simplify

[Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 7}{3}[/tex]

um help me plz!!!!!!!!

Answers

Answer:

Step-by-step explanation:

substitute x for 3

4(3)+2/2

Use PEMDAS

12+2/2

14/2

Divide

The answer is 7.
If you replace x with 3, you are left with the equation 4(3)+2 divided by 2. When you multiply you get 12+2=14/2 is 7

A circle has a central angle of 6 radians that intersects an arc of length 14in

Answers

c=2pir

arclength/circumference=centralangle/2piradians

14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r

well,
um
the answer is B

-3x =21
1/3x =6
-1/2x =-7

Answers

-3x = 21
Divide -3 from both sides and you get x = -7

1/3x = 6
Divide 1/3 from both sides and you get x = 18

-1/2x = -7
Divide -1/2 from both sides and you get x = 14 (you get a positive answer from 2 negatives)

Dividing 1/3 is just multiplying by 3, and dividing -1/2 is just multiplying by -2

What is 57x67÷78
Me will give brainliest
Thx in advance

Answers

Answer:

48.9615384615

Step-by-step explanation:

hope this helps!!!

57 × 67 ÷ 78

57 × 67 = 3819

3819 ÷ 78 = 48.9615

Ken drinks 2/7 of a carton of milk each day. How much milk does drink in 3 days?
"Answer at the bottom"

Answer should be
3x2=6
6/7

Answers

Answer:

This answer is correct.

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

2 x 3 = 6

1 x 7 = 7

Find the unit rate. 108 people 12 days people : days = (Type whole numbers or decimals.)

Answers

108 people 12 days

the people:days=108:12

BUT this is not simplified of course

We simplify ratios like a fraction.

We can see that both numbers are divisible by 12

So we can do

108÷12/12÷12=9/1 (answer)

To know that both are divisible by 12 isn't hard as long as you are observant and are good with numbers and the divisibility rules of 2 and 3.

I'm doing an area of the triangle can you help me

Answers

Answer:

72cm

Step-by-step explanation:

Area = b times h / 2

so 12 times 12 /2

144 / 2

Bella the Chihuahua weighs 5 1/2 pounds. What is Bella's weight in Kilograms?

Answers

About 2.495 I think

shape?
6. What is the volume of the following

A 144 cm
B. 72 cm3
C. 432 cm3
D. 216 cm

Answers

Answer:

Step-by-step explanation:

v=1/3Ab*h= 1/3(72)*6

72*2= 144 cm3 so

if my answer helps please mark as brainliest.

Scientific number 0.000001019

Answers

Answer:

Yup that's a scientific number alright.

Answer:

Step-by-step explanation:

The scientific notation 1019e-9 is same as 1019×10^-9 or 1019×10-9. Thus, to get the answer to 1019e-9 as a decimal, we multiply 1019 by 10 to the power of -9.

(giving brainiest)

tell how you solved the question

Answers

Answer:

Step-by-step explanation:

4000

12. Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference in their weights is 170 tons. Use elimination to solve the system of equations to find the weight of each train. a + b = 312 a-b= 170 a + b = 312 a - b = 170

Answers

Answer:

a = 241

b = 71

Step-by-step explanation:

a + b = 312 (#1)

a - b = 170 (#2)

(#1) + (#2) = 2a = 482.

a = 482 / 2 = 241.

b = 312 - 241 = 71.

I really really need help

Answers

Answer:

i have no idea

Step-by-step explanation:

PLEASE HELP

The value of Amy's car depreciated each year after she bought it. The function v(t) = 24, 893(0.88) represents the value of Amy's car t years after she bought it. What is the rate of depreciation?

Answers

Answer:

12%

Step-by-step explanation:

1 - 0.88= 0.12 x 100 = 12

I need help! ANSWER THIS QUICK

Answers

Answer:

Step-by-step explanation:

Diameter = 84 km

Radius = 84/2 = 42 km

Area of circle = πr²

= 3.14 * 42 * 42

= 5538.96 km²

1) 3x – 2y = 2
y = 2x + 8
alguien que me ayude con esto no lo entendemos gracias

Answers

{ 3x-2y=2
{ y=2x+8

{ -2y=2-3x
{ y=2x+8

{ y= -1+3/2x
{ y= 2x+8

-1+3/2x = 2x+8
x=-18

y= 2(-18)+8
y= -28

(x,y) = ( -18,-28)

——
Solution check

{ 3(-18)-2(-28)=2
{ -28=2(-18)+8

{ 2=2
{ -28=-28

0.0095 = _________. is percent

Answers

Answer:

0.95%

Step-by-step explanation:

hope this helped--

Answer:

9.5 %

Step-by-step explanation:

Mark brainiest if this helped u

Can some please help this the last question I’ll mark brainless

Answers

Answer:

6.25h=50

Step-by-step explanation:

We have 20 weeks left from school before the summer. How many days is left? Show me how you found the answer.

Answers

Answer:

140 days

Step-by-step explanation:

there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.

Hope this helps :)

The answer is 140 days. There are 7 days in one week, and we have 20 weeks left so we need to multiply to find the answer.
7x20=140

solve the equation for t. show your work

5(2t - 3) - 7.5t = 0.5(12 - t)

Answers

Answer:

t=7

Step-by-step explanation:

10t-15-7.5t=6-0.5t

2.5t-15=6-0.5t

2.5t+0.5t=6+15

3t=21

t=7

help plz I don't know the answer plz really answer it

Answers

Answer:

She needs to run 1/2 mile on Saturday.

Step-by-step explanation:

Hope this helps!!

t or f i need help with this

Answers

Answer:

false 5 is an odd

Answer:

Step-by-step explanation:

false

Use distributive property ⅓(6x-18)

Answers

Answer:

2x - 6

Step-by-step explanation:

It would become:

1/3 * 6x - 1/3 * 18

2x - 6

Factor the expression
(x+2)^2-25y^4

Answers

Answer:

(x+2-5y^2) (x+2+5y^2)

Step-by-step explanation:

......,....................

−(x+2+5y2)(5y2−x−2)

This is the right answer.

Multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.write the expression.

Answers

Answer:

[tex]0.035 \times 10 {}^{2} [/tex]

0.035 x 10 to the second power

Step

HELP PLEASE FAST 15 and 16 how to solve PLEASE

Answers

Answer:

15. 6

16. 40

Step-by-step explanation:

Use the formula for pythagorus: c^2 = a^2 + b^2

15. 10^2 = 8^2 + b^2

100 = 64 + b^2

*minus 64 on both sides

36 = b^2

*square root both sides

b = √36 = 6

16. c^2 = 24^2 + 32^2

c^2 = 576 + 1024

c^2 = 1600

*square root both sides

c = √1600 = 40

Hope this helps :)

1) 164

2) 1600

because a^2 + b^2 = c^2 <3

Find the Central arc measure

Answers

Answer:

The central arc measure is 125.

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