Statistics and Data Analysis
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Questions and Answers

What is the primary difference between a dotted line and a solid line in a system of inequalities?

  • A dotted line represents a quadratic equation, while a solid line represents a linear equation
  • A dotted line represents a non-inclusive boundary, while a solid line represents an inclusive boundary (correct)
  • A dotted line represents a weak correlation, while a solid line represents a strong correlation
  • A dotted line represents a exponential growth, while a solid line represents a exponential decay

    • What is the purpose of finding the line of best fit for a scatter plot?

  • To create a predictive model for the data (correct)
  • To determine the type of correlation between the variables
  • To identify the correlation coefficient of the data
  • To calculate the mean and standard deviation of the data

    • What is the difference between a monomial and a binomial?

  • A monomial is a geometric sequence, while a binomial is an arithmetic sequence
  • A monomial has a degree of one, while a binomial has a degree of two
  • A monomial has one term, while a binomial has two terms (correct)
  • A monomial is a linear equation, while a binomial is a quadratic equation

    • What is the formula for calculating compound interest?

    <p>A = P(1 + r/n)^n</p> Signup and view all the answers

    What is the purpose of completing the square in a quadratic equation?

    <p>To find the vertex and axis of symmetry of the parabola</p> Signup and view all the answers

    What is the difference between a geometric sequence and an arithmetic sequence?

    <p>A geometric sequence has a common ratio, while an arithmetic sequence has a common difference</p> Signup and view all the answers

    What is the purpose of finding the correlation coefficient of a scatter plot?

    <p>To determine the strength of the correlation between the variables</p> Signup and view all the answers

    What is the formula for finding the slope of a line given two points?

    <p>m = (y2 - y1) / (x2 - x1)</p> Signup and view all the answers

    What is the purpose of rearranging an equation from standard form to slope-intercept form?

    <p>To find the slope and y-intercept of the line</p> Signup and view all the answers

    What is the difference between a normally distributed dataset and a skewed dataset?

    <p>A normally distributed dataset has a symmetrical distribution, while a skewed dataset has an asymmetrical distribution</p> Signup and view all the answers

    Study Notes

    Statistics and Graphs

    • Identify if a set of data is normally distributed, left-skewed, or right-skewed
    • Determine if a graph is misleading
    • Find the line of best fit for a scatter plot and identify its correlation (positive/negative) and association (strong/weak)
    • Match a correlation coefficient to a scatter plot

    Normal Distribution

    • Calculate the percentage of a population based on a normal distribution
    • Draw a normal distribution using the mean and standard deviation

    Two-Way Frequency Tables

    • Fill in missing parts in a two-way frequency table
    • Calculate corresponding percentages

    Box and Whisker Plots

    • Read a box and whisker plot (normal, left-skewed, right-skewed, corresponding percentages, IQR)

    Systems of Equations

    • Solve a system of equations using graphing, substitution, or elimination
    • Identify when to use substitution over elimination or vice versa
    • Understand the difference between "no solution" and "all real numbers" when it comes to the solution to a system of equations

    Inequalities

    • Rearrange an equation from standard form to slope-intercept form
    • Identify when a coordinate point is part of the solution to a system of inequalities
    • Match equations to graphs or vice versa in a system of inequalities
    • Understand the difference between a dotted and a solid line in a system of inequalities

    Algebraic Manipulations

    • Remove fractions from an equation using a common denominator or a reciprocal
    • Simplify expressions using all exponent rules (product/quotient, power to a power, negative exponents, zero power)
    • Switch between fraction exponents and roots and simplify
    • Simplify radicals using prime factors to pull out perfect squares from inside the radical

    Exponential Equations

    • Solve exponential equations for x when the bases of the exponent are the same and when they are different
    • Identify the difference between exponential growth and decay and their graphs
    • Calculate compound interest based on the number of times a year it is collected

    Sequences

    • Identify whether a sequence is arithmetic, geometric, or neither
    • Find the nth term or the first term of an arithmetic or geometric sequence

    Polynomials

    • Name a polynomial by the number of terms (monomial, binomial, trinomial) or the degree (constant, linear, quadratic, cubic)
    • Factor out a GCF from an expression
    • Add, subtract, and multiply polynomial expressions
    • Factor trinomials where a = 1 and a > 1
    • Factor perfect square binomials and perfect square trinomials

    Quadratic Equations

    • Find the roots of a quadratic using factoring
    • Find the roots of a quadratic with radicals
    • Use the quadratic formula
    • Identify the vertex and axis of symmetry of a parabola
    • Switch between standard form and vertex form of a parabola using completing the square or order of operations

    Linear Equations

    • Solve multi-step equations with simplifying expressions, variables on both sides, multiple variables, and some fractions
    • Find slope from an equation, graph, table, or given two points
    • Write an equation for a line given two points
    • Match a graph to an equation or an equation to a graph
    • Know the difference between the slope and y-intercept of a vertical line vs a horizontal line (HOY VUX)
    • Identify if two equations are parallel, perpendicular, or intersecting

    Functions and Transformations

    • Identify if a graph or table is a function
    • Identify the domain and range of a set of data and write it in interval notation
    • Understand how a, h, and k transform a graph using the basic form of: y=a(x-h)+k

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    Description

    Test your understanding of statistical concepts, including normal distribution, skewness, correlation, and data analysis. Identify misleading graphs, calculate percentiles, and fill in frequency tables.

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