Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the table below gives the age and bone density for

The table below gives the age and bone density for five randomly selected women. Using this data,...

Free

70.2K

Verified Solution

Question

Basic Math

The table below givesthe age and bone density for five randomly selected women. Usingthis data, consider the equation of the regression line,yˆ=b0+b1xy^=b0+b1x, for predicting a woman's bone density based onher age. Keep in mind, the correlation coefficient may or may notbe statistically significant for the data given. Remember, inpractice, it would not be appropriate to use the regression line tomake a prediction if the correlation coefficient is notstatistically significant.

Age48485151565660606969
Bone Density351351320320318318311311310310

Table

Copy Data

Step 1 of 6 :

Find the estimatedslope. Round your answer to three decimal places.

Answer & Explanation Solved by verified expert
4.2 Ratings (839 Votes)

x y (x-x?)² (y-y?)² (x-x?)(y-y?)
48 351 77.44 841.00 -255.20
51 320 33.64 4.00 11.60
56 318 0.64 16.00 3.20
60 311 10.24 121.00 -35.20
69 310 148.84 144.00 -146.40
?X ?Y ?(x-x?)² ?(y-y?)² ?(x-x?)(y-y?)
total sum 284 1610 270.8 1126.0 -422.00
mean 56.80 322.00 SSxx SSyy SSxy

sample size ,   n =   5          
here, x? = ?x / n=   56.80   ,     y? = ?y/n =   322.00  
                  
SSxx =    ?(x-x?)² =    270.8000          
SSxy=   ?(x-x?)(y-y?) =   -422.0          
                  
estimated slope , ß1 = SSxy/SSxx =   -422.0   /   270.800   =   -1.558
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

calculate the freezing point of water (Kf= 1.86 C/m) for an ideal solution of sodium phosphate...

Chemistry
Q

what is the difference between: metabolic and respiratory acidosis metabolic and respiratory alkalosis Which of the above would...

Medical Sciences
Q

In a buffer solution prepared from 10 mL of 3.0 M benzoic acid (HC6H5CO2) added to...

Chemistry
Q

Discuss a relationship between two quantities associated with your major (business finance). Include your major and...

Advance Math
Q

Identify the Gerund in the following sentence: Ted listened to the raucous honking of the...

Biology
Q

How is the process of cell differentiation regulated

Biology
Q

Wave Optics Questions with Answer Keys malt Ampu regthe An unpolarized light beam is incident...

Physics
Q

Find the values of x y and z in the figure where a 2 and...

Algebra
Q

Presented below is an amortization schedule related to Larlopur Company's 5 -year, $170,000 bond with...

Accounting
Q

Which of the following statements is NOT true? OC) Arbitrage keeps interest rates on equally...

Accounting
Q

A new employee has a 2020 W-4 Form on file and her employer processes payroll...

Accounting
Q

Question: Discuss the importance of effective gatekeeping in ensuring a smooth functioning and fostering an...

Finance