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tekilochka [14]
2 years ago
6

Determine which of the following relations represents a function

Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

Answer:

B

B is the only one where the x-value doesn't have two y-values

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
suppose that unit price p in dollars for a quantity demanded X of a certain product of a company is given by p=-0.08+620 (0 <
77julia77 [94]
I am sorry, I would love to help but I am not sure. Good luck anyways. :(
7 0
3 years ago
A garage sells 12 different models of a car in 9 different colours.
fomenos

Answer:

108

Step-by-step explanation:

12 x 9 =108

7 0
3 years ago
Read 2 more answers
Solve the equation for z <br>5z-8=32<br>A. z=4<br>B. z=4.8<br>C. z=6<br>D. z=8​
nadezda [96]

Answer:

Z=8 is the answer

Step-by-step explanation:

first, you add 8 to both sides which leaves you with 5z=40. then after that you divide both sides by 5 which leaves you with 5/5z = 40/5. then buy dividing 5 by 5 its leaves you with 1 which is equal to z because blank variables equal 1. On the other side if the equation 40 by 5 is 8 so that leaves you with z=8

5 0
2 years ago
Read 2 more answers
Me ayudan con el problema dice Arturo compro 6 quesos de 1/4 de Kg cada uno Cuantos Kg de queso tiene?
stepladder [879]

Answer:

1 1/2 kg de queso

Step-by-step explanation:

De la pregunta anterior, sabemos que:

1 queso = 1/4 kg

6 quesos = x kg

Multiplicar cruzada

1 queso × x kg = 6 quesos × 1/4 kg

x kg = 6 quesos × 1/4 kg / 1 queso

x kg = 3/2 kg

x kg = 1 1/2 kg de queso

6 0
3 years ago
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