Data Science and Machine Learning Fundamentals Exam

Problem Statement

A non-zero vector that can be changed at most by its scalar factor after the application of linear transformations is called: Eigenvector Scalar vector Unit vector Orthogonal vector X is the sum of the squares of k independent standard normal random variables. What's the distribution of X? Normal distribution Chi-squared distribution t-distribution Binomial distribution In rolling a dice 300 times we get 54 ones, 46 twos, 54 threes, 46 fours, 50 fives and 36 sixes. We wish to determine whether the dice is fair. What is the test statistic value for the goodness of fit test in this case? 6.8 7.8 8.0 9.2 What is the correct formula for detecting outliers using the Inter Quartile Range (IQR)? Q1 ± 1.5*IQR Q1 - 1.5*IQR and Q3 + 1.5*IQR Mean ± 2*IQR Median ± 1.5*IQR What is IQR? Difference between max and min Difference between Q3 and Q1 Average of quartiles Ratio of Q1 and Q3 In a normal distribution, the percentage of values that lie within one, two, three standard deviations of the mean r