⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP PLEASEEEE I HAVE 7 MINUTES LEFT ⚠️⚠️⚠️⚠️⚠️

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. L

castortr0y [4]

Answer:

a) First figure attached

b) $\bar x= \frac{\sum x_i}{n}=\frac{16}{4}=4$

$\bar y= \frac{\sum y_i}{n}=\frac{154}{4}=38.5$

c) $S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=78-\frac{16^2}{4}=14$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=548-\frac{16*154}{4}=-68$

And the slope would be:

$m=-\frac{68}{14}=-4.857$

And we can find the intercept using this:

$b=\bar y -m \bar x=38.5-(-4.857*4)=57.929$

So the line would be given by:

$y=-4.857 x +57.929$

d) $r^2 = (-0.941)^2= 0.885$

So then the porcentage of variation explained is 88.5%

And the percentage of unexplained variation would be 100-88.5=11.5%

e) Using the least squares regression:

$y(4) = -4.857*4 +57.929=38.501$

Using the excel equation with the $(\bar X, \bar Y)$ we have:

$y(4) = -3.8578*4 +51.616=36.185$

Step-by-step explanation:

We assume that the data is this one:

x: 0,2,5,6

y: 50,45,33,26

Part a

For this case on the figure attached we see the scatter plot of the data.

Part b

$\bar x= \frac{\sum x_i}{n}=\frac{16}{4}=4$

$\bar y= \frac{\sum y_i}{n}=\frac{154}{4}=38.5$

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

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

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i =16$

$\sum_{i=1}^n y_i =154$

$\sum_{i=1}^n x^2_i =78$

$\sum_{i=1}^n y^2_i =6302$

$\sum_{i=1}^n x_i y_i =548$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=78-\frac{16^2}{4}=14$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=548-\frac{16*154}{4}=-68$

And the slope would be:

$m=-\frac{68}{14}=-4.857$

And we can find the intercept using this:

$b=\bar y -m \bar x=38.5-(-4.857*4)=57.929$

So the line would be given by:

$y=-4.857 x +57.929$

Part c

For this case we add the point (4.38.5) for the data and we got the equation as we can see on the figure attached.

y = -3.8578x + 51.616 (Equation adjusted with Excel)

Part d

$r^2 = (-0.941)^2= 0.885$

So then the porcentage of variation explained is 88.5%

And the percentage of unexplained variation would be 100-88.5=11.5%

Part e

Using the least squares regression:

$y(4) = -4.857*4 +57.929=38.501$

Using the excel equation with the $(\bar X, \bar Y)$ we have:

$y(4) = -3.8578*4 +51.616=36.185$

6 0

3 years ago

-(6r+s) Use distributive property

Rashid [163]

Answer:

-6r - s

Step-by-step explanation:

It's like -1(6r+s)

-1(6r) + -1(s)

7 0

4 years ago

Write an equation in slope-intercept form for the line parallel to y = 5x – 2 that passes through the point (8, –2).

Serga [27]

Answer:

the desired line is y = 5x - 42

Step-by-step explanation:

Any two parallel lines have the same slope. So if we're given y = 5x – 2, the desired parallel line will have an equation with the same form but a different y-intercept. Let's write out y = 5x – 2 and then replace x with 8 and y with -2. We get:

-2 = 5(8) + b, where b is the y-intercept of the new line.

Then b = -42, and the desired line is y = 5x - 42

5 0

3 years ago

The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 1

GenaCL600 [577]

Answer:

Length = 42.5 cm

Step-by-step explanation:

length of rectangle = 5 + 3w

So l = 5 + 3w where w = 12.5

Equation:

L = 5 + 3(12.5)

Solving the Equation:

L = 5 + 3(12.5)

L = 5 + 36 + 1.5

L = 42.5

Length: 42.5 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0

3 years ago

PLEASE HELP<br> no linkss

Feliz [49]

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers