Alg+1+-+Unit+10

//**S-ID.6.**//Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.(Create a scatter plot and describe the form, strength, and direction of the scatter plot from problems-linear and exponential functions).
 * ===**Common Core Standard(s)**===

//**S-ID.7.**//Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

//**S-ID.8.**// Compute (using technology) and interpret the correlation coefficient of a linear fit.

b. Informally assess the fit of a function by plotting and analyzing residuals. c. Fit a linear function for a scatter plot that suggests a linear association.
 * //S-ID.6//**a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

//**S-ID.9.**// Distinguish between correlation and causation.**(Included throughout Unit 10)** || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Mathematical Practice(s)**

 * 1. Make sense of problems and perseveres in solving them.**
 * 2. Reason abstractly and quantitatively.**
 * 3. Construct viable arguments and critique the reasoning of others.**
 * 4. Model with mathematics**
 * 5. Use appropriately tools strategically**
 * 6. Attend to precision**
 * 7. Look for and make use of structure**
 * 8. Look for and express regularity in repeated reasoning.** ||
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**Information Technology Standard**
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**Revised Bloom's Level of thinking**
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 * Remembering**
 * Understanding**
 * Applying**
 * Analyzing**
 * Evaluating**
 * Creating** ||

**I can...**

 * S-ID.6 I can differentiate between linear and exponential functions given a table of values or a graph.**
 * I can create a scatter plot of linear and exponential functions.**
 * I can describe the form, strength, and direction of the relationship of the two variables.**
 * S-ID. 9 I can determine if the relationship between two variables is one of correlation or causation.**
 * S-ID.7 I can interpret the slope and intercepts of linear models.**
 * S-ID.8 I can compute and interpret the correlation coefficient of a line of best fit.**
 * S-ID.6b I can calculate the residuals for the data points fitted to a function.**
 * I can create and analyze a residual plot.**
 * S-ID.6c I can explain the meaning of a centroid(Referring to the statistical centroid).**
 * I can find the centroid.**
 * I can explain the concept of the sum of the squared errors.**
 * I can use the centroid to find the sum of the squared errors.**
 * I can use the sum of the squared errors of a line and compare two lines fitted to the same set of data.**
 * I can explain the least squares regression line(LSRL).**
 * I can find the least squares regression line(LSRL).**

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**Essential Vocabulary**

 * correlation(position, negative, none, strong, weak), causation vs. cause and effect relationship, correlation coefficient(r), linear fit(line of best fit, trend line, ), exponential fit, scatterplot, magnitude(absolute value), exponential growth, exponential decay, residual, residual plot, centroid(referencing statistical centroid), squared errors, sum of the squared errors, Least Squares Regression Line(LSRL)**

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