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
STALIN [3.7K]
3 years ago
6

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

e output, and then using the descriptive statistics part of the output.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> values respectively.

\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

e=y-\alpha -\beta x

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

You might be interested in
Please help thank you
matrenka [14]

Answer:

25.9 yd

Step-by-step explanation:

a^{2} + {b^{2} }  = c^{2}

(17)^{2} + {b^{2} } = (31)^{2}

289 + {b^{2} }  = 961

Subtract 289 on both sides

{b^{2} }  = 672

\sqrt{b^{2} } = \sqrt{672}

nearest tenth

b = 25.9 yd

7 0
2 years ago
Read 2 more answers
Students sold raffle tickets to raise money for a field trip. The first 20 tickets cost $4 each. To sell more tickets, they lowe
saveliy_v [14]

Answer:

88 Tickets were sold

Step-by-step explanation:

20*$4=$80

$216-$80=$136

$136/2=68

20+68=88 tickets

4 0
3 years ago
The average of a b c and d is p. If the average of a and c is q, what is the average of b and d in terms of p and q?
vodka [1.7K]
P - q i believe because
p = total average
q = average of ac
x = average of bd
p - q = x

4 0
3 years ago
One-half of the sum of 3 times v and twenty-eight
DIA [1.3K]

Answer:

(1/2)(3v+28)

Step-by-step explanation:

of= multiply

sum= add

5 0
3 years ago
Read 2 more answers
Please help ASAP!!!Please explain your answer
nignag [31]

Answer:

Below

Step-by-step explanation:

Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder

A = 2π(11)^2 + 2π(11)(11)

  = 1520.53084....

Rounding to the nearest 10th

  = 1520.5 in^2

Hope this helps!

8 0
3 years ago
Other questions:
  • Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul's typing speed compared to Jennifer's
    14·1 answer
  • I NEED HELP !!!!!!!! 20 POINTS
    11·1 answer
  • The inside of an oven is set to rise to a temperature of 298°F. So far it has risen 76% If this amount.
    12·1 answer
  • SOMEONE please help me!!! pls pls pls!!!
    9·2 answers
  • Simplify the expression. 19m – 4m^2 + 4m^2
    15·2 answers
  • Find the missing value of: What is 13% of 100? <br>​
    14·2 answers
  • Pls help this is kinda hard and it’s due in 45 minutes
    7·2 answers
  • Part A. Write the equation 5 = 10x – 5y in slope-intercept form.
    13·2 answers
  • How much money have you paid to the loan company so far
    12·1 answer
  • (1 + sinA)²-(1 – sinA)²=4sinA​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!