Question 2The figure below plots the number of trips (denoted as 'y') generated against the associatedincome level (denoted as 'x') of 20 surveyed households. The straight line on the plot, with anequation y = 3x + a, represents the mathematical model representing the relationship betweentrips and income level based on the collected data by least square estimation.16y = Bx + α1412ε₁ = y₁ - y₁10864201000020000Trips050001500025000Incomea) Interpret the physical meaning of ɛ, a and ß in the figure.b) Describe in detail the least square estimation method (with use of appropriate mathematicalnotations) with which the optimal values of a and ß can be determined.

Answered: Image /qna-images/answer/0389d905-b05f-4d3d-a281-72fadb44ed9c.jpg

Answered: e level (denoted as 'x') of 20 surveyed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below is a table showing the relationship between age and bone density of a typical healthy adult male. Age (years) 25 35 45 55 65 75 85 Bone density (mg/cm²) 1165 1135 1085 1060 1015 975 910 Using your line of best fit find the equation for this line. Describe the correlation between the two variables and what conclusions can you make from this set of data? Using graph plotted extrapolate to find the bone density of a 90 years old typical adult.
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A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
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H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales? G. What is the value of the coefficient of determination, R2? What does R2 tell us about explained variation in y? (Refer to Coefficient of Determination LO 12-4). H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales?
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent The distance from point of release to point of recovery in km/100. The following data a representative of one study using drift bottles to study ocean currents. x day 72 79 32 96 203 y km/100 14.8 19.6 5.3 11.8 35.1 Σx=482 Σy=86.6 Σx2=62874 Σy2=2002.54 Σxy=11041.7 r=.93787 use a 1% level of significance to test the claim p>0.(use 2 decimal places) t=critical t= Se=4.4913 a=1.4966 b=.1641 D) find the predicted distance (km/100) when a drift bottle has been floating for 80 days.(use 2 decimal places) find a 90% confidence interval for your prediction of part D. (use 2 decimal places) lower limit=___km/100upper limit=___km/100 he was a 1% level of…
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