Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the density of an oil mixture (?mix) as a function

The density of an oil mixture (?mix) as a function of the temperature (T) and the...

Free

90.2K

Verified Solution

Question

Basic Math

The density of an oil mixture (?mix) as a function of thetemperature (T) and the mass fraction of the three components (mi)was measured and results are shown :

T (K) m1 m2 m3 Pmix (kg/m3 )

300 0 1 0 879.6

320 0 0.5 0.5 870.6

340 0 0 1 863.6

360 0.5 0 0.5 846.4

380 0.5 0.25 0.25 830.8

400 0.5 0.5 0 819.1

420 1 0 0 796

440 1 0 0 778.2

Find the coefficients for a multiple regression of the form Pmix= a0 + a1*T + a2*m1 + a3*m2 + a4*m3

Answer & Explanation Solved by verified expert
3.9 Ratings (364 Votes)

The regression output is:

Regression Statistics
Multiple R 0.995394
R Square 0.990809
Adjusted R Square 0.733916
Standard Error 4.602693
Observations 8
ANOVA
df SS MS F Significance F
Regression 4 9135.08 2283.77 143.7365 0.000932
Residual 4 84.73914 21.18478
Total 8 9219.819
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 1044.391 48.54099 21.51566 2.76E-05 909.6199 1179.163 909.6199 1179.163
T -0.59204 0.112089 -5.2819 0.006162 -0.90325 -0.28083 -0.90325 -0.28083
m1 0 0 65535 #NUM! 0 0 0 0
m2 14.34136 14.2508 1.006355 #NUM! -25.2252 53.90792 -25.2252 53.90792
m3 21.93406 12.5917 1.741947 0.156482 -13.0261 56.89422 -13.0261 56.89422

Pmix = 1044.391 -0.59204*T + 0*m1 + 14.34136*m2 + 21.93406*m3
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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Hi all, Can someone please answer this question. Please, list all steps! thanks! Machines A and B are mutually...

Accounting
1.2K views

Flathead Artifacts (a retailer) has the following sales budget for next year. Flathead has a gross...

Basic Math
1.2K views

Exactly one of the following statements is true. Which one? Select one: a. Every convergent sequence is...

Psychology
1.2K views

2. What is the relationship between the unconscious and behaviour? - 100 words 3. Illustrate, using a...

Physics
1.2K views

A straight thick long wire of uniform cross section of radius a is carrying a...

Basic Math
1.2K views

FLUENCY 1 Sketch each of the following equations on the graph y 4sin x 2

Statistics
1.2K views

A population has a mean 84 and a standard deviation o 29 Find the mean...

Calculus
1.2K views

Differentiate F y 9

Accounting
1.2K views

We are making hamburgers. Here are the facts: We plan to sell 80,000 hamburgers in...

Accounting
1.2K views

At the end of its first year, the trial balance of Denton company shows equipment...

Accounting
1.2K views

On the statement of cash flows, the cash flows from investing activities section would include...

Accounting
1.2K views

The following information is available for the Higgins Travel Agency, Inc. After recording these closing...