(a) The transformed data fit a straight line well.
The option C is correct. as the values are not exploding. Other option are incorrect.
The following scatter plot is obtained based on the logarithmic transformed data:
B) Using Excel we have found equation of regression line:
SUMMARY OUTPUT | |
Regression Statistics | |
Multiple R | 0.990672 |
R Square | 0.981431 |
Adjusted R Square | 0.975241 |
Standard Error | 0.040266 |
Observations | 5 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | -0.45119 | 0.102786 | -4.38959 | 0.021902 | -0.7783 | -0.12408 | -0.7783 | -0.12408 |
log(X) | 1.599913 | 0.127058 | 12.59195 | 0.00108 | 1.195556 | 2.004269 | 1.195556 | 2.004269 |
herefore, we find that the regression equation is:
log(Y) = -0.451 + 1.600*log(X)
i.e. Y'=-0.451 + 1.600 *X'
from above table we can find correlation coefficient.
Multiple R. This is the correlation coefficient. It tells you how strong the linear relationship
Hence correlation coefficient is 0.991.
(c) Use the results of part (b) to find estimates for ? and ? in the power law y = ?x?. Write the power equation for the relationship between steam pressure and sheer strength of boiler plate steel. (Use 3 decimal places.)
function value
mean of x= 0.783
mean of y =0.790
correlation coefficient r= 0.991
? =1.161
? =1.580
?=1.161*x1.580
Let x = boiler steam pressure in 100 lb/ in2 and let y-critical sheer strength of...
11. 0.13/1 points 1 Previous Answers BBUnderStat 12 9.2.025 My Notes Ask Your Teacher Let x = boiler steam pressure in 1001b/in2 and let y = critical sheer strength of boler plate steel onts in tor sin2, we have the following data for a series of factory boilers 10 .4 4.2 6.3 10.9 13.3 (a) Make the logarithmic transformations x' log (x) and y' equation seem to be a good fit to this plot? log (v). Then make a scatter...
(a) Suppose you are given the following (x, y) data pairs x136y217Find the least-squares equation for these data (rounded to three digits after the decimal) (b) Now suppose you are given these (x, y) data pairs. x217y136Find the least-squares equation for these data (rounded to three digits after the decimal). (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes No (d) Solve your answer from part (a) for x (rounded to...
Data on the fuel consumption ?y of a car at various speeds ?x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ?̂ =55.3286−0.02286?y^=55.3286−0.02286x Using this equation, we can add the residuals to the original data. Speed 1010 2020 3030 4040 5050 6060 7070 8080 Fuel 38.138.1 54.054.0 68.468.4 63.663.6 60.560.5 55.455.4 50.650.6 43.843.8 Residual −17.00−17.00 −0.87−0.87 13.7613.76 9.199.19 6.316.31 1.441.44...
X(#of sheets)
55
14
32
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48
98
138
49
85
54
Y in mm
5
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6
14
17
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Step 1 Pinch some pages together. Measure the thickness of the bunch as accurately as you can corresponding number of sheets in the following table in mm. List this thickness with the Step 2: Repeat step 1 for at least 10 pinches, using different number of sheets each time X (#of sheets) in mm Step...
Matlab code:
Task 5 As an engineer you are asked to calculate the approximate surface area of a lake in your local community. In order to do that, you decide to use a GPS to measure the x and y coordinates at various points around the lake. You pick a starting point and calibrate your GPS position at that point to be (0,0). You begin to walk around the lake collecting the following data below and eventually return to your...
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 44 33 47 23 40 34 52 y 32 20 26 13 29 17 21 14 Complete parts (a) through (e), given Σx = 302, Σy = 172, Σx2 = 12,064, Σy2 = 4036, Σxy = 6066, and r ≈ −0.902. (a) Draw...
Section 1 Tube [FeSCN^+] M Absorbance 1 0.0005 0.016 2 0.0011 0.0422 3 0.00367 0.0917 4 0.00727 0.224 5 0.00965 0.267 6 0.0137 0.398 Part B unknown sol. 0.175 SCENARIO: Five standard solutions containing different known concentrations of an iron (II) thiocyanate (FeSCN+ ) complex are analyzed using spectrophotometry, a technique which measures the quantity of light absorbed by the solution as a function of the concentration of the analyte in solution (in this case, FeSCN+ ). The results of...
Expansion of the Universe Exercise Student Name: Step 1. 1. Using the data in Figures 1-4, measure the peak in nanometers) of the Ho from the spectra for each of the four galaxies presented. Step 2. A. Record the wavelength of the highest peak of each galaxy in Table 1. B. Use Equation 1 to calculate the redshift value (z) for each one and record these values in Table 1 as well. c. For the wavelength of HO from a...
(Just need help with part F)
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Before taking the plunge into videoconferencing, a company ran tests of its...