Homework Answers
I have taken printout of the image and have drawn a best fit line.
The equation of the first line which passes at (2.5, 3) and (2, 2.5)
y - 3 = (3 - 2.5) / (2.5 - 2) (x - 2.5)
=> y - 3 = (x - 2.5)
=> y = x + 0.5
The equation of the second line which passes at (0.5, 3.5) and (3, 0.75)
y - 3.5 = (3.5 - 0.75) / (0.5 - 3) (x - 0.5)
=> y - 3.5 = -1.1 (x - 0.5)
=> y - 3.5 = -1.1x + 0.55
=> y = -1.1x + 4.05
For x = 3.5
Estimate of dependent variable in the first plot is,
y = 3.5 + 0.5 = 4
Estimate of dependent variable in the second plot is,
y = -1.1 * 3.5 + 4.05 = 0.2
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2. For the data plotted below, draw (visually) a best-fit line. Then write down an equation...
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Solve best-fit equation to derive an expression to convert absorbance values to concentrations Solve the best...
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please write down detailed solution (do not copy 3. [Polynomial interpolation versus least squares fitting, 10pts]...
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I am going to write the data here because it was too big to fit into the picture. RENT Beds Age ...
I
am going to write the data here because it was too big to fit into
the picture.
RENT
Beds Age Blocks Month
7,300
6 13 0.5 June
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3,000
3 13 1 July
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5 10 2 June
8,000
4 12 1 August
8,100
5 13 1 July
1,700
3 6 2 June
2,800
3 5 2.5 July
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8,800
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3,100
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(d) Calculate the sum of the squares of the residuals. 4. Draw by hand a best-fit line, and then find the line's equation for the data below. Finally predict the result of dependent variable when the independent variable is at 45. (It is not necessary to use the best-fit line equations of section 9.2 for this problem) 1800 1600 1400 1200 1000 800 400 t 200 10 15 2025 30 35 40 45
Solve best-fit equation to derive an expression to convert
absorbance values to concentrations
Solve the best-fit equation you recorded in question 1, step c for "[dye)," to derive an expression to convert absorbance values to concentrations. Show your work below: Equation: 141986x +1.08 LALEI I piot absorbance (y-axis) versus concentration (x-axis) for the standard dye solutions from Table 7.8. Find the linear least-squares line describing the data. Do not force the y-intercept to be zero. c Write the equation and...
please write down detailed solution (do not copy
3. [Polynomial interpolation versus least squares fitting, 10pts] Recall how Q7 in HW3 required you to find the cubic best fit to six given data points. This led to a least squares optimization problem. We are given the same points as in HW3: i 01 | 2 | 3 | 4 | 5 X 0.0 0.5 1.0 1.5 2.0 2.5 Y 0.0 0.20 0.27 0.30 0.32 0.33 (a) Write down the least...
I
am going to write the data here because it was too big to fit into
the picture.
RENT
Beds Age Blocks Month
7,300
6 13 0.5 June
4,800
5 5 1.5 June
3,000
3 13 1 July
4,100
5 10 2 June
8,000
4 12 1 August
8,100
5 13 1 July
1,700
3 6 2 June
2,800
3 5 2.5 July
10,500
6 21 1.5 August
8,800
5 17 0.5 August
3,100
5 11 1.5 June
1,100
2...
A group of physics students collected data from a test of the projectile motion problem that was analyzed in a previous lab exercise (L5). In their test, the students varied the angle and initial velocity Vo at which the projectile was launched, and then measured the resulting time of flight (tright). Note that tright was the dependent variable, while and Vo were independent variables. The results are listed below. (degrees) Time of Flight (s) Initial Velocity V. (m/s) 15 20...
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