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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Presentation transcript:

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

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.

Curriculum Vocabulary Significant Digits Significant digits are digits that carry meaning contributing to a number’s 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 𝐴𝑥+𝐵𝑦=𝐶 where 𝐴, 𝐵, and 𝐶 are constants and 𝐴 and 𝐵 are not both zero.

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 𝑦=𝑚𝑥+𝑏 where 𝑏 is the y-intercept and 𝑚 is the slope. Literal Equation Literal equations are equations involving two or more variables, in which the variables represent specific measures.

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: 𝐴𝑥+𝐵𝑦=𝐶 or 𝐴𝑥+𝐵𝑦+𝐶=0

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.

Rewriting in STANDARD FORM Rewrite in STANDARD FORM: 𝑦=3𝑥−7

Rewriting in STANDARD FORM Rewrite in STANDARD FORM: 𝑦=− 4 3 𝑥+2

Rewriting in STANDARD FORM Rewrite in STANDARD FORM: 5𝑥=2𝑦−11

Rewriting in STANDARD FORM Rewrite in STANDARD FORM: 3 5 𝑦+6= 2 3 𝑥