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Table 2: Training Dataset for Car Ownership Table 2. Training dataset for predicting car ownership from employment, insurance, and marital status. Instance Employed Insured Marital Status Car Ownership 1 Yes No Single Yes 2 Yes Yes Single No 3 No No Married Yes 4 No Yes Single Yes 5 Yes Yes Married No 6 No No Single No Review the table labeled Table 2: Training Dataset for Car Ownership. Assume we want to use a decision tree to predict if a person owns a car or not. Using entropy as the measure of node impurity, what is the information gain if the split is done on the attribute of being employed?

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 confidence for the rule {d} → {b}?

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 {d} → {b}?

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 AR (1) estimation: Yt = 1.950 + 0.341 Yt-1, SE (1.950) = 0.322, SE (0.341) = 0.221.  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?

a. What is the sign of Skewness and the minimum value of Kurtosis for the following density function with a normal fit?     b. The STATA results are given below for the Skewness and Kurtosis tests for normality for the above density function. Interpret the results. Do you reject the null hypothesis?         Joint test Variable Obs. Pr(skewness) Pr(kurtosis) Adj chi2(2) Prob>Chi2 birthweight 3,000 0.0000 0.0000 358.77 0.0000

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

If you dissolve 1.5 mole of Na3PO4 in water how many moles of ions are in the solution? (hint: both + and – ions should be considered)

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

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