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- 1) You compare the height and weight of 5 adult women. You get the following results:height 60 67 62 70 66weight 119 143 131 155 136(a) Construct a scatter plot of height (x) vs. weight (y)(b) Calculate the following (show your work for SScp):SSx SSy SScp ̄x ̄y(c) Calculate the correlation coefficient (r)2) Use the information from problem 1. Perform a complete test of the hypothesis that the populationcorrelation coefficient (ρ) is 0. Show all steps (note - obviously this should be a one sided test! Make sure youknow why!).3) Now let's assume you wanted to predict weights from heights. In other words, now let's use the same datafrom problem (1) and do a regression instead.(a) Calculate b0 and b1.(b) Carefully draw your least square regression line on the plot you made in 1(a). (Don't just “sketch”,be a little careful).4) (a) Now do a significance test of H0: β1 = 0. Show all your calculations (including your residualcalculations). Again, note that this should be a one sided test…Why is it difficult to accurately estimate Km and Vmax values from a Michaelis-Menten plot? Why are the benefits of estimating Km and Vmax values from a Lineweaver-Burk plotCorn plants from a test plot are measured, and the distribution of heights at 10-cm intervals is recorded in the following table: Height (cm) Plants (no.) 100 20 110 60 120 90 130 130 140 180 150 120 160 70 170 50 180 40 Calculate (a) the mean height, (b) the variance, (c) the standard deviation, and (d) the standard error of the mean. Plot a rough graph of plant height against frequency. Do the values represent a normal distribution? Based on your calculations, how would you assess the variation within this population?
- Let X, Y ~ U(0, 1) be independent random variables uniformly distributed over (0, 1) and Z = X+2Y. (a) Find the LMMSE estimator of X given Z. (b) Find the MMSE estimator of X given Z. Is LMMSE and MMSE estimator the same?The following table shows the distance moved in an SDS-polyacrylamide gel by a series of marker proteins of known relative molecular weight. a. If the tracking dye had moved a distance of 90.0 mm, calculate linear regression parameters such as linearity coefficient (r), the slope (m), and the y-intercept (b). Protein MW (Da Distance moved (mm) Transferrin 78 000 6.0 Bovine serum albumin 66 000 12.5 Ovalbumin 45 000 32.0 54.0 Trypsinogen Myoglobin Lysozyme Cytochrome c 24 000 17 800 69.0 14 300 79.0 12 400 86.5 Proliferating cell nuclear antigen (PCNA) acts as a homotrimer of three identical subunits and helps increase the processivity of leading strand synthesis during DNA replication. It has a molecular weight of 36.0 kDa. Under the reducing conditions of the sample buffer, the disulfide bridges linking the subunits are reduced and thus the monomer chains are seen on the gel. b. Calculate the Rf of the single band of PCNA when subjected to SDS-PAGE. c. Predict the distance (in mm)…A characteristic has a narrow-sense heritability of 0.6.a. If the dominance variance (VD) increases and all other variancecomponents remain the same, what will happen to narrow-senseheritability? Will it increase, decrease, or remain the same? Explain.b. What will happen to broad-sense heritability? Explain.c. If the environmental variance (VE) increases and all other variancecomponents remain the same, what will happen to narrow-senseheritability? Explain.d. What will happen to broad-sense heritability? Explain.
- Calculate the Variance of the following data set: 10, 15, 13, 12, 14How are the standard deviation and variance related to each other? How are they different than just measuring the range? Can plot samples of dandelion cover from two different locations have the same mean but different variance? Explain. Can you answer question 3? Thanks.1. Consider this graph on running speed in huskies Midosspring running speed (m/s) 16 14 12 10 8 + 2 Husky running speed 4 6 8 Midparent running speed (m/s) 10 12 14 16 a. Approximately what is the heritability of running speed in this kennel of huskies? (You can approximate by eyeballing from the graph, no need to calculate the actual slope) b. If the breeder where to selectively breed the dogs, will the dogs run substantially faster in the next generation? c. What else can the breeder do to increase running speed?
- Explain this statement "Major considerations in dosage form design with example" ? Please briefly explain at your own easy words.I'm needing help with part 1 through 3, please The data of Sugar Water and Plain Water: mean # of drops variance degrees of freedom t stat t crit (from the table) plain water 25.3 17.221 38 -4.01 2.0261 sugar water 21.3 21.256 1. Make a statement about t stat in relation to t crit. And what is the p-value? 2. Is there a statistically significant difference between the mean values (mean # of drops) of the sugar and plain water? Give your "yes" or "no" answer and the supporting evidence. 3. Hypothesis: The surface tension of plain water is higher than the surface tension of sugar water. Do these results support or refute the hypothesis about the effect of dissolving salt in water on surface tension?A wide-ranging survey of Nicotonia growing in its natural environment recorded a variation in corolla length ranging from 12mm to 47mm with a variance of 36.5. Subsequently, collected seeds were grown in a greenhouse and it was found that the range was now very much lower with most plants having similar corolla lengths and the variance was now only 8.4. ALL WORKING MUST BE SHOWN 1. What is the heritability of corolla length?