Need an answer please

castortr0y [4]

The value of :-

x = 10root(3) sin 60°
= 10 (3)/2
= 15

y = 10root(3) cos60°
= 5root(3)

3 0

3 years ago

A classroom has more boys than girls, and it has 8 girls. Furthermore, each student in the classroom has at least 2 pencils. Let

Vikki [24]

Answer:

Choices are:

p>30

p<30

p=30

not enough information to tell

Answer is p>30

Step-by-step explanation:

Since there are more boys than girls, there must be at least 9 boys. Plug into equation: (b+8) represents number of students. If they each have at least 2 pencils we would use 2(b+8). Plugging in 9 for the boys we have: 2(9+8)=?

2(17)=34. So with the minimum number of boys there would be at least 34 pencils, so the answer is p>30

3 0

3 years ago

Mohon bantuannya ditunggu secepatnya

Mkey [24]

A is correct. Your welcome :)

5 0

3 years ago

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

The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. (a) Constru

rewona [7]

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the question some data is missing, which is defined in the attached file please find it.

The table for point a:

plot for the Stem-and-leaf:

0 3 4 5 7 4

1 2 2 4 4 5 7 7 7

2 0 3 4 4 5 8 6

3 3 4 7 9 4

4 1

In point b:

Its distributed skewed is correct because in its points 1 is a tail on its right side.

please find the attached file.

8 0

4 years ago