Ask question

Ask question

All categories

3 years ago

12

Find the linear equation from Slope of 4; y-intercept of - 5

1 answer:

Gemiola [76]3 years ago

8 0

The general equation is y = mx + b where m is the slope and b is the y intercept

Therefore, substituting the numbers in;

y = 4x - 5

You might be interested in

The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the

EastWind [94]

C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio

7 0

3 years ago

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

Solve this quadratic equation. x^2+2x-22=0

torisob [31]

X=⁻3 and x=1
because
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22

7 0

3 years ago

What two numbers can you multiply to get 84?

svet-max [94.6K]

84 ÷ 2 = 42

Check it to make sure.

2 × 42 = 84

42 and 2 can be multiplied to get 84.

7 0

3 years ago

Help w this also! please<3

jolli1 [7]

Answer:

equation for line: y = 5/3x -7/3

Step-by-step explanation:

The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.

Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:

(2,1) x=2,y=1

1 = 5/3*2 + c

1 = 10/3 + c

1 - 10/3 = c

3/3 - 10/3 = c

-7/3 = c

The final eqaution of the line is: y = 5/3x -7/3

7 0

3 years ago