A spectrometer was used to measure the light absorbed by three standard solutions containing different concentrations of K2Cr207. The following data was obtained. Absorbance 0.162 0.320 0.486 [Cr] (ppm) 5.1 10.0 14.9 The equation of the straight line generated using the method of least squares is: y = 0.0331x - 0.0086. Use this information to find the standard deviation of the slope of the line expressed to the proper number of significant figures. O a.m = 0.0331 (±0.0045) b.m = 0.033 (20.004) Ocm= 0.0331 (±0.0001) %3D O d.m = 0.0331 (20.0101)

A spectrometer was used to measure the light absorbed by three standard solutions containing different concentrations of K2Cr207. The following data was obtained. Absorbance 0.162 0.320 0.486 [Cr] (ppm) 5.1 10.0 14.9 The equation of the straight line generated using the method of least squares is: y = 0.0331x - 0.0086. Use this information to find the standard deviation of the slope of the line expressed to the proper number of significant figures. O a.m = 0.0331 (±0.0045) b.m = 0.033 (20.004) Ocm= 0.0331 (±0.0001) %3D O d.m = 0.0331 (20.0101)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A regression was run to determine if there is a relationship between hours of study per week (xx) and the test scores (yy). The results of the regression were: y=ax+b a=5.709 b=34.57 r2=0.641601 r=0.801 Use this to predict the score of a student who studies 9.5 hours per week, and please round your answer to a whole number.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.80 cm, y=81.36 kg, r=0.286, P-value=0.004, and y=−108+1.19x. Find the best predicted value of y (weight) given an adult male who is 138 cm tall. Use a 0.10 significance level.
A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter2) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and are approximate values read from a scatterplot in the paper. BMI Change (kg/m²) Depression Score Change S = The accompanying computer output is from Minitab. Depression score change 15- 10- -0.5 S Fitted Line Plot Depression score change = 6.577 +5.440 BMI change 20- 5.30586 Coefficients T 0.0 0.5 -0.5 R-sq 25.96% - 1 Term Coef Constant 6.577 BMI change 5.440 % 0.5 BMI change 1.0 SE Coef 2.28 2.90 9 0 0.1 0.7 0.8 1 1.5 4 T-Value 2.88 1.87 Interpret this estimate. s is the typical amount by which the ---Select--- line. 4 5 Regression Equation Depression score change = 6.577 +5.440 BMI change P-Value 0.0164 0.0906 S 5.30586 25.96% R-Sq R-Sq (adj) 18.56% 8 (b) Give a point estimate of o. (Round your answer to…
A regression was run to determine if there is a relationship between hours of study per week (xx) and the final exam scores (yy).The results of the regression were: y=ax+b a=6.22 b=21.6 r2=0.477481 r=0.691 Use this to predict the final exam score of a student who studies 8 hours per week, and please round your answer to a whole number.
The line of best fit through a set of data is ý = 38.241 – 1.827r According to this equation, what is the predicted value of the dependent variable when the independent variable has value 20? y = Round to 1 decimal place.
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".† x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651 y 334 342 355 363 365 372 381 392 400 412 420 Here is regression output from Minitab: Predictor Constant absorb S = 3.60498 Coef 321.878 156.711 SOURCE Regression Residual Error Total SE Coef 2.483 6.464 R-Sq = 98.5% DF 1 9 10 SS 7639.0 117.0 7756.0 T 129.64 24.24 0.000 0.000 R-Sq (adj) = 98.3% MS 7639.0 13.0 F P 587.81 (a) Does the simple linear regression model appear to be…
c) Show that the coefficient of determination, R², can also be obtained as the squared correlation between actual Y values and the Y values estimated from the regression model where Y is the dependent variable. Note that the coefficient of correlation between Y and X is Eyixi r = And also that ỹ = ŷ (18.75)
The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ix² = 134.17 2.9 < x s 6.2 Ey = 774.7 Iy² = 60739.23 Exy = 2832.21 Using this data, a student calculated SSy = 28.43 SSx = 3.2 SSy= 717. Calculate the %3D %3D value of the standard error or regression, Se , and enter you answer accurate to the nearest hundredth (2 decimal places).
Is there a relationship between (X) rate of poverty (measured as a percent of population below poverty level) and (Y) rates of teen pregnancy (measured per 1,000 females aged 15 to 17)? A researcher selected random states and collected the following data. The correlation coefficient between was 0.98. Determine whether the correlation is significant. Use the correlation test statistics. Compute the appropriate test statistics. The degree of freedom is 6 and alpha at 0.05.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 194 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.95 cm, y=81.57 kg, r=0.362, P-value=0.000, and y=−103+1.07x. Find the best predicted value of y (weight) given an adult male who is 180 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 180 cm tall is= kg.
A repeated measures study with n=26 participants produces a mean difference of M D = 3 points, SS=500 for the difference scores, and t=2.50. Calculate Cohen's d and r square (r2) to measure the effect size for this study.
The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of the company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below. 4. Perform an F test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05 5. Conduct Residual Analysis and fully interpret the meaning. 6. If on a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 10 million, what would you expect the price of the stock to be? GRAPH IS SHOWN BELOW