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1 Welcome to class! Put your Create Your Own Survey into the inbox. Sign into Edgenuity. Begin to work on the NC-Math I material.

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3 Unit Map - Statistics Monday - Frequency Charts and Histograms Tuesday - Measures of Central Tendency Wednesday - Box and Whisker Plots (HALF DAY) Thursday - Collect and Analyze Data Friday - Two Way Frequency Charts Monday - Line of Best Fit Tuesday - Statistics Review Day Wednesday - Statistics Test

4 Announcements Two units left! Statistics (doing now) and Geometry! Statistics test is be Wednesday Math I Field Test is on May 1st EOC review will begin soon - remember your EOC is 20% of your final math grade. The EOC will be on May 30th.

5 On Tuesday May 1st, you will take the Math I Field Test This is a field test - you will not receive a score, nor will I It is used to make decisions about testing for next school year It is shorter than the real Math I EOC, but similar in style - good practice for us You will take it during 1st block, so when you come to school that day you will: Go to the bathroom Put everything in your locker except your calculator, pencil, water, and a book to read Report to your assigned testing location Block 1 - Ms. Haywood s Room - Room 315 Block 3 - Ms. Eisner s Room - Room 316 Block 4 - Ms. Kiker s Room - Room 317

6 Line of Best Fit 4/23/2018

7 Scatter Plots and Trend Lines A scatter plot is a graph that relates two different sets of data by displaying them as ordered pairs. You can use scatter plots to find trends in data.

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9 Making a Scatterplot and Describing its Correlation

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15 How to Clear your Calculator s Memory 2nd Enter * You will be using this often, because anytime you enter data or graphs your calculator will save this information. You will want to clear out the information between every problem. AFTER YOU CLEAR YOUR CALCULATOR ALWAYS TURN DIAGNOSTICS ON 2nd 0 DiagnosticOn Enter

16 Putting a Scatterplot on your Calculator 1) STAT; EDIT; ENTER 2) Enter x's in L1 column and y's in L2 column 3) 2nd STAT PLOT; ENTER 4) press ENTER when ON is blinking 5) make sure the 1st graph is selected 5) Graph * If you do not see your graph then your window needs adjusted. Use the ZOOM, 9 (Zoom Stat) button.

17 How to find the trend line (linear regression) If you have a TI-83: 1) STAT, CALC, LinReg; 2) L1, L2,(Yellow Keys) 3) VARS, Y-VARS, ENTER, ENTER, ENTER 4) Graph If you have a TI-84: 1) STAT, CALC, LinReg 2) Scroll down to Store RegEQ: 3) VARS, Y-VARS, ENTER, ENTER 4) Calculate, ENTER 5) Graph

18 Use your graphing calculator to 1. create a scatter plot 2. find the equation of the line of best fit 3. create a line of best fit on your graph. 4. What is the cost of attending in the academic year?

19 Correlation coefficient Correlation coefficient, r, is a number between -1 to 1, that tells you how closely the equation models the data. The nearer r is to 1 or -1 the more closely the data clusters around the line of best fit. If r is near 1, the data lie close to a line of best fit with positive slope. If r is near -1, the data lie close to a line of best fit with negative slope. (Hint - if you can t find your correlation coefficient, you didn t turn diagnostic on)

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21 You try Using your calculator complete the following 1. create a scatter plot 2. create a line of best fit 3. create an equation for the line of best fit. 4. Find the value of the correlation coefficient r and explain what that means for this problem.

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23 What if the data looks like it is closer to an exponential? If you have a TI-83: 1) STAT, CALC, ExpReg; 2) L1, L2,(Yellow Keys) 3) VARS, Y-VARS, ENTER, ENTER, ENTER 4) Graph If you have a TI-84: 1) STAT, CALC, ExpReg 2) Scroll down to Store RegEQ: 3) VARS, Y-VARS, ENTER, ENTER 4) Calculate, ENTER 5) Graph

24 Trend Lines on the Calculator Plot the following points in your calculator: Do the points appear to be a linear trend, or an exponential trend? Find the line of best fit for the data Correlation Coefficient to determine if you should be linear or exponential

25 Residuals A residual is the difference between the measured value and the predicted value of a regression model. It is important to understand residuals because they show how accurate a mathematical function, such as a line, is in representing a set of data.

26 Residual Plot A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis. If the points in a residual plot are randomly dispersed around the horizontal axis, a linear regression model is appropriate for the data; otherwise, a non-linear model is more appropriate.

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28 Graphing a Residual Plot on you Calculator

29 Homework 15 minutes on Edgenuity.

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