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Using Your TI-NSpire Calculator: Linear Correlation and Regression Dr. Laura Schultz Statistics I This handout describes how to use your calculator for various linear correlation and regression applications. For illustration purposes, we will work with a data set consisting of the Amazon.com

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investigation of patterns of association between two quantities by constructing and interpreting scatter plots for bivariate measurement data. description of patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association Diego Basch redid some of the above plots with overall homicide data (not just gun homicide). aphyr redid one of my plots on a log scale and also compared gun homicide to income and wealth. Dominikus Baur created a more interactive version of the above plots using d3. Ryan Rosario pointed me towards another analysis of deaths vs. ownership. • A key feature in a scatterplot is the association, or trend between X and Y . Higher January temperatures tend to be paired with higher June temperatures, so these two values have a positive association. Higher latitudes tend to be paired with lower January tempera-ture decreases, so these values have a negative association.

Which scatter plot would a line of best fit be described by the equation, y = x + 2?1 2 Eliminate answer choices (b), (c), & (d) because function has a positive slope and these scatter plots do not. Answer (a) is the only scatter plot with a positive slope. • Linear relationships will always have either a positive association or a negative association. • Quadratic (or Parabolic) relationships will always have neither positive nor negative association. • The value of the correlation will help to determine association (see page 2). 4.

b. Do the data represent a positive, negative, or no association? Explain. Problems Higher Order Thinking 5. Make a Conjecture Suppose a scatter plot shows that as the values of x decrease, the values of y decrease. Does the scatter plot show a positive, negative, or no association? Persevere with Problems Is it always, sometimes, or never true ... The scatter plot shows measured values of the reference or comparison method on the horizontal axis, against the test method on the vertical axis. The relationship between the methods may indicate a constant, or proportional bias, and the variability in the measurements across the measuring interval. Homework – Scatter Plots Determine whether each scatter plot shows a positive, negative or no relationship. 1. 2. 3. Use the following information to answer problems 4-7. Scientists have determined that there may be a relationship between temperature and the number of chirps produced by crickets. The table gives the temperature and the number of a) Today our goals are to explain what a scatter plot is showing as it relates to life outside of the classroom. We will identify positive and negative association within a scatter plot, as well as clusters and outliers. b) Important vocabulary: bivariate data, scatter plot, positive association, negative association, cluster, outlier

Practice 6-6 Scatter Plots and Equations of Lines Decide whether the data in each scatter plot follow a linear pattern. If they do, find the equation of a trend line. 1. 2. 3. Use a graphing calculator to find the equation of the line of best fit for the following data. Find the value of the correlation coefficient r and determine

CH10: Correlation and Regression Santorico - Page 412 Once we’ve collected all the pairs of data listed as (x, y) we can draw a graph to represent the data. This graph is called a scatter plot. A scatter plot is a graph of ordered pairs of data values that is used to determine if a relationship exists between the two variables. What is a scatterplot and how does it help us? Choose the correct answer below. A. A scatterplot is a formula that fits a straight line to data points, which helps plot the data. B. A scatterplot is a graph of paired (x, y) quantitative data. It provides a visual image of the data plotted as points, which helps show any patterns in the data.

The scatter plot compares the hours of time players spent practicing baseball, and the number of hits missed during games. If a player spent 5 hours practicing baseball, which would be the best prediction of how many hits they would miss? A) 10 B) 30 C) 50 D) 70 0 12345678910 What does the y-intercept of the graph represent? A.) After bowling O ...

Constructing a scatter plot. Practice: Making appropriate scatter plots. Example of direction in scatterplots. Practice: Positive and negative linear associations from scatter plots. Practice: Describing trends in scatter plots. Positive and negative associations in scatterplots. This is the currently selected item. CCSS.Math.Content.8.SP.A.1 - Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. Date: 5 Scatter Plots 8.SP.1 positive association bunch of ets on a used +0 see is a bC\Ween X negative association The points slant up from left to right, as if

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