Help!<br> Find x.<br> X=<br> 7<br> 7square root2<br> square root (14)

Inverse function of y=1-x/7

Romashka-Z-Leto [24]

Answer:

x = (7,0)

y = (0,1)

Step-by-step explanation:

4 0

3 years ago

Write the first four terms of the sequence defined by the given rule: f(n)=n+4

matrenka [14]

Answer:

5, 6, 7, 8

Step-by-step explanation:

f(n) = n + 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

3 0

3 years ago

Use the given data to find the best predicted value of the response variable. Ten pairs of data yield requals0.003 and the regre

Arada [10]

Answer:

$\hat y=3(2) +2=8$

Step-by-step explanation:

Data given

r=0.003 represent the correlation coefficient

$bar y =5$ represent the sample mean for the y observations

Solution to the problem

We assume that they use least squares in order to find the best regression model. The slope is given by the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

And the slope on this case is:

$m=3$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=5$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x=5-(3*\bar x)=2$

So the line would be given by:

$\hat y=3x +2$

And the best predicted value for x=2 would be:

$\hat y=3(2) +2=8$

3 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

Calcule la ecuación general de la recta que pasa por la intersección de la recta:

adell [148]

La ecuación general de la recta es x + 3 · y = - 15.

<h3>¿Cómo determinar la ecuación de una recta?</h3>

Según la geometría, una recta es generada por la existencia de dos puntos distintos y en este problema debemos hallar una ecuación de la recta que pasa por la intersección de las dos rectas y otro punto. Primero, determinamos la solución del sistema de ecuaciones lineales para conocer la localización del primer punto:

7 · x - 15 · y = 39 (1)

5 · x + y = - 19 (2)

The solución del sistema de ecuaciones lineales is (x, y) = (- 3, - 4).

Segundo, determinamos la pendiente de la recta mediante la fórmula de la recta secante:

m = [- 6 - (- 4)] / [3 - (- 3)]

m = - 1 / 3

Tercero, determinamos el intercepto a partir de la ecuación de la recta:

b = y - m · x

b = - 6 - (- 1 / 3) · 3

b = - 6 + 1

b = - 5

Finalmente, determinamos la ecuación de la recta en su forma general:

y = (- 1 / 3) · x - 5

(1 / 3) · x + y = - 5

x + 3 · y = - 15

La ecuación general de la recta es x + 3 · y = - 15.

Para aprender más sobre la ecuación general de la recta: brainly.com/question/19588565

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7 0

2 years ago

Help! Find x. X= 7 7square root2 square root (14)