In triangle ABC,of angle A=angle B=45°,name the longest side.

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

in the figure below, lines a and b are straight and parallel to each other, which angles must be congruent to<1

vlabodo [156]

You have to show a figure

8 0

3 years ago

If a polygon is rotated, which of the following characteristics of the polygon will always be the same? Select ALL that apply.

ASHA 777 [7]

Answer:

When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.

This tell us that the main measures of any rotated shape will not change.

Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.

And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.

The only thing that changes will be the coordinates of our polygon.

4 0

3 years ago

Suppose a researcher is testing someone to see if he or she can tell Soda X from Soda Y, and the researcher is using 28 trials

AlladinOne [14]

Answer:

The probability that a person will get 17 or more right, if the person is truly guessing, is about 12.9%.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

Step-by-step explanation:

The system of hypothesis fo this case are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p >0.5$

That's a upper right tailed test.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

And this value allows to reject or not the null hypothesis.

If $p_v$ we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

If $p_v>\alpha$ then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.