CPM Algebra Semester 2 Review (6-10)

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What is the least squares regression line?

Back

The least squares regression line is a statistical method used to determine the line of best fit for a set of data points, minimizing the sum of the squares of the vertical distances (residuals) of the points from the line.

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How do you calculate the residual value in regression analysis?

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The residual value is calculated by subtracting the predicted value from the actual value: Residual = Actual Value - Predicted Value.

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What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

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What is the explicit formula for a geometric sequence?

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The explicit formula for a geometric sequence is given by a_n = a * r^(n-1), where 'a' is the first term, 'r' is the common ratio, and 'n' is the term number.

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What is the formula for compound interest?

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The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.

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What does it mean for a sequence to be arithmetic?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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What is the common difference in an arithmetic sequence?

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The common difference is the constant amount that is added to each term to get the next term in an arithmetic sequence.

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How do you find the first term of a sequence given a recursive formula?

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To find the first term of a sequence given a recursive formula, you need the initial condition provided, which specifies the value of the first term.

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What is the difference between a sequence and a series?

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A sequence is a list of numbers, while a series is the sum of the terms of a sequence.

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What is a linear equation?

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A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.