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3 years ago

Valid?? A. True B. False

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

5 0

Answer:

it's valid true the cat is cute

IgorLugansk [536]3 years ago

5 0

Answer:

A. Very valid

Step-by-step explanation:

Saying this because very cute cat

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A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independen

Sunny_sXe [5.5K]

Answer:

1) $\hat \beta_1 =\frac{466}{234}=1.991$

2) $\hat \beta_o = 18.89 -1.991 (9)=0.970$

3) $SSR= SST-SSE= 1434-505.98=928.02$

4) $r=\frac{466}{\sqrt{[234][\sum(1434]}}=0.804$

And the determination coeffecient is $r^2 = 0.804^2 =0.647$

Step-by-step explanation:

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

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.

Data given

n=10 $\sum (x-\bar x)(y-\bar y) =466,\sum (x-\bar x)^2 =234 , \sum(y-\bar y)^2 =1434$

Part 1

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{466}{234}=1.991$

Part 2

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=90/10 = 9. \bar y= 170/9=18.89$

And replacing we got:

$\hat \beta_o = 18.89 -1.991 (9)=0.970$

Part 3

For this case we have the SSE=505.98 who represent the sum of squares for the error.

The total sum of squares is given by $SST \sum (y-\bar y)^2 = 1434$

And since the total variation is the sum of squares for the regression and the error we have this:

$SST= SSR+SSE$

And solving for SSR we got:

$SSR= SST-SSE= 1434-505.98=928.02$

Part 4

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=10 $\sum (x-\bar x)(y-\bar y) =466,\sum (x-\bar x)^2 =234 , \sum(y-\bar y)^2 =1434$

So we can find the correlation coefficient replacing like this:

$r=\frac{466}{\sqrt{[234][\sum(1434]}}=0.804$

And the determination coeffecient is $r^2 = 0.804^2 =0.647$

4 0

4 years ago

Of 250 student 175 of them walk what is the percent of the student that don't walk

Allushta [10]

It is 70% Because:

250/100 + 175/x

Proportions

6 0

3 years ago

Read 2 more answers

Please help me with this problem:Which properties justify the steps taken to solve the system?{2x−4y=183x+3y=0Drag and drop the

Hatshy [7]

First step.

If we multiply by 3 the first equation and by 2 the second equation we get the first step:

$\begin{gathered} 6x-12y=54 \\ 6x+6y=0 \end{gathered}$

therefore, the answer for the first box is: Multiplication property of equality.

Second step.

If we subtract both equations, we have

$-18y=54$

then, the answer for the second box is: Subtraction property of equality

Third step.

By dividing both sides of our last result by -18, we get

$y=\frac{54}{-18}=-3$

then, the answer for the third step is: Division property of equality.

Fourth step.

Once we have obtained the result for variable y (which is -3), we need to find the result for variable x. So, by substituting our result for y into the first equation, we have

$2x-4(-3)=18$

Therefore, the answer for the fourth box is: Substitution property of equality.

Fifth step.

Then, by simplifying our last result, in which there is a product of -4 and -3, we get

$2x+12=18$

Thefore, the answer for the fifth box is: Simplify.

Sixth step.

Now, by subtracting 12 to both sides, we have

$2x=6$

then, the answer for the sixth box is: Subtraction property of equality.

Seventh step.

Finally, by dividing both sides by 2, we obtain

$x=3$

Then, the answer for the seventh box is: Division property of equality.

5 0

1 year ago

Please help! Final problem for tonight

DedPeter [7]

(4x-6)+(8x+18)=180(adjacent angles are supplementary)

4x-6+8x+18=180

4x+8x-6+18=180

12x+12=180

12x=180-12

12x=168

x168/12

x=14

8x+18=y+3 (corresponding angles are equal)

8×14+18=y+3

130=y+3

-y=3-130

-y=-127

y=127

x=14, y=127

8 0

3 years ago

Read 2 more answers

Charlie makes $34 an hour and will get a 20% raise starting next week. Choose True or False for each statement.

Soloha48 [4]

Answer:

false

Step-by-step explanation:

it false

7 0

3 years ago