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S.ID.6, 7 N.Q.2 A-REI.1, 3 A.SSE.1 A.CED.2, 3, 4 F.IF.2
Linear Functions S.ID.6, 7 N.Q.2 A-REI.1, 3 A.SSE.1 A.CED.2, 3, 4 F.IF.2
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Curriculum Vocabulary
Linear Regression A linear regression models the relationship between two variables in a data set by producing the line of best fit Line of Best Fit A line of best fit is the line that best approximates the linear relationship between two variables in a data set. Linear Regression Equation The equation that describes the line of best fit is called the linear regression equation.
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Curriculum Vocabulary
Significant Digits Significant digits are digits that carry meaning contributing to a numberβs precision. Correlation Coefficient The correlation coefficient indicates how closely the data points form a straight line. It corresponds with the slope of the line. Standard Form (of a Linear Equation) The standard form of a linear equation is π΄π₯+π΅π¦=πΆ where π΄, π΅, and πΆ are constants and π΄ and π΅ are not both zero.
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Curriculum Vocabulary
Residual A residual is the distance between an observed data value and its predicted value using a regression equation. Slope-Intercept Form The slope intercept form of a linear equation is π¦=ππ₯+π where π is the y-intercept and π is the slope. Literal Equation Literal equations are equations involving two or more variables, in which the variables represent specific measures.
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STANDARD FORM of a LINEAR EQUATION
To write an equation in STANDARD FORM with integer coefficients: Remember INTEGER means NO FRACTIONS or DECIMALS Standard form of a Linear Equation looks like: π΄π₯+π΅π¦=πΆ or π΄π₯+π΅π¦+πΆ=0
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Rewriting in STANDARD FORM
Step 1: Eliminate fractions if necessary by multiplying the entire equation by the LCD. Step 2: Move all variable terms to the left and all constant terms to the right. Step 3: Negate all terms (change all signs) if needed to start with a positive leading coefficient. Step 4: Divide all terms by the GCF if one exists.
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Rewriting in STANDARD FORM
Rewrite in STANDARD FORM: π¦=3π₯β7
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Rewriting in STANDARD FORM
Rewrite in STANDARD FORM: π¦=β 4 3 π₯+2
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Rewriting in STANDARD FORM
Rewrite in STANDARD FORM: 5π₯=2π¦β11
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Rewriting in STANDARD FORM
Rewrite in STANDARD FORM: 3 5 π¦+6= 2 3 π₯
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