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MaRussiya [10]
3 years ago
10

Math help? 10 points!

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
Yes, the extraneous solution is x=7
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If the coefficient of determination is 0.25 and the sum of squares residual is 180, then what is the value of SSY?
Gennadij [26K]

Answer:

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

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"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2 =180  

And we have this property  

SST==SSY=SS_{regression}+SS_{error}=SSR+180

If we solve for SSR we got:

SSR= SSY-180    (1)

And we know that the determination coefficient is given by:

R^2 = \frac{SSR}{SSY}

We know the value os R^2= 0.25 and we can replace SSR in terms of SSY with the equation (1)  

R^2 =0.25= \frac{SSY-180}{SSY}= 1-\frac{180}{SSY}

And solving SSY we got:

\frac{180}{SSY}=1-0.25=0.75

SSY= \frac{180}{0.75}=240

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

7 0
3 years ago
Given m||n, find the value of x.
Darya [45]

Answer:

x = 19

Step-by-step explanation:

6x+4 + 4x - 14 = 180

10x    - 10 = 180

10 X = 190

x = 19

6 0
3 years ago
Read 2 more answers
a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year
kaheart [24]

Answer:

  6745.09

Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

  FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

  FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09

After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.

7 0
4 years ago
6. Mrs. Martinez graphed the transformation shown below. Which algebraic representation shows the effect of the transformation o
iragen [17]

Answer:

C)

Step-by-step explanation:

3 0
3 years ago
What is 44 hundereths in it's simplest form?
Serga [27]
22/25 i believe... i hope this helps

5 0
3 years ago
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