What is 9x-2?????????????

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

I need help in this section please!!

MrRissso [65]

Answer:

$\frac{1}{25}$

Step-by-step explanation:

Probability of first yellow ball $=\frac{total\ yellow\ ball}{Total\ ball}=\frac{2}{10}=\frac{1}{5}$

Since first ball is again placed in the bag

Probability of second yellow ball $=\frac{total\ yellow\ ball}{Total\ ball}=\frac{2}{10}=\frac{1}{5}$

These two are independent events so the probability of both yellow balls= $=\frac{1}{5} \times \frac{1}{5} =\frac{1}{25}$

7 0

3 years ago

The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

garri49 [273]

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

3 0

3 years ago

The table and graph both represent the same relationship.

Llana [10]

Answer:

x = 1

Step-by-step explanation:

From the table shown in the picture,

For input value x = 1, output values of y = 2, 4, 6, 8, 10

Similarly, from the graph shown,

For input value x = 1, output values of y = 2, 4, 6, 8, 10

Therefore, both will represent the same relationship.

From the graph attached, straight line parallel to y-axis is x = 1.

Therefore, x = 1 will be the correct option.

3 0

3 years ago

Use the ratio go solve the percent problem

Drupady [299]

Answer
40%
32 is what percent of 80? =40.

5 0

4 years ago