Is the relationship between the 7s in 7,742 and the 7s in 7,785 different in any way

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

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

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

Where:

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

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

With these we can find the sums:

And the slope would be:

$m=6$

The means for x and y are given by:

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

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

And we can find the intercept using this:

$b=\bar y -m \bar x$

For this case we know that the line adjusted is:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0

3 years ago

H

Dafna11 [192]

y =mx+b

Im pretty sure that is correct

4 0

2 years ago

Real deal, this is for a presentation where we present our question in full. WHOEVER answers this question SHOWING THE WORK also

xenn [34]

Answer:

-259dot - 12abc3

————————————————

3abc3

Step-by-step explanation:

Dividing exponential expressions :

a2 divided by a3 = a(2 - 3) = a(-1) = 1/a1 = 1/a

b3 divided by b4 = b(3 - 4) = b(-1) = 1/b1 = 1/b

Equation at the end of step 3: -7

(37 • —————) - 4

3abc3

Rewriting the whole as an Equivalent Fraction:

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3abc3 as the denominator :

4 4 • 3abc3

4 = — = —————————

1 3abc3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator:

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-259dot - (4 • 3abc3) -259dot - 12abc3

————————————————————— = ————————————————

3abc3 3abc3

Pulling out like terms:

Pull out like factors :

-259dot - 12abc3 = -1 • (259dot + 12abc3)

Trying to factor as a Sum of Cubes:

Factoring: 259dot + 12abc3

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 259 is not a cube !!

-Hope this helped

3 0

2 years ago