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
exis [7]
3 years ago
15

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

Mathematics
2 answers:
Rudiy273 years ago
4 0

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.

TiliK225 [7]3 years ago
4 0

Answer:

y = 3.5 x+ 43.8

Step-by-step explanation:

Verified correct with a K12 test.

You might be interested in
The sum of three consecutive even integers is 36. Let x represent the least consecutive integer.
lubasha [3.4K]
The integers are x, x + 2 and x + 4

x + x + 2 + x + 4 = 36
3x + 6 = 72
3x = 36 - 6 = 30
x = 30/3 = 10

The least numbers is 10
Therefore, the numbers are 10, 12 and 14
4 0
3 years ago
Which statement below is TRUE about |-2| and |-5|?
Ira Lisetskai [31]

|-5| is greater than |-2| because |-5| is 5 and |-2| is 2 and 5 is greater than 2.

6 0
2 years ago
Read 2 more answers
31600 rounded to the nearest thousand is what
Zigmanuir [339]
32000 is your answer

hope this helps
4 0
3 years ago
What is the coefficient for 5x + 3 = 18
erik [133]

Answer: 5

Step-by-step explanation: Let's go over a little algebra terminology.

The number in front of your variable is called your coefficient and a variable is just a letter that represents any number.

So here, your coefficient is 5 since it appears in front of the variable, x.

8 0
3 years ago
Read 2 more answers
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual l
alukav5142 [94]

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

4 0
3 years ago
Other questions:
  • What would the exponent be when 9540000 is written in scientific notation?
    8·1 answer
  • If you were to randomly survey 50 people at 20 random locations across the country (such as parks, malls, restaurants, etc.), wo
    9·2 answers
  • With 128, 134, 140, 146, 152, what’s the next number if the pattern continues?
    12·1 answer
  • Lines m and n are perpendicular. If the slope of m is zero, then the slope of n is
    13·2 answers
  • consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?
    7·1 answer
  • Help plz also show work
    13·1 answer
  • Hi how r u nice to meet u hope your doing well bye
    8·1 answer
  • A contest is being held at a school fair for seventh-grade
    10·2 answers
  • Please really need help on this please
    13·1 answer
  • R = 10% p.a. means, P=?, T=?, I=?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!