[
    {
        "question": "The dot product of two vectors is:",
        "type": "many_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "the sum of the products of the corresponding elements of the vectors",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "a matrix",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "a scalar",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "related to the angle between the vectors in Cartesian space",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "the result of matrix addition",
                "correct": false,
                "feedback": "Incorrect."
            },
                        {
                "answer": "the sum of the magnitudes of the two vectors",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "a vector",
                "correct": false,
                "feedback": "Incorrect."
            }
        ]
    },
    {
        "question": "An identity matrix:",
        "type": "many_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "is an n x n square matrix",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "is an m x n matrix",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "is composed only of 0's",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "has a left-to-right diagonal of 1's and all other values 0",
                "correct": true,
                "feedback": "Correct."
            },
                        {
                "answer": "has a right-to-left diagonal of 1's and all other values 0",
                "correct": false,
                "feedback": "Incorrect."
            },
                        {
                "answer": "cannot be transposed",
                "correct": false,
                "feedback": "Incorrect."
            }
        ]
    },
    {
        "question": "Matrix multiplication is:",
        "type": "multiple_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "impossible",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "possible but only for square matrices",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "possible but only when multiplying an m x p matrix with a p x n matrix",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "possible but only for identity matrices",
                "correct": false,
                "feedback": "Inorrect."
            }
        ]
    },
    {
        "question": "For the equation y = bx + a:",
        "type": "many_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "y is the dependent variable and x is the independent variable",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "y is the independent variable and x is the dependent variable",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "b is the slope, a is the intercept",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "a is the slope, b is the intercept",
                "correct": false,
                "feedback": "Incorrect."
            }
        ]
    },
    {
        "question": "The following methods fall under the General Linear Model:",
        "type": "many_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "Linear regression",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "Logistic regression",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "ANOVA",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "t-test",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "Non-linear regression",
                "correct": false,
                "feedback": "Incorrect"
            }
        ]
    },  
    {
        "question": "The link function for logistic regression is:",
        "type": "multiple_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "logit",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "identity",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "probit",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "log",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "inverse squared",
                "correct": false,
                "feedback": "Incorrect"
            }
        ]
    },
    {
        "question": "For a ROC curve, an AUC value of ___ is considered good.",
        "type": "multiple_choice",
        "shuffle_answers": true,
        "answers": [
            {
                "answer": "> 0.5",
                "correct": true,
                "feedback": "Correct."
            },
            {
                "answer": "< 0.5",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "0",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "= 1",
                "correct": false,
                "feedback": "Incorrect."
            },
            {
                "answer": "> 1",
                "correct": false,
                "feedback": "Incorrect"
            }
        ]
    }
]