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# Exploring bivariate numerical data

AP Stats: DAT (BI), DAT‑1 (EU), UNC (BI), UNC‑1 (EU)

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑1.A (LO), DAT‑1.A.1 (EK), DAT‑1.A.2 (EK), DAT‑1.A.3 (EK), DAT‑1.A.4 (EK), DAT‑1.A.5 (EK), DAT‑1.A.6 (EK), UNC (BI), UNC‑1 (EU), UNC‑1.S (LO), UNC‑1.S.1 (EK), UNC‑1.S.2 (EK), UNC‑1.S.3 (EK)

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Constructing a scatter plotExample of direction in scatterplotsPositive and negative associations in scatterplotsBivariate relationship linearity, strength and directionDescribing scatterplots (form, direction, strength, outliers)

Practice

Making appropriate scatter plotsGet 3 of 4 questions to level up!

Positive and negative linear associations from scatter plotsGet 3 of 4 questions to level up!

Describing trends in scatter plotsGet 3 of 4 questions to level up!

Describing scatterplotsGet 3 of 4 questions to level up!

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑1.B (LO), DAT‑1.B.1 (EK), DAT‑1.B.2 (EK), DAT‑1.C (LO), DAT‑1.C.1 (EK)

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Calculating correlation coefficient rExample: Correlation coefficient intuition

Practice

Correlation coefficient intuitionGet 3 of 4 questions to level up!

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑1.D (LO), DAT‑1.D.1 (EK), DAT‑1.D.2 (EK), DAT‑1.E (LO), DAT‑1.E.1 (EK), DAT‑1.G (LO), DAT‑1.G.1 (EK), DAT‑1.G.2 (EK), DAT‑1.G.3 (EK), DAT‑1.H (LO), DAT‑1.H.1 (EK), DAT‑1.H.2 (EK), DAT‑1.H.3 (EK)

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Introduction to residuals and least-squares regressionCalculating residual exampleCalculating the equation of a regression lineInterpreting slope of regression lineInterpreting y-intercept in regression modelUsing least squares regression output

Practice

Calculating and interpreting residualsGet 3 of 4 questions to level up!

Calculating the equation of the least-squares lineGet 3 of 4 questions to level up!

Interpreting slope and y-intercept for linear modelsGet 3 of 4 questions to level up!

Using least-squares regression outputGet 3 of 4 questions to level up!

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑1.E (LO), DAT‑1.E.2 (EK), DAT‑1.F (LO), DAT‑1.F.1 (EK), DAT‑1.F.2 (EK), DAT‑1.G (LO), DAT‑1.G.4 (EK), DAT‑1.I (LO), DAT‑1.I.1 (EK), DAT‑1.I.3 (EK)

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Residual plotsR-squared intuitionR-squared or coefficient of determinationStandard deviation of residuals or root mean square deviation (RMSD)Interpreting computer regression dataInterpreting computer output for regressionImpact of removing outliers on regression lines

Practice

Residual plotsGet 3 of 4 questions to level up!

Influential pointsGet 3 of 4 questions to level up!

### About this unit

We use scatter plots to explore the relationship between two quantitative variables, and we use regression to model the relationship and make predictions. This unit explores linear regression and how to assess the strength of linear models.AP® is a registered trademark of the College Board, which has not reviewed this resource.