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Alexeev081 [22]
3 years ago
9

The graph shows the function f(x).

Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0
-2 that's the answers
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Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the de
Rufina [12.5K]

Answer:

m=-\frac{7600}{8250}=-0.921

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

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2

And we can find the intercept using this:

b=\bar y -m \bar x=104.2-(-0.921*55)=104.707

So the line would be given by:

y=-0.921 x +104.707

Step-by-step explanation:

For this case we have the following data given:

Demand (x): 10,20,30,40,50,60,70,80,90,100

Price (y): 141 , 133,126, 128,113,97, 90, 82,79,53

We want to construct a linear model like this:

y = mx +b

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 =550

\sum_{i=1}^n y_i =1042

\sum_{i=1}^n x^2_i =38500

\sum_{i=1}^n y^2_i =115882

\sum_{i=1}^n x_i y_i =49710

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}=38500-\frac{550^2}{10}=8250

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=49710-\frac{550*1042}{10}=-7600

And the slope would be:

m=-\frac{7600}{8250}=-0.921

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

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2

And we can find the intercept using this:

b=\bar y -m \bar x=104.2-(-0.921*55)=104.707

So the line would be given by:

p(x)=-0.921 x +104.707

4 0
3 years ago
Drag each expression to show whether it is equivalent to (5·9)+(5·1), 45+15, or 15(3−1).
alexdok [17]
Yyifiditcgg G pjgohsst
6 0
3 years ago
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Susie and Katie received candies on Valentine's Day. Susie received four less candies than Katie. Together, they received 16 tot
andrew11 [14]

Answer: Katie-10 Susie-6

Step-by-step explanation:

Total 16 candies

Susie=k-4

Katie- 10 candies

susie- 6 candies

10+6=16

10-6=4

8 0
3 years ago
2^8-10-15\div3=2 <br> 8<br> −10−15÷3=
Cloud [144]
We want to evaluate the expression:

We follow the order of operations: PEMDAS
Since there are no parenthesis(P), we evaluate the exponents(E)

Next is Division (D)

We can then simplify since we have only subtraction.(S)

Therefore:

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mica and denise are reading the same novel. mica has read 1/2 of the novel, and denise has read 1/3 of the novel. how much more
vovangra [49]
You convert the fractions into 6ths. So 1/3. You would multiply both parts by 2 (top and bottom denominators) and that would be 2/6. 1/2 of 6 is 3/6. So the answer would be 1/6

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3 years ago
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