S TATISTICS : U SING S CATTER P LOTS LINE OF BEST FIT.

Slides:

Advertisements

Similar presentations

1.5 Scatter Plots and Least Squares Lines

Advertisements

TI Calculator Creating a Scatterplot … Step #1 – Enter the Data

Exponential Regression

Scatterplots and a line of best fit

Scatter Diagrams and Linear Correlation

Investigating Scatter Plots Mr. J. D. Miles

S TATISTICS : U SING S CATTER P LOTS. V OCABULARY Bivariate Scatter Plot Positive Correlation Negative Correlation No Correlation.

Box Plots Calculator Commands 12/1/10. CA Stats Standard 3.02 Locating the 5-Number Summary on TI83/84 A box plot is a graph of the 5-# Summary for a.

EXAMPLE 3 Approximate a best-fitting line Alternative-fueled Vehicles

Scatter Plots and Line of Best Fit. DETERMINING THE CORRELATION OF X AND Y In this scatter plot, x and y have a positive correlation, which means that.

Graphing Scatter Plots and Finding Trend lines

Correlation Coefficient Before doing this on the calculator, the class should do a scatter graph using the data in the table. Discuss the relationship.

The Line of Best Fit Linear Regression. Definition - A Line of Best or a trend line is a straight line on a Scatter plot that comes closest to all of.

Unit 5, Lesson 11 Mrs. King. Press the STAT button Choose 1: Edit…

Scatter-plot, Best-Fit Line, and Correlation Coefficient.

Box Plots. Box Plot A box plot shows a box over the interval containing the middle half of the data. The whiskers extend to the maximum and minimum value.

5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.

Warm Up Graph each point. 1. A(3, 2) 3. C(–2, –1) 5. E(1, 0) 2. B( – 3, 3) 4. D(0, – 3) 6. F(3, – 2)

Trend lines and Lines of best fit.  Statisticians gather data to determine correlations (relationships) between events.  Scatter plots will often show.

2-5: Using Linear Models Algebra 2 CP. Scatterplots & Correlation Scatterplot ◦ Relates two sets of data ◦ Plots the data as ordered pairs ◦ Used to tell.

Math Notebook.  A line of best fit (or "trend" line) is a straight line that best represents the data on a scatter plot.  This line may pass through.

Academy Algebra II 4.2: Building Linear Functions From Data HW: p (3-8 all,18 – by hand,20 – calc) Bring your graphing calculator to class on Monday.

Aim: Line of Best Fit Course: Alg. 2 & Trig. Aim: How do we use data to make predictions – (linear regression)? Do Now: A candle is 6 inches tall after.

1 Using the CBL and the TI-83 To Find The Mathematical Relationship Between The Intensity of a Light Source And the Distance From the Source 20 July 2L+3.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

Unit Three Review. PLEASE PARDON THE MISSPELLINGS!

Investigating Scatter Plots Scatter plots – show correlations (relationships) between two different pieces of data.  dependent variable (y’s or range)

12/5/2015 V. J. Motto 1 Chapter 1: Linear Models V. J. Motto M110 Modeling with Elementary Functions 1.4 Linear Data Sets and “STAT”

Types of Relationships. Line of Best Fit A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through.

Section 2-5 Continued Scatter Plots And Correlation.

Scatter Plots, Correlation and Linear Regression.

Tables and graphs taken from Glencoe, Advanced Mathematical Concepts.

1 Scatter Plots on the Graphing Calculator. 12/16/ Setting Up Press the Y= key. Be sure there are no equations entered. If there are any equations,

1 Scatter Plots on the Graphing Calculator. 12/16/ Setting Up Press the Y= key. Be sure there are no equations entered. If there are any equations,

Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.

2.5 Using Linear Models P Scatter Plot: graph that relates 2 sets of data by plotting the ordered pairs. Correlation: strength of the relationship.

Yes no = -9= 0 = -4 = -5/6.  Students will learn: ◦ To write an equation for a line of best fit and use it to make predictions. The trend line that.

Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.

Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.

1.8 Quadratic Models Speed (in mi/h) Calories burned Ex. 1.

Algebra 1 Ch.6 Notes Page 47 P Scatter Plots and Equations of Lines.

Regression and Median Fit Lines

Linear Regression A step-by-step tutorial… Copyright © 2007 College of the Redwoods First edition by Aeron Ives.

Using the Calculator to Graph Scatter Plots. Everything we just learned about Scatter Plots we will now do with the calculator. Plot points Plot points.

Goal: I can fit a linear function for a scatter plot that suggests a linear association. (S-ID.6)

Statistics: Scatter Plots and Lines of Fit. Vocabulary Scatter plot – Two sets of data plotted as ordered pairs in a coordinate plane Positive correlation.

W ARM U P 1) Graph the lines x = -4 and y = 2 on the same coordinate plane & label. 2) Write the equation in point slope form that goes through the point.

Example 1: SANDWICH Total Fat (g) Total Calories Grilled Chicken 5 300

Intro Stats Lesson 2.2 D – Day 2

Warm Up Practice 6-5 (p. 78) #13, 15, 16, 18, 22, 25, 26, 27, 31 – 36

Scatter plots Recall: Coordinate plane- A two-dimensional surface on which points are plotted and located by their x and y coordinates (x,y). This point.

Line of Best Fit.

2.5 Scatter Plots & Lines of Regression

Exercise 4 Find the value of k such that the line passing through the points (−4, 2k) and (k, −5) has slope −1.

Using linear regression features on graphing calculators.

2.5 Scatterplots and Lines of Regression

Scatter Plots and Regression Lines Without a Calculator

Line of Best Fit.

Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.

Scatter Plots on the Graphing Calculator

Scatter Plots and Line of Best Fit

Sine Waves Part II: Data Analysis.

Sine Waves Part II: Data Analysis.

Scatter Plots and Line of Best Fit

Project Maths Development Team © 2008

Scatter Plots on the Graphing Calculator

SECTION 6.2 Linear Regression

Draw Scatter Plots and Best-Fitting Lines

Predict with Linear Models

Presentation transcript:

S TATISTICS : U SING S CATTER P LOTS LINE OF BEST FIT

A line of best fit (or "trend" line) is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points. You can examine lines of best fit with: 1. paper and pencil only 2. a combination of graphing calculator and paper and pencil 3. or solely with the graphing calculator

I S THERE A RELATIONSHIP BETWEEN THE FAT GRAMS AND THE TOTAL CALORIES IN FAST FOOD ? SandwichTotal Fat (g) Total Calories Hamburger9260 Cheeseburger13320 Quarter Pounder21420 Quarter Pounder with cheese30530 Big Mac31560 Sandwich special31550 Special with bacon34590 Crispy Chicken25500 Fish Fillet28560 Grilled Chicken20440 Grilled Chicken Light5300

P APER AND P ENCIL S OLUTION : 1. Prepare a scatter plot of the data on graph paper. 2. Using a strand of spaghetti, position the spaghetti so that the plotted points are as close to the strand as possible. 3. Find two points that you think will be on the "best-fit" line. Perhaps you chose the points (9, 260) and (30, 530). Different people may choose different points. 4. Calculate the slope of the line through your two points (rounded to three decimal places). (9, 260) and (30, 530) 5. Write the equation of the line. This equation can now be used to predict information that was not plotted in the scatter plot. For example, you can use the equation to find the total calories based upon 22 grams of fat.

5. Write the equation of the line. This equation can now be used to predict information that was not plotted in the scatter plot. For example, you can use the equation to find the total calories based upon 22 grams of fat.

G RAPHING C ALCULATOR S OLUTION : 1. Enter the data in the calculator lists. Place the data in L 1 and L 2. STAT, #1Edit, type values into the lists

2. Prepare a scatter plot of the data. Set up for the scatterplot. 2 nd StatPlot - choose the first icon - choices

Choose ZOOM #9 ZoomStat. Graph shown below.

3. Have the calculator determine the line of best fit. STAT → CALC #4 LinReg(ax+b)

Include the parameters L 1, L 2, Y 1. ( Y 1 comes from VARS → YVARS, #Function, Y 1 )

You now have the values of a and b needed to write the equation of the actual line of best fit. See values at the right. y = x

4. Graph the line of best fit. Simply hit GRAPH.

To get a predicted value within the window, hit TRACE, up arrow, and type the desired value. The screen below shows x = 22.