The smaller triangle is dilated to create the larger triangle. The center of

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 florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th

Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

$nPr = \frac{n!}{(n - r)!}$

Substitute 5 for n and 4 for r

$5P4 = \frac{5!}{(5 - 4)!}$

$5P4 = \frac{5!}{1!}$

$5P4 = \frac{5*4*3*2*1}{1}$

$5P4 = \frac{120}{1}$

$5P4 = 120$

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0

3 years ago

Just go down the row and say yes no yes no in order!you don't have to type the whole thing out

tangare [24]

Answer:

1) yes

2) no

3) yes

4)no

5)no

Step-by-step explanation:

8 0

3 years ago

A library database shows the total number of books checked out at any given time as a negative number. What are the possible num

Black_prince [1.1K]

Answer:

LED Lights

Step-by-step explanation:

Blue- Sad

Yellow- Happy

Red-Mad

Green-Disgusting

Purple - Scared

7 0

3 years ago

Help me solve this question please for 10 points

ankoles [38]

Answer: D for the first one and B for the second

Step-by-step explanation:

3 0

2 years ago