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umka21 [38]
3 years ago
8

3. Please answer the following questions: a. What criterion in regression are we trying to minimize when we estimate our regress

ion model? a. b. Write down the population regression model. a. c. What are the assumptions we make when we estimate a regression model?
Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer:

Regression : Impact of y on x ; Regression Function : y = a + b(x)

Optimum Least square criteria, with assumptions - linear parameters, homoscedasticity, no autocorrelation, no multicollinearity.

Step-by-step explanation:

Regression is a statistical tool used to calculate the impact of independent/ explanatory variable (x) on dependent variable (y). Eg : Impact of temperature on ice cream sales.

Population regression function is linear function, establishing a hypothetical theoretical relationship between independent variable x & dependent variable y.

Regression Equation is : y = a + b(x)  ;

where : a is the autonomous value of dependent variable y ; b represents the coefficient of change in dependent variable y due to change in independent variable x.

Optimum Least Square method criterion is used while estimating regression model. The criteria minimises the squares of residuals, where residuals are the differences between observed values & estimated values. It is used as a measure of how well the estimated regression line fits the actual data.

Assumptions made while an OLS regression model are : Linear in parameters, Homoscedasticity (variables constant errors), No autocorrelation (errors correlation), No multicollinearity ( independent variables' correlation)

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Ber [7]
There is nothing in the space. If there were, then the space would not be blank.
7 0
3 years ago
What is the conversion?
Gelneren [198K]

Answer:

  see below

Step-by-step explanation:

The conversion factor in the box is the product ...

  \dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

8 0
3 years ago
Write the congruency statement for the triangles. _______In triangles MNO and JKL, there are two congruent sides and included an
mafiozo [28]

Answer:

ΔJKL ≅ ΔMNO by SAS

Step-by-step explanation:

The question is incomplete, the question is as following:

ΔMNO is shown.

Which Δ below can be shown to be congruent to ΔMNO with only the given information?

Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).

Write the congruency statement for the triangles.

And see the attached figure which represent ΔMNO

==========================================================

Check the given options to see which triangle from the option will be congruent to ΔMNO

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)

The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.

2. In triangles MNO and DEF, there are two congruent sides - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)

The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)

MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J

5 0
3 years ago
Find the hypotenuse of a 45-45-90 triangle with legs equal to 7
madam [21]

Answer:

Square root of 98

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Anyone know the answer???
Umnica [9.8K]

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

115 = (4k+5) + (6k+10)

Combine like terms

115 = 10k+15

Subtract 15 from each side

115-15 = 10k +15-15

100 = 10k

Divide by 10

100/10 = 10k/10

10 =k

8 0
3 years ago
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