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
Aneli [31]
3 years ago
13

When utilizing ANOVA, what does the between group sum of squares measure?

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

As we can see the sum of squares between represent the sum of squared deviations between each group mean and the mean across all groups.

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

So then the best option is:

b. The sum of the squared deviations between each group mean and the mean across all groups

You might be interested in
A financial analyst has determined that there is a 23 % probability that a mutual fund will outperform the market over a 1 -year
iVinArrow [24]

Answer:

23%

Step-by-step explanation:

If in any year there is a 12% chance that a mutual fund will outperform the market, that is in a mutually exclusive situation where the previous years performance is not considered. In this situation where trying to calculate the probability of a mutual fund outperforming the market 2 years in a row, the answer will be 23% as according to the calculations done by the financial analyst where the probability is calculated in a situation dependent on the previous years performance.

5 0
3 years ago
PLS HELP ME AS SOON AS POSSIBLE
Veseljchak [2.6K]

Answer:

7a. D)

7b. $78

Step-by-step explanation:

7a: We're given the information that there's a daily fee of $50 and $0.35 per mile driven, which is m. We can write "$0.35 per mile driven" as 0.35m. Then, the total amount of money it costs represented as an expression is 50 + 0.35m, thus, making it answer D).

7b: In this problem, we have to take our previous expression 50 + 0.35m, plug in the value of m, and simplify.

  • 50 + 0.35(80)
  • 50 + 28
  • 78

Thus, the answer is $78.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
Help i need Help im struggling ​
HACTEHA [7]

Answer:

c.2,400 I think is c. nose you

Step-by-step explanation:

╮(╯_╰)╭

8 0
3 years ago
In an 80/20 mortgage, what is the first mortgage used for?
ludmilkaskok [199]

Answer:

i think its letter B. 20% down payment

5 0
2 years ago
Multiply the polynomials.<br> (4x- + 4x + 6)(7x + 5)
SashulF [63]

\implies {\blue {\boxed {\boxed {\purple {\sf {   \: 28 {x}^{3}  + 48 {x}^{2}  + 62x + 30}}}}}}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

(4 {x}^{2}  +  4x + 6)(7x + 5)

= \: 7x(4 {x}^{2}  + 4x + 6) + 5(4 {x}^{2}  + 4x + 6)

=  \: 28 {x}^{3}  + 28 {x}^{2}  + 42x + 20 {x}^{2}  + 20x + 30

Combining like terms, we have

=  \: 28 {x}^{3}  + (28 {x}^{2}  + 20 {x}^{2} ) + (42x + 20x) + 30

=  \: 28 {x}^{3}  + 48 {x}^{2}  + 62x + 30

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

3 0
3 years ago
Other questions:
  • Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given byx=−4v−3u−1, y=3−4u−5v.(a) Find the absolute
    13·1 answer
  • Hat are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.
    7·2 answers
  • Identify the equation of the line with the given slope and Y intercept,
    5·2 answers
  • Please help Please help<br> The side length of a cube is 6 cm. What is the volume of the cube?
    13·2 answers
  • The table shows a function.
    7·1 answer
  • What value of x makes this equation true? -100 + x = -190
    5·2 answers
  • Can someone please help!! I’m stuck on this question
    11·1 answer
  • If the radius of a circle is 44 cm, then what is the diameter?
    9·2 answers
  • -5r- (6r- 1)<br> Whats the answer?
    7·1 answer
  • Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!