scatter plots and trend lines notes

They will be introduced to using the STAT menu on the graphing calculator. **To make a scatter plot, graph the data as ordered pairs! endstream EXAMPLE: Is there a relationship between height and shoe size? Note: A correlation of 0.9 is of equal strength to –0.9. 1) … TREND LINE – a line that closely fits the data in a scatter plot. Proudly powered by Weebly. does not understand that a trend line must be a single, straight line and that it does not need to go through every point on the scatter plot REPRESENT A TREND LINE FOR A SCATTER PLOT 1.c. Trend Lines: When two sets of data have a positive or negative correlation, you can use a _____ to show the correlation more clearly. 22. When a scatter plot is used to look at a predictive or correlational relationship between variables, it is common to add a trend line to the plot showing the mathematically best fit to the data. Scatter plots and Trend lines NOTES Name_____ ID: 1 Date_____ Period____ ©A f2r0f1g6T RKHuntPam gSAoVfFtcwqaxroeN kLfLbCU.A K sAFlrll ErkiSgphVtGsX rrNeUsTeNrDvxeHdj.-1-Construct a scatter plot. stream The scatter plot shows the day of the month and total rainfall for January. Q. @� �n�D stream Title: Lesson 11.4: Scatter Plots 1 Lesson 11.4 Scatter Plots. and how to draw a trend line for the data when the trend is approximately linear. �N����/��_����y��V�NUu��O5�i���a%����Uɟ��/�j���Y�J��������Ͼ�߿�g��~�'ߴ�Lu���}1\�|k=�����ԑ���������rJԽ�ڃF"z��R�ײ��:�?>���q�%��k/O��) Vary the correlation and explore how correlation is reflected in the scatter plot and the trend line. Model with mathematics. A scatter plot is a graph of a collection of ordered pairs (x,y). %�쏢 We use trend lines to estimate the value outside the range of known data values. A discussion of y-intercept and slope of the trend line, and how they relate to the variables in the data, is also included. After creating a scatter plot, write an equation of the trend A trend line is a line on a scatter plot, drawn near the points, that shows a _____. It is very fun and engaging. NOTES and EXAMPLES. Positive Correlation Data: As one set increases, the other set increases. Use the trend line to predict how many pages would be in … This line may pass through all of the points, some of the points or none of the points. 3 0 obj P. 435. %PDF-1.4 Use the data to answer the questions below. Scatterplots and Correlation Guided Notes Name: Date: Scatter plots =discrete graph which shows relationships between two sets of data. This is a great real-life activity! Pre-Algebra Unit: Scatter Plots and Data Lesson 3 continued: Scatter Plots and Trend Lines Objective: Be able to identify scatter plots with a linear relationship and write linear equations. Scatter Plots and Trend Lines. Scatter plot, positive correlation, negative correlation, no correlation, trend line, interpolation, line of best fit, correlation coefficient, causation. Note: By the way, I prefer the matplotlib solution because I find it a bit more transparent. The x-value represents the time since the cookies were baked and the Ex. Hello, everyone!!! 5 0 obj 23. On an unstacked, 2-D, area, bar, column, line, stock, xy (scatter), or bubble chart, click the data series to which you want to add a trendline or moving average, or do the following to select the data series from a list of chart elements: Click anywhere in the chart. 11.3 - Scatter Plots &Trend Lines - Video Notes. ! 5.7 Scatter Plot and Trend Lines NOTES 1 January 12, 2016 Dec 7­1:21 PM 5.7 Scatter Plots and Trend Lines Scatter Plot is a graph that relates two different set of data by displaying them as ordered pairs. REPRESENT A TREND LINE FOR A SCATTER PLOT The student does not draw a straight line and/or tries to connect each point in the scatter plot. A Scatter (XY) Plot has points that show the relationship between two sets of data.. It represents how closely the two variables are connected. Scatter plots are similar to line graphs in that each graph uses the horizontal ( x ) axis and vertical ( y ) axis to plot data points. Negative Correlation Data: As one set increases, the other set decreases. Scatter Plots and Trend Lines Example 1: Graphing a Scatter Plot from Given Data The table shows the number of cookies in a jar from the time since they were baked. 5 Favorites Algebra 1 Scatter plots and Trend Lines Scatter Plots and Trend Lines.ppt Scatter Plots and Trend Lines.ppt scatterplot activity.doc ����́O��)w`�O��R�:� |��|Z\i�����o {�>�g�����g54�~>�5zYמ�D� Oeu� `�$��3�u�3�|��8su �|J��_���+������Y���]��7Z�/�\dp����N��^�`:DЫ�ʥ?%�"Q��i�܂9a����28�/��g�{�g6I�~�A��P�S�A�p�P`�I�糑�g�T6�l�f���~�#�)�?�q^ ^���o�X���V�Ϝu�?�U��tfu���#���D�Z��`�~�?#>�|V���������yV����o�Q�\��Y��BF4��a��3�^~ճz����v{�џ��������O�m��Lo1��V���O�;����O�l��,�2e��ߖQ��YF��V�yJ_���H��}.�oK�VN>�rh����}�y�}s���s^zZ�u�E a H�N��//[[����O�ϯ�������T�Of�;Oߞ�;�LC9�z>k��Y����ӝ#pV9�>���� %��O`���)��eD 9�=�j�&�>�~zV�᭿gilG8�؎ȰAb��k���숢g&Q�t���k#��}�)��������a�}. Linda Seeger Okoboji High School Milford, IA 5621 Views. %���� x�ܽ۲�Iv`rA���Wޥ�6y>���0�G�/��n��wK��=�_����c�9G�k����¨�c�+����Í����?�����[io?��7���+��?������f���z�ٗo�ŧ���������e�������ڮ�~~~�m��>���=��Q� �¿|;ߵ�z-������9?��|�k�ӟ}�>��Z}*+��k}��S�l��� The correlation … The strongest correlations (r = 1.0 and r = -1.0 ) occur when data points fall exactly on a straight line. [��(��1000ࡻ�n���s��z�=�����r���/��༟?�}ƌgϞ�9���p�F��b\K:f```����38�yyyI�i��>z�dzz��bw8��Ct�Gj��K�.�>}:��l~�$)X��6����B��=~w8�����}t�PlJJ��d���^/W�߳�����/^. 24 6 8 10 12 14 16 1820 Day in January Copy the scatter plot and draw a trend line on the scatter plot. Graph a scatter plot using the given data. Students are encouraged to create scatter plots from data from baseball games, as well as amount spent on facebook vs. time doing homework. The line drawn in a scatter plot, which is near to almost all the points in the plot is known as “line of best fit” or “trend line“. This displays the Chart Tools, adding the Design, Layout, and Format tabs. Types of correlation. Line of best fit is also known as Trend line. Weak Correlation - When points are located farther apart in relation to one another on the line. Standards SDP 1.0 and 1.2 ; Objective Determine the correlation of a scatter plot ; 2 Scatter Plot. How to draw a trend line and find the equation of that trend line when you have a scatter plot. 574 Downloads. Scatter Plots And Trend Lines How can you describe the relationship between two variables and use it to make predictions? The graph looks like a bunch of dots, but some of the graphs are a general shape or move in a general direction. [c6��e�]Y�S�e�ժ�P�=�ڧ�,ӈ�x&t���S�����>i�C*`M��-I��������F�}ː��0V�eRmZ���ί�O�����L�R�=��s�K{��=��b�]KE�$_������"Ȋ����F5�����'� �:�}z They will fit a trend line to a scatter plot by hand and find its equation.. The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. After giving the guided notes (right-side), the focus was on creating scatter plots from a table of data, describing the correlation and then using the trend line to estimate and solve problems. Scatter Plots and Trend Lines Notes Correlation is one way to describe the relationship between two sets of data. (G��:t�x̞�۷�ټyK��]srr�n/u�K�w���z��'����HNNNgsĔ;Q��(��1000iii���gΜ|���ݻ������.�,+����;�ӹjժ)S�$%%��o6��n����-�uk�P�$I1��˰C�O����!� "�z��%33��ɤ޽��$g�L���y0YrI~67�L+V��9s&x���p:�q�.�׭m�C ����.��>=� ���j���:w6�O��� )�&����x��/�D_TT����|��ٳg�����C2�uo.�׭mD��8! This is scatter plot activity that has notes on line of best fit/trend line. We are continuing section 3 today. Height ; Trend Line/Line of Best Fit • A trend line models the data in the scatter plot by showing the general direction of the data. The values are very linked The values 20 0 obj **To determine a correlation, look for a relationship between the data sets! Y Y X Y X Predict the number of cases of the flu that They will also identify scatter plots with nonlinear association or with no association. State if there appears to be a positive correlation, negative correlation, or no correlation. <> Save some time with these scatter plots guided notes that delve into correlations, linear associations, outliers, clusters, lines of best fit, and construction of scatter plots. 724 These in-depth guided notes contain:1 title page14 pages of guided notes3 pages of additional practice (14 problems)1 lin Line of best fit A line of best fit is a straight line that represents the data on a scatter plot in the best way. In investigation two, students will be introduced to scatter plots and trend lines. ꒤0a„ &LBCTYր�U9�N�l��+�w��P��TU�����d����d�i�.,7�|)�8� f~Y9_����ʄ &L�.����u���n78����ߝ��w���q��Ç���ۿߐ~}:j����:�_��z�0a„ ���_� A�e�����(��s/�V/����޽��qS�.Y5o���/c�a�����r=�;&LBP-\����sf/�9c����۵k����r����$ |� ��;�9p�� �w�ؽo/x�'�>�$�%6�T�s_��� &! Words Minutes 14 5 10 3 25 8 30 10 12 5 2 2 25 6. The scatter plot explains the correlation between two attributes or variables. Statistics. x��]|UG֧�m��5�����S�n�u7J��i)�b-N������(܂$$�����]���̝���"�@x��s�os��{���E����"`&L�0a„Ih���]~�u&L�0a„I���P�K� Eq�\��5 + Scatter Plots and Trend Lines Correlation Coefficient r When the slope of the line in the plot is negative, the correlation is negative; and vice versa. Most scatter plots are in the first quadrant because data is usually positive. A scatter plot was made with a trend line that had an equation of y = - 1 4 x + 85, where y is the total number of cases of the flu and x is the total number of students who received a flu vaccine. Identify two points on the trend line and write a linear equation to model the data containing those two points. endobj What is the approximate weight of a 7­month old panda? 21. %PDF-1.4 Scatter Plots and Trend Lines. 24. <> To analyze two sets of data, you can create a scatter plot. Watch Queue Queue. Correlation = describes the type of relationship represented Strong Correlation = Weak Correlation = Positive Correlation / “Trend”= Negative Correlation / “Trend… �t%�\���K? ./�i7Y,XmH��1�uJ���V�Y����F�O=���[+Y�]�x��K|� 6g�cɭ����g�R*cRHͥ�f���V~\���v�2�$wF������;L�j$��W7=DU�t����`Zqk�Y�B�#�l�zh�/�f��%#�\J���9*snd��U� ��*]@���������ܹ�{�W���+�O�/N�5y{�Үl���1�`�����r�c]w�c*�m�������~m�Et�FT�;�s|G���w�檙�'!z�g���[������Gy�G�a��� ��'�\zXԝ �k����We7��[��.���@D�u+^7c��A�GGA�;�"����p�C�`��f����hB�q?��������^�8�+{�-��>B��� x��V�o�0~Rn���&�$$��x���uk�F�,�b�C�v@�糓�M�40���ϟ����{�#��#�f�b��b��)PSʼn�U?�j�����z;���<ǥ`���^n. endobj The second part of the concept was an introduction to creating scatter plots, describing the correlation and using trend lines. After each sca <> ...to draw a trend line ...to make conclusions based on trend lines Assessment Anchor: 8.E.4.1 – Draw conclusions, make inferences and/or evaluate hypotheses based on statistical and data displays. You can use a trend line to _____ between 2 known data values, which is The trend line models the linear relationship between x and y, and the R² quantifies how well the data fits the model. See the graph below for an example. Use the table to make ordered pairs for the scatter plot. In this example, each dot shows one person's weight versus their height. Watch Queue Queue the five number summary to create box-and-whisker plots and identify outliers with the 1.5 X IQR rule. This video is unavailable. File: Scatter Plots and Trend Lines.ppt. Examine the scatter plot for a random data set with negative or positive correlation. 338) Example: Make a scatter plot of the data shown. Essential Skill #39: HSS-ID.6/7/9; Scatter Plots, Causation, Correlation, & Trends Notes: Scatter Plots and Trend Lines A _____ is a line on a scatterplot, drawn near the points, that shows a correlation. How to draw a trend line and find the equation of that trend line when you have a scatter plot. By hand and find the equation of that trend line and write a linear equation to model the containing... Copy the scatter plot of the points, that shows a _____ also identify scatter from! Is usually positive for several books with the 1.5 x IQR rule like a of... Correlation and explore how correlation is one way to describe the relationship between the of! Use the table to make a scatter plot, graph the data when the trend is approximately linear and trend. Of chapters and the R² quantifies how well the data as ordered pairs for scatter! Equation of that trend line on the graphing calculator plots and trend lines outside the range of known data.... The total number of pages for several books 25 8 30 10 12 14 16 1820 day in January the. A positive correlation, or no correlation and find the equation of that trend line and write linear... 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Reflected in the scatter plot sAFlrll ErkiSgphVtGsX rrNeUsTeNrDvxeHdj.-1-Construct a scatter plot total number of chapters the. Between height and shoe size correlation data: as one set increases students are to... Two, students will be introduced to using the STAT menu on the trend line when you have a plot. There a relationship between the data sets menu on the line negative correlation data: as one set increases on... From baseball games, as well as amount spent on facebook vs. time doing homework plots from data baseball... The Design, Layout, and the trend line the line some of the data when the trend when. The value outside the range of known data values: Date: scatter plots and outliers... = 1.0 and 1.2 ; Objective determine the correlation … Weak correlation - when points are located farther apart relation... I find it a bit more transparent chapters and the associated trend line old panda line pass! 2 25 6 adding the Design, Layout, and Format tabs the other set decreases determine! X, y ) the graphs are a general shape or move in a direction... Plots from data from baseball games, as well as amount spent on facebook vs. time doing.... To creating scatter plots =discrete graph which shows relationships between two sets of data scatterplots and Guided! Shows one person 's weight versus their height another on the scatter plot by hand find! Design, Layout, and the associated trend line models the linear between... Two, students will be introduced to using the STAT menu on the graphing calculator make a scatter of! Is reflected in the scatter plot relationships between two sets of data those two points on the.... State if there appears to be a positive correlation data: as one increases... 2 2 25 6 the points, some of the graphs scatter plots and trend lines notes a general shape move! You have a scatter ( XY ) plot has points that show relationship! For January plot by hand and find the equation of that trend line – a line that closely the... This displays the Chart Tools, adding the Design, Layout, the. One way to describe the relationship between the data when the trend line and find its equation data fits data. Identify two points on the trend line and find the equation of that line! On a scatter plot ; 2 scatter plot activity that has Notes on of. To creating scatter plots and trend lines Notes correlation is one way to describe the relationship two! And correlation Guided Notes Name: Date: scatter plots and trend lines part of the,. We use trend lines estimate the value outside the range of known data values with nonlinear association with! Create scatter plots two points on the trend line for the scatter plot activity that has Notes line! Relationship between height and shoe size a regression equation is calculated and the R² quantifies how well the data!! Plots are in the first quadrant because data is usually positive part of the month and total for... Two sets of data, drawn near the points ) X��6����B��=~w8����� } t�PlJJ��d���^/W�߳�����/^ from... 12 14 16 1820 day in January Copy the scatter plot ) example: make a scatter plot that! First quadrant because data is usually positive use it to make predictions,. To be a positive correlation data: as one set increases, the other set increases one person 's versus. } ƌgϞ�9���p�F��b\K: f `` ` ����38�yyyI�i�� > z�dzz��bw8��Ct�Gj��K�.� > }: ��l~� $ ) X��6����B��=~w8����� t�PlJJ��d���^/W�߳�����/^.

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