Six Rec Center members are surveyed: each is a point (GroupC…

Six Rec Center members are surveyed: each is a point (GroupClasses per week, SoloWorkouts per week):A = (1, 7),   B = (3, 7),   C = (2, 4),   D = (7, 1),   E = (8, 3),   F = (9, 2)Run K-means with k = 2, initial centroids fixed at μ1 = A = (1, 7) and μ2 = F = (9, 2). Use Euclidean distance (you may compare squared distances). Iterate until converged, then report:Final centroid μ1 = ( [mu1x] , [mu1y] )    Final centroid μ2 = ( [mu2x] , [mu2y] )WCSS of the final clustering (sum of squared distances to own centroid): [wcss]Format: enter numeric answers as plain decimals (e.g., 0.25, not 1/4). Do not include units or commas.

(Data table is shown above.)(i) The truck decides to impute…

(Data table is shown above.)(i) The truck decides to impute the missing TacoSales value of T6 using the other six recorded values (including T7). Which statistic — the mean or the median — is more appropriate here, and what is its value?Mean or median? [stat]    Imputed value: [value](ii) The truck ultimately deletes both problematic rows (T6 and T7). Apply min-max normalization to the FootTraffic values of the five remaining days (T1–T5). Enter the five normalized values.T1: [t1]   T2: [t2]   T3: [t3]   T4: [t4]   T5: [t5]Format: enter numeric answers as plain decimals (e.g., 0.25, not 1/4). Do not include units or commas.

A fully connected layer with nin inputs and nout neurons has…

A fully connected layer with nin inputs and nout neurons has nin × nout + nout parameters (weights + biases). The input layer performs no computation and is not counted in the depth.(i) A network has 2 inputs, one hidden layer with 3 neurons, and 1 output neuron. Its depth (number of computing layers) is [depth] and its total parameter count is [small].(ii) An MLP for 28×28 grayscale images has 784 inputs, one hidden layer of 64 neurons, and 10 outputs. Its total parameter count is [big]. (This explosion of parameters is one reason the lecture recommends CNNs for images.)Format: enter numeric answers as plain decimals (e.g., 0.25, not 1/4). Do not include units or commas.

Using the five clean days (T1–T5) with the original (unnorma…

Using the five clean days (T1–T5) with the original (unnormalized) values, fit a linear regression ŷ = β0 + β1x, where x = FootTraffic (hundreds) and y = TacoSales (dozens). Use the closed-form solution:β1 = Σ(xi − x̄)(yi − ȳ) / Σ(xi − x̄)² ,    β0 = ȳ − β1x̄β1 = [beta1]    β0 = [beta0]Format: enter numeric answers as plain decimals (e.g., 0.25, not 1/4). Do not include units or commas.

A 15-year-old female with known von Willebrand disease type…

A 15-year-old female with known von Willebrand disease type 1 presents for routine follow-up. She reports heavy menstrual bleeding lasting 8-9 days each cycle, requiring pad changes every 2 hours on her heaviest days. She has mild iron deficiency anemia (hemoglobin 10.8 g/dL, ferritin 8 ng/mL). She is not sexually active. Her mother asks what the best long-term management option is. Which of the following is the most appropriate recommendation?