Sebastian made the following model to find the product 17

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

A book sold 35,100 copies in its first month of release. Suppose this represents 9.2% of the number of copies sold to date. How

inessss [21]

Answer:

Total number of copies sold till date are 381522.

Step-by-step explanation:

It is given in the question the book sold 35100 copies in its first month of release and this number is 9.2% of the number of copies sold till date.

To find is how many copies have been sold.

Let the total number of copies sold be = A

Therefore 9.2% × A = 35100

$\frac{9.2}{100}A=35100$

$A=\frac{35100\times 100}{9.2}$

A = 381521.74 ≅381522 copies

3 0

3 years ago

What is the product? 2y/y-3 multiply 4y-12/2y+6

Scrat [10]

Answer: the answer is attached

Step-by-step explanation:

2y/y-3. 4y-12/2y+6

Download docx

4 0

3 years ago

SOME ONEEE PLZZ HELPP MEEEE

Dominik [7]

Answer:

2.5

Step-by-step explanation:

The minimum value is the minimum y-value a function includes. In this case, since you can see the function is periodic (it repeats itself <em>periodically</em>, hence periodic) and the smallest y-value the function encounters is 2.5 (doesn't go below this value), the minimum y-value is 2.5. I hope this made sense. If not, feel free to let me know.

6 0

2 years ago

The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea

nirvana33 [79]

Average reading score is given by the expression,

y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = $\frac{3.978}{0.153}$

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

Therefore, 1996 is the year in which the average reading score will be 259.378.

Learn more,

brainly.com/question/2883790

3 0

2 years ago