Sign In Sign Up Ask an AI advisor

maskoffvon

maskoffvon

01.07.2021 •

Mathematics

You are given the following information about x and y. x y Independent Dependent Variable Variable 15 5 12 7 10 9 7 11
The least squares estimate of b 0 equals .
a. 16.41176
b. â1.3
c. 21.4
d. â7.647

Solved

Show answers

Ответ:

dylannsquats

31.07.2021

b_0 = 16.471

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {15} & {12} & {10} & {7} \ \\ y & {5} & {7} & {9} & {11} \ \end{array}$

Required

The least square estimate b_0

Calculate the mean of x

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{15+12+10+7}{4} =\frac{44}{4} = 11$

Calculate the mean of y

$\bar y = \frac{\sum y}{n}$

$\bar y = \frac{5+7+9+11}{4} =\frac{32}{4} = 8$

Calculate $\sum(x - \bar x) * (y - \bar y)$

$\sum(x - \bar x) = (15 - 11) * (5 - 8)+ (12 - 11) * (7 - 8) + (10 - 11) * (9 - 8)+ (7 - 11) * (11 - 8)$

$\sum(x - \bar x) = -26$

Calculate $\sum(x - \bar x)^2$

$\sum(x - \bar x)^2 = (15 - 11)^2 + (12 - 11)^2 + (10 - 11)^2 + (7 - 11)^2$

$\sum(x - \bar x)^2 = 34$

So:

$b = \frac{\sum(x - \bar x) * (y - \bar y)}{\sum(x - \bar x)^2}$

$b = \frac{-26}{34}$

b_0 = y - bx

$b_0 = 5 - \frac{-26}{34}*15$

$b_0 = 5 + \frac{26*15}{34}$

$b_0 = 5 + \frac{390}{34}$

Take LCM

$b_0 = \frac{34*5+ 390}{34}$

$b_0 = \frac{560}{34}$

b_0 = 16.471

0,0(0 оценок)

Ответ:

ladyty2109

17.06.2021

Term is either a single number or variable or number of numbers and variable multiplied together .Terms are separated by +or - or sometimes by divide

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

F Family and Home Is it Worth Knowing the Gender of Your Child Before Birth?...
H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
F Food and Cooking How to cook crayfish? Everything you need to know...
G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
P Photography and Videography Understanding HDR: How It Works and Why You Need It...
G Goods and services Which TV is better - LCD or Plasma?...
S Sport How to Learn to Pull Up on Monkey Bars?...
L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
C Computers and Internet Where did torrents.ru move to?...

Answers on questions: Mathematics

M Mathematics Find the length of the missing side....
M Mathematics Any two conditions of an object to float on liquid...
M Mathematics Sixty percent of a roof, or 1500 square feet of the roof, has been re-shingled. what is the total area of the roof? a. 90,000 sq ft b. 9000 sq ft c. 25,000 sq ft d. 2500 sq...
M Mathematics Write and expression that represents the difference of 32 and n , multiplied by 10...
M Mathematics Giving ! which function grows at the fastest rate for increasing values of x? you can choose more than 1 btw g(x)=10x+15 h(x)=5x2+x+10 f(x)=2⋅3x...
M Mathematics Rewrite the formula g=square root of ah to fine a and h...
M Mathematics Pls me guys! i m so stuck i m bad at math...
M Mathematics How to solve the equation of -5 v = 60...
M Mathematics The figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net?...
M Mathematics An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. if the stock makes money, then there is a 52% chance that among those...

S Sport S Society and Politics G Goods and services C Cities and Countries A Animals and plants L Legal consultation W Work and Career C Construction and repair H Health and Medicine D Dating, Love, Relationships H Horoscopes, Magic, Divination S Style and Beauty L Leisure and Entertainment S Science and Technology P Photography and Videography A Art and Culture O Other P Philosophy F Food and Cooking B Business and Finance T Travel and tourism F Family and Home A Auto and Moto

Show more

Full access

It will provide effective and fast learning by providing unlimited access to the knowledge base and receiving answers from experts and an AI advisor.

Subscribe

Ask an AI advisor a question

I want advice

ABOUT US

About us
Terms of use
Copyright
Privacy Policy
Cookie policy
Cookie preferences

HELP

Sign Up
FAQ
Security Center

App

Spanish Geography Health Engineering Arts Social Studies Advanced Placement (AP) German SAT History Computers and Technology Physics Chemistry Biology Law Mathematics World Languages French Business Medicine