Table 3: Second Dataset for X and Y Table 3. Dataset showing point numbers and X and Y values for K-means clustering. Point X Y 1 1 3 2 2 2 3 6 7 4 2.5 3.5 5 4 2 6 3 5 7 1 1 8 2 2 9 5 6 10 4 4 11 5.5 2.5   Review the table labeled Table 3: Second Dataset for X and Y. You decide to use the K-means algorithm on the dataset: K is set to 3 and, initially, Point 5 is the first centroid, Point 6 is the second centroid, and Point 7 is the third centroid. Using Euclidean distance measure, what are the clusters after the first iteration?

Table 4: Transactions Dataset Table 4. Transaction dataset showing transaction IDs and itemsets for rule mining. Transaction ID Items Bought 1 {a, b, d, e} 2 {b, c, d} 3 {a, b, d, e} 4 {a, c, d, e} 5 {b, c, d, e} 6 {b, d, e} 7 {c, d} 8 {a, b, c} 9 {a, d, e} 10 {b, d}   Review the table labeled Table 4: Transactions Dataset. You are asked to use rule mining on the dataset. What is the support for the rule {a} → {c}?

Given the following AR(1) model with intercept and time trend: Yt = 0.162 + 0.001t – 0.80 Yt-1. The standard error of the coefficient of Yt-1 is 0.4. Test whether the series Yt is stationary or a random walk with trend. (DF statistic = -3.41 at 5% level of significance).

Using birthweight (in grams) -alcohol data, the following are the Wilcoxon Rank-Sum (Mann-Whitney) Test results. Interpret the results. (Note: D =1 if mother drank alcohol during pregnancy) Alcohol Obs. Rank sum Expected 0 2942 4426087 4414471 1 58 75413 87029 Combined 3000 4501500 4501500 Unadjusted variance 42673220   Adjustment for ties -6872.7978   Adjusted variance 42666347                       Z = 1.778 Prob > |z| = 0.0753

Given the AR (1) estimation: Yt = 1.950 + 0.341 Yt-1, SE (1.950) = 0.322, SE (0.341) = 0.331.  The tabulated value of t at 5% level of significance is 1.96. Is the lag value of Y a useful predictor of the current Y?

What is the molarity of a solution made by dissolving 3.00 moles of NaCl in 1500 mL of water? ( 1L = 1000 mL)

Using the data given in the reaction below2Mg + O2 –> 2MgO ∆H= -465 kJ/molcalculate the enthalpy of the following reactionMgO –> Mg + 0.5O2

The species being reduced in the following reaction is (not the reducing agent)Cu2+(aq) + Zn(s) = Zn2+(aq) + Cu(s)

Why did many leading Americans decide a convention was needed after Shays’ Rebellion?

Why did the committee revise Thomas Jefferson’s original draft of the Declaration of Independence?