Establishing the properties of materials is an important problem in identifying a suitable substitute for biodegradable materials in the fast food packaging industry. Consider the following data on product density (g/cm3) and thermal conductivity K-factor. Thermal Conductivity y Product Density X 0.0480 0.1750 0.0525 0.2200 0.0540 0.2250 0.0535 0.2260 0.0570 0.250 0.0610 0.2765 For the data above perform the following: 1) Estimate the intercept and the slope write the regression line 2) Compute the residuals 3) Compute SSE and estimate the variance 4) Find the Standard error of the slope and intercept coefficients 5) Compute the coefficient of determination R2 6) Use a t-test to test the significance of the slope coefficient at a =0.05. Give p-value and comment on your results 7) Construct the ANOVA table and test for significance of regression using p-value. Comment your results and relationship to your results on (f) 8) Construct a 95% CI for the slope. Comment on the relationship of these CI's and your findings in parts (f) and (g).

Nonpoint source loads are chemical masses that travel to the main stem of a river and its tributaries in flows that are distributed over relatively long stream reaches, in contrast to those that enter at well-defined and regulated points. An article suggests that for a certain time period and location, X nonpoint source load of total dissolved solids could be modeled with a lognormal distribution having mean value 10,647 kg/day/km and a coefficient of variation CV = 0.40 (CV = ох MX = USE SALT (a) What are the mean value and standard deviation of In(X)? (Round your answers to four decimal places.) mean value standard deviation (b) What is the probability that X is at most 15,000 kg/day/km? (Round your answer to four decimal places.) (c) What is the probability that X exceeds its mean value? (Round your answer to four decimal places.) Why is this probability not 0.5? Since the lognormal distribution is not ✓a symmetric distribution, the mean and the median of X are not ✓the same and, in…

Special dyes have been developed that only bind to DNA. The intensity of the color is directly related to the quantity of DNA present in the cell. A haploid cell would have a “low” amount of color, a cell in G1 would have a “medium” amount of color, and a cell in M phase would have a “high” amount of color.   Is this sort of assessment quantitative, qualitative or semi-quantitative? Justify your reasoning.

I need help with the bullet point that begins with 'Use technology to determine...' and that bullet points sub-bullets. Thank you!

Steel Strength_vs_Carbon_Content_data Steel Grade Nominal Carbon Fatigue Yield Ultimate Hardness 9254 0.54 845 2270 1070 0.7 533 1950 8620 0.8 458 920 8695 0.95 401 780 8695 0.95 509 847 6150 0.5 307 1878 1552 0.52 257 933 2450 2069 1202 1496 979 2343 933 584 613 583 539 539 555 601

STAT 3128 Homeowrk Section 8.1 - 8.3. Question 1. An article reports the following values for soil heat flux of eight plots covered with coal dust. 34.8 33.7 34.8 35.3 33.3 28.5 18.3 24.6 The mean soil heat flux for plots covered only with grass is 25. Assuming that the heat flux distribution is normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses at the significance level 0.05 (a) State the appropriate null and alternative hypotheses. (b) State the distribution of the test statistic and calculate its value. (c) Calculate the p-value or find the critical value for this test. (d) State the conclusion: either reject the null hypothesis or fail to reject the null hypothesis.

al-Life Volum x A Select a Career Form A: X 4.6.SelectingaCareer.F. X O Dashboard ndary/docs/IntegratedMath3/worksheets/IM3_M9_SolvingRealLifeVolumeProblemsAssignment.pdf 2 / 2 - 100% 4. How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with radius of 8 inches and height of 6 inches?

Q5

M/M/2   Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2   On average, how long does a customer wait in line?     11 minutes     11 minutes, 21 seconds     12 minutes, 15 seconds     12 minutes, 45 seconds

I need help with part b, to plot the studentized residuals against x1,x2,and x3. Choose the correct graph