DELL 5+5 what's a girl Raymond

Which equation of the least squares regression line most closely matches the data set?

Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x 0 2 4 6 8

y 45 51 57 61 75

Let the equation that shows the above data,

y = b + a x ---------(1)

$\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}$

$\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}$

By the above table,

$\sum x = 20$

$\sum xy = 1296$

$\sum x^2 = 120$

$\sum y = 289$

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0

3 years ago

Read 2 more answers

1. Solve and verify each of the following systems of linear equations.

kakasveta [241]

5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ 10x - 5y = 5
 y = -17
 5x - 2(-17) = -6
 5x + 34 = -6
 - 34 - 34
 5x = -40
 5 5
 x = -8
 (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ 10x + 4y = 32
 11y = 2128
 11 11
 y = 193.4545455
 2x + 3(193.4545455) = 432
 2x + 580.3636364 = 432
 - 580.3636364 - 580.3636364
 2x = -148.3636364
 2 2
 x = -74.1818182
 (x, y) = (-74.1818184, 193.4545455)

6 0

3 years ago

Read 2 more answers

Which equation could have been used to create this function table? A.y = x + 9 B.y = x + 10 C.y = 9x D.y = 10x

ycow [4]

The correct answer is a

6 0

3 years ago

Read 2 more answers

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Minchanka [31]

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

7 0

2 years ago

Write a recursive formula for each sequence given or described below.

valentinak56 [21]

Answer:

$a_{n} =a_{n-1} +3000$ and a₁ =30000 for n = 2,3,4,5,6, ......

Step-by-step explanation:

Doug has joined a job with a starting salary of $30000 per year.

Hence, if a₁ is the salary of Doug in the first year, then

a₁ =30000

Now, each year Doug will receive a raise of $3000 in his salary.

Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.

Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.

Therefor, in the similar manner the recursive formula for his salary in each year will be given as $a_{n} =a_{n-1} +3000$ and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)

7 0

2 years ago

DELL 5+5what's a girl Raymond ​

DELL 5+5what's a girl Raymond