If E(X) = 6 and E[(X)(X-1)] = 51,  a) find the second moment  b) find the variance of X Please provide your working and round your answers to 3 decimal places

Chlorophylls a and b are plant pigments that absorb sunlight and transfer the energy into photosynthesis of carbohydrates from CO2 and H2O, releasing O2 in the process. Chlorophylls were extracted from chopped up grass and measured by spectrophotometry. The table shows results for chlorophyll a for four separate analysis of five blades of grass. Chlorophyll a (g/L) Blade 1 Blade 2 Blade 3 Blade 4 Blade 5 1.09 1.26 1.1 1.23 0.85 0.86 0.96 1.21 1.3 0.65 0.93 0.8 1.27 0.97 0.86 0.99 0.73 1.12 0.97 1.03 Four replicate measurements for each blade of grass tell us the precision of the analytical procedure (sanalysis). Differences between mean values for each of the five blades of grass are a measure of variation due to sampling (ssampling). Using Excel and it’s ANOVA function, find the standard deviations attributable to sampling and to analysis, as well as the overall standard deviation arising from both sources.

Log(Wagei) = α + β1Educationi + β2Femalei + β3Non Whitei + β4Educationi × Femalei + εi For males, and holding other variables constant, the regression output from the linear regression model above implies that an extra year of education is associated with what percent change in wages?

If you have a b of 0.56 in a regression equation, what does this mean?     For every one-unit increase in x, you get an increase of 0.56 in y     r = .31     On average, the variability of real scores around the regression line is 0.56     For every 1 standard deviation increase in x, you get an increase of 0.56 standard deviations in y

According to recent data the survival function for life after 63 is approximately given by S(x) = 1-0.052x-0.078x² where x is measured in decades. This function gives the probability that an individual who reaches the age of 63 will live at least x decades (10x years), longer. a. Find the median length of life for people who reach 63, that is, the age for which the survival rate is 0.50. ye years (Round to the nearest whole number as needed.)