{"id":3816,"date":"2022-03-15T22:58:45","date_gmt":"2022-03-15T22:58:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=3816"},"modified":"2022-04-28T14:07:38","modified_gmt":"2022-04-28T14:07:38","slug":"corequisite-support-activity-for-5-a","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/corequisite-support-activity-for-5-a\/","title":{"raw":"Corequisite Support Activity for 5.A: The Correlation Coefficient","rendered":"Corequisite Support Activity for 5.A: The Correlation Coefficient"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>what you'll need to know:<\/h3>\r\nIn this support activity you\u2019ll become familiar with the following:\r\n<ul>\r\n \t<li>Use technology to create a scatterplot.<\/li>\r\n \t<li>Use a scatterplot to answer questions about a dataset.<\/li>\r\n \t<li>Describe a trend in a scatterplot.<\/li>\r\n<\/ul>\r\n<\/div>\r\nIn this section of the course and in the upcoming activity, you will use technology to create a scatterplot and use scatterplots to describe the relationship between two quantitative variables.\r\n<h2>Scatterplots<\/h2>\r\nScatterplots are graphs that plot two quantitative variable values, an X-value on the horizontal axis, and a Y-value on the vertical axis, for each observational unit in a dataset. They show the relationship in the data between two sets of values, and are useful to visually determine whether a trend appears to exist in the data.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nSuppose a small convenience store wondered what the relationship was between the number of bags of ice it sold and the temperature outside The scatterplot below displays the data collected. Use it to answer the following questions.\r\n\r\n<img class=\"aligncenter size-full wp-image-4575\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/03\/14202916\/Ice_over_temp_scatterplot.jpg\" alt=\"A graph called Scatterplot is labeled Bags of Ice Sold along the vertical axis and the Temperature (degrees Fahrenheit) along the horizontal. Dots appear on the graph at the (horizontal, vertical) coordinates (40,8), (45, 10), (50, 7), (55,9), (60, 12), (65, 10), (70, 14), (75, 24), (80, 28), (85, 25), (90, 32), and (95, 35).\" width=\"1818\" height=\"967\" \/>\r\n\r\n&nbsp;\r\n<ol>\r\n \t<li>What variable is graphed on the horizontal axis?<\/li>\r\n \t<li>What variable is graphed on the vertical axis?<\/li>\r\n \t<li>What do you think each dot on the graph represents?<\/li>\r\n \t<li>Does the number of bags sold seem to be increasing or decreasing as temperature increases?<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"667456\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"667456\"]\r\n<ol>\r\n \t<li>Temperature (Degrees Fahrenheit)<\/li>\r\n \t<li>Bags of ice Sold<\/li>\r\n \t<li>The number of bags of ice sold at a given temperature. Example, when the temperature was 75 degrees, 25 bags of ice were sold.<\/li>\r\n \t<li>The graph appears to\u00a0 show that the number of bags sold increases as the temperature increases. [\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/div>\r\nIn this corequisite support activity, we explore the relationship between neighborhood income and access to organic produce items at local grocery stores.\r\n<h3><img class=\"aligncenter wp-image-4571 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/03\/14135603\/16_Pike_Place_Market_greengrocer_vegetable_display-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" \/><\/h3>\r\nThe table of data presented below includes information collected from 18 grocery stores in San Antonio, Texas. The average household income (in thousands of dollars)[footnote]Income by Zip Code. (2021). https:\/\/www.incomebyzipcode.com\/[\/footnote] and the number of organic vegetables offered were collected to explore this relationship.[footnote]HEB. (2021). Shop by Department. https:\/\/www.heb.com[\/footnote] We'll enter the data into a data analysis tool to create a scatterplot then we'll use the scatterplot to answer questions about the data.\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Store Location<\/strong><\/td>\r\n<td><strong>Average Household Income ($1000s)<\/strong><\/td>\r\n<td><strong>Number of Organic Vegetables Offered<\/strong><\/td>\r\n<td><\/td>\r\n<td><strong>Store Location<\/strong><\/td>\r\n<td><strong>Average Household Income<\/strong>\r\n\r\n<strong>($1000s)<\/strong><\/td>\r\n<td><strong>Number of Organic Vegetables Offered<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>S. Flores<\/td>\r\n<td>71<\/td>\r\n<td>36<\/td>\r\n<td><\/td>\r\n<td>Marbach Rd.<\/td>\r\n<td>49<\/td>\r\n<td>38<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>N. Rosillo St.<\/td>\r\n<td>34<\/td>\r\n<td>4<\/td>\r\n<td><\/td>\r\n<td>Babcock Rd.<\/td>\r\n<td>66<\/td>\r\n<td>84<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Nogalitos St.<\/td>\r\n<td>71<\/td>\r\n<td>28<\/td>\r\n<td><\/td>\r\n<td>Wurzbach Rd.<\/td>\r\n<td>87<\/td>\r\n<td>61<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Fredericksburg Rd.<\/td>\r\n<td>49<\/td>\r\n<td>31<\/td>\r\n<td><\/td>\r\n<td>W. Loop 1604 N.<\/td>\r\n<td>78<\/td>\r\n<td>56<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Olmos<\/td>\r\n<td>78<\/td>\r\n<td>78<\/td>\r\n<td><\/td>\r\n<td>Bandera Rd.<\/td>\r\n<td>59<\/td>\r\n<td>62<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>N. New Braunfels Ave.<\/td>\r\n<td>41<\/td>\r\n<td>14<\/td>\r\n<td><\/td>\r\n<td>S. New Braunfels<\/td>\r\n<td>50<\/td>\r\n<td>44<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Castroville<\/td>\r\n<td>38<\/td>\r\n<td>12<\/td>\r\n<td><\/td>\r\n<td>S.W. Military<\/td>\r\n<td>48<\/td>\r\n<td>26<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Culebra Rd.<\/td>\r\n<td>50<\/td>\r\n<td>18<\/td>\r\n<td><\/td>\r\n<td>S. Zarzamora<\/td>\r\n<td>56<\/td>\r\n<td>29<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>S.E. Military Dr.<\/td>\r\n<td>50<\/td>\r\n<td>65<\/td>\r\n<td><\/td>\r\n<td>E. Basse Rd.<\/td>\r\n<td>125<\/td>\r\n<td>95<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nCreate a scatterplot of this dataset by following the directions in Question 1.\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 1<\/h3>\r\nTo create a scatterplot of this data, go to the Relationship Between Two Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/Association_Quantitative\/\">https:\/\/dcmathpathways.shinyapps.io\/Association_Quantitative\/<\/a>.\r\n\r\nStep 1) Locate the drop-down menu under <strong>Enter Data<\/strong>\u00a0and select <strong>Your Own.<\/strong>\r\n\r\nStep 2) Select the box titled <strong>Use ID Variable<\/strong>\u00a0and name the ID Variable and the X and Y-Variables appropriately given the three columns in the data table.\r\n\r\nStep 3) Complete the data table appropriately. Then select <strong>Submit Data<\/strong> (you may need to scroll down to see it) to create the scatterplot. It should resemble the image of the plot in Question 5 below.\r\n\r\n[reveal-answer q=\"543882\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"543882\"]Double check that you entered the data correctly. Your plot should resemble this one, from Question 5.\r\n\r\n<img class=\"alignnone wp-image-1380\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/14214938\/Picture191-300x131.png\" alt=\"A scatterplot showing &quot;Average Household Income ($1000s)&quot; on the x-axis and &quot;Number of Organic Vegetables Offered&quot; on the y-axis. There is a circled point at approximately (125, 95).\" width=\"1161\" height=\"507\" \/>[\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\n<\/div>\r\nUse the scatterplot you created in Question 1 to answer Questions 2\u20135.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 2<\/h3>\r\nWhat does each dot represent?\r\n\r\n[reveal-answer q=\"812324\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"812324\"]Hover over a dot in the tool to reveal what it represents or consider the (X, Y) coordinate that signifies the location of each dot..[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 3<\/h3>\r\nWhat do the horizontal and vertical axes represent?\r\n\r\n[reveal-answer q=\"106196\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"106196\"]What did you label them?[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 4<\/h3>\r\nWhich store has a greater number of organic vegetables offered: the store located on Marbach Road or the store located on Babcock Road? Describe how you can tell using the scatterplot.\r\n\r\n[reveal-answer q=\"814550\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"814550\"]What do <em>you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 5<\/h3>\r\nWhich store is represented by the circled dot?\r\n\r\n<img class=\"alignnone wp-image-1380\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/14214938\/Picture191-300x131.png\" alt=\"A scatterplot showing &quot;Average Household Income ($1000s)&quot; on the x-axis and &quot;Number of Organic Vegetables Offered&quot; on the y-axis. There is a circled point at approximately (125, 95).\" width=\"1161\" height=\"507\" \/>\r\n\r\n[reveal-answer q=\"305309\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"305309\"]What do <em>you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3>Increasing and Decreasing Trends<\/h3>\r\nScatterplots are helpful when we want to determine whether a two quantitative variables appear to be related. Each dot on the scatterplot represents the intersection of the two values for a given ID variable. In the data table above, for example, the ID variable is the neighborhood observed and the two quantitative data items collected where neighborhood income and number of organic vegetables available. Did you hover over a dot in the scatterplot your created to see those three pieces of information displayed?\r\n\r\nDid the dots in your scatterplot tend to rise up and to the right of the graph? In other words, did it appear true that the higher the average income of a neighborhood was, the greater the number of organic vegetables were available? Keep that idea in mind as you answer Questions 6 - 8.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 6<\/h3>\r\nDo a quick Internet search. What does it mean for a scatterplot to have an increasing trend? A decreasing trend?\r\n\r\n[reveal-answer q=\"436607\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"436607\"]Copy and paste the question \"What does it mean for a scatterplot to have an increasing trend? into a browser search bar.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 7<\/h3>\r\nList one example of an increasing trend and one example of a decreasing trend.\r\n\r\n[reveal-answer q=\"891333\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"891333\"]Consider the input first -- something that increases (time, temperature, demand for a product, prices, etc.) -- then think of something else that either increases or decreases related to that input.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 8<\/h3>\r\nOn your paper, sketch a scatterplot showing an increasing trend and another showing a decreasing trend. To answer this question, you can upload a picture of your sketch or describe it.\r\n\r\n[reveal-answer q=\"690366\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"690366\"]What do <em>you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>\r\nYou've learned to use technology to create a scatterplot and use it to understand the relationship between two quantitative variables in a dataset. You've also gained an understanding of increasing and decreasing trends in scatterplots. It's time now to move on the the course material in this section.","rendered":"<div class=\"textbox learning-objectives\">\n<h3>what you&#8217;ll need to know:<\/h3>\n<p>In this support activity you\u2019ll become familiar with the following:<\/p>\n<ul>\n<li>Use technology to create a scatterplot.<\/li>\n<li>Use a scatterplot to answer questions about a dataset.<\/li>\n<li>Describe a trend in a scatterplot.<\/li>\n<\/ul>\n<\/div>\n<p>In this section of the course and in the upcoming activity, you will use technology to create a scatterplot and use scatterplots to describe the relationship between two quantitative variables.<\/p>\n<h2>Scatterplots<\/h2>\n<p>Scatterplots are graphs that plot two quantitative variable values, an X-value on the horizontal axis, and a Y-value on the vertical axis, for each observational unit in a dataset. They show the relationship in the data between two sets of values, and are useful to visually determine whether a trend appears to exist in the data.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Suppose a small convenience store wondered what the relationship was between the number of bags of ice it sold and the temperature outside The scatterplot below displays the data collected. Use it to answer the following questions.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4575\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/03\/14202916\/Ice_over_temp_scatterplot.jpg\" alt=\"A graph called Scatterplot is labeled Bags of Ice Sold along the vertical axis and the Temperature (degrees Fahrenheit) along the horizontal. Dots appear on the graph at the (horizontal, vertical) coordinates (40,8), (45, 10), (50, 7), (55,9), (60, 12), (65, 10), (70, 14), (75, 24), (80, 28), (85, 25), (90, 32), and (95, 35).\" width=\"1818\" height=\"967\" \/><\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li>What variable is graphed on the horizontal axis?<\/li>\n<li>What variable is graphed on the vertical axis?<\/li>\n<li>What do you think each dot on the graph represents?<\/li>\n<li>Does the number of bags sold seem to be increasing or decreasing as temperature increases?<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q667456\">Show Answer<\/span><\/p>\n<div id=\"q667456\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>Temperature (Degrees Fahrenheit)<\/li>\n<li>Bags of ice Sold<\/li>\n<li>The number of bags of ice sold at a given temperature. Example, when the temperature was 75 degrees, 25 bags of ice were sold.<\/li>\n<li>The graph appears to\u00a0 show that the number of bags sold increases as the temperature increases. <\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<p>In this corequisite support activity, we explore the relationship between neighborhood income and access to organic produce items at local grocery stores.<\/p>\n<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-4571 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/03\/14135603\/16_Pike_Place_Market_greengrocer_vegetable_display-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" \/><\/h3>\n<p>The table of data presented below includes information collected from 18 grocery stores in San Antonio, Texas. The average household income (in thousands of dollars)<a class=\"footnote\" title=\"Income by Zip Code. (2021). https:\/\/www.incomebyzipcode.com\/\" id=\"return-footnote-3816-1\" href=\"#footnote-3816-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a> and the number of organic vegetables offered were collected to explore this relationship.<a class=\"footnote\" title=\"HEB. (2021). Shop by Department. https:\/\/www.heb.com\" id=\"return-footnote-3816-2\" href=\"#footnote-3816-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a> We&#8217;ll enter the data into a data analysis tool to create a scatterplot then we&#8217;ll use the scatterplot to answer questions about the data.<\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Store Location<\/strong><\/td>\n<td><strong>Average Household Income ($1000s)<\/strong><\/td>\n<td><strong>Number of Organic Vegetables Offered<\/strong><\/td>\n<td><\/td>\n<td><strong>Store Location<\/strong><\/td>\n<td><strong>Average Household Income<\/strong><\/p>\n<p><strong>($1000s)<\/strong><\/td>\n<td><strong>Number of Organic Vegetables Offered<\/strong><\/td>\n<\/tr>\n<tr>\n<td>S. Flores<\/td>\n<td>71<\/td>\n<td>36<\/td>\n<td><\/td>\n<td>Marbach Rd.<\/td>\n<td>49<\/td>\n<td>38<\/td>\n<\/tr>\n<tr>\n<td>N. Rosillo St.<\/td>\n<td>34<\/td>\n<td>4<\/td>\n<td><\/td>\n<td>Babcock Rd.<\/td>\n<td>66<\/td>\n<td>84<\/td>\n<\/tr>\n<tr>\n<td>Nogalitos St.<\/td>\n<td>71<\/td>\n<td>28<\/td>\n<td><\/td>\n<td>Wurzbach Rd.<\/td>\n<td>87<\/td>\n<td>61<\/td>\n<\/tr>\n<tr>\n<td>Fredericksburg Rd.<\/td>\n<td>49<\/td>\n<td>31<\/td>\n<td><\/td>\n<td>W. Loop 1604 N.<\/td>\n<td>78<\/td>\n<td>56<\/td>\n<\/tr>\n<tr>\n<td>Olmos<\/td>\n<td>78<\/td>\n<td>78<\/td>\n<td><\/td>\n<td>Bandera Rd.<\/td>\n<td>59<\/td>\n<td>62<\/td>\n<\/tr>\n<tr>\n<td>N. New Braunfels Ave.<\/td>\n<td>41<\/td>\n<td>14<\/td>\n<td><\/td>\n<td>S. New Braunfels<\/td>\n<td>50<\/td>\n<td>44<\/td>\n<\/tr>\n<tr>\n<td>Castroville<\/td>\n<td>38<\/td>\n<td>12<\/td>\n<td><\/td>\n<td>S.W. Military<\/td>\n<td>48<\/td>\n<td>26<\/td>\n<\/tr>\n<tr>\n<td>Culebra Rd.<\/td>\n<td>50<\/td>\n<td>18<\/td>\n<td><\/td>\n<td>S. Zarzamora<\/td>\n<td>56<\/td>\n<td>29<\/td>\n<\/tr>\n<tr>\n<td>S.E. Military Dr.<\/td>\n<td>50<\/td>\n<td>65<\/td>\n<td><\/td>\n<td>E. Basse Rd.<\/td>\n<td>125<\/td>\n<td>95<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Create a scatterplot of this dataset by following the directions in Question 1.<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 1<\/h3>\n<p>To create a scatterplot of this data, go to the Relationship Between Two Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/Association_Quantitative\/\">https:\/\/dcmathpathways.shinyapps.io\/Association_Quantitative\/<\/a>.<\/p>\n<p>Step 1) Locate the drop-down menu under <strong>Enter Data<\/strong>\u00a0and select <strong>Your Own.<\/strong><\/p>\n<p>Step 2) Select the box titled <strong>Use ID Variable<\/strong>\u00a0and name the ID Variable and the X and Y-Variables appropriately given the three columns in the data table.<\/p>\n<p>Step 3) Complete the data table appropriately. Then select <strong>Submit Data<\/strong> (you may need to scroll down to see it) to create the scatterplot. It should resemble the image of the plot in Question 5 below.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q543882\">Hint<\/span><\/p>\n<div id=\"q543882\" class=\"hidden-answer\" style=\"display: none\">Double check that you entered the data correctly. Your plot should resemble this one, from Question 5.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1380\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/14214938\/Picture191-300x131.png\" alt=\"A scatterplot showing &quot;Average Household Income ($1000s)&quot; on the x-axis and &quot;Number of Organic Vegetables Offered&quot; on the y-axis. There is a circled point at approximately (125, 95).\" width=\"1161\" height=\"507\" \/><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p>Use the scatterplot you created in Question 1 to answer Questions 2\u20135.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 2<\/h3>\n<p>What does each dot represent?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q812324\">Hint<\/span><\/p>\n<div id=\"q812324\" class=\"hidden-answer\" style=\"display: none\">Hover over a dot in the tool to reveal what it represents or consider the (X, Y) coordinate that signifies the location of each dot..<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 3<\/h3>\n<p>What do the horizontal and vertical axes represent?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q106196\">Hint<\/span><\/p>\n<div id=\"q106196\" class=\"hidden-answer\" style=\"display: none\">What did you label them?<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 4<\/h3>\n<p>Which store has a greater number of organic vegetables offered: the store located on Marbach Road or the store located on Babcock Road? Describe how you can tell using the scatterplot.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q814550\">Hint<\/span><\/p>\n<div id=\"q814550\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think?<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 5<\/h3>\n<p>Which store is represented by the circled dot?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1380\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/14214938\/Picture191-300x131.png\" alt=\"A scatterplot showing &quot;Average Household Income ($1000s)&quot; on the x-axis and &quot;Number of Organic Vegetables Offered&quot; on the y-axis. There is a circled point at approximately (125, 95).\" width=\"1161\" height=\"507\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q305309\">Hint<\/span><\/p>\n<div id=\"q305309\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think?<\/div>\n<\/div>\n<\/div>\n<h3>Increasing and Decreasing Trends<\/h3>\n<p>Scatterplots are helpful when we want to determine whether a two quantitative variables appear to be related. Each dot on the scatterplot represents the intersection of the two values for a given ID variable. In the data table above, for example, the ID variable is the neighborhood observed and the two quantitative data items collected where neighborhood income and number of organic vegetables available. Did you hover over a dot in the scatterplot your created to see those three pieces of information displayed?<\/p>\n<p>Did the dots in your scatterplot tend to rise up and to the right of the graph? In other words, did it appear true that the higher the average income of a neighborhood was, the greater the number of organic vegetables were available? Keep that idea in mind as you answer Questions 6 &#8211; 8.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 6<\/h3>\n<p>Do a quick Internet search. What does it mean for a scatterplot to have an increasing trend? A decreasing trend?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q436607\">Hint<\/span><\/p>\n<div id=\"q436607\" class=\"hidden-answer\" style=\"display: none\">Copy and paste the question &#8220;What does it mean for a scatterplot to have an increasing trend? into a browser search bar.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 7<\/h3>\n<p>List one example of an increasing trend and one example of a decreasing trend.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q891333\">Hint<\/span><\/p>\n<div id=\"q891333\" class=\"hidden-answer\" style=\"display: none\">Consider the input first &#8212; something that increases (time, temperature, demand for a product, prices, etc.) &#8212; then think of something else that either increases or decreases related to that input.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 8<\/h3>\n<p>On your paper, sketch a scatterplot showing an increasing trend and another showing a decreasing trend. To answer this question, you can upload a picture of your sketch or describe it.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q690366\">Hint<\/span><\/p>\n<div id=\"q690366\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think?<\/div>\n<\/div>\n<\/div>\n<p>You&#8217;ve learned to use technology to create a scatterplot and use it to understand the relationship between two quantitative variables in a dataset. You&#8217;ve also gained an understanding of increasing and decreasing trends in scatterplots. It&#8217;s time now to move on the the course material in this section.<\/p>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-3816-1\">Income by Zip Code. (2021). https:\/\/www.incomebyzipcode.com\/ <a href=\"#return-footnote-3816-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-3816-2\">HEB. (2021). Shop by Department. https:\/\/www.heb.com <a href=\"#return-footnote-3816-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":428269,"menu_order":2,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3816","chapter","type-chapter","status-publish","hentry"],"part":3807,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3816","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/428269"}],"version-history":[{"count":11,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3816\/revisions"}],"predecessor-version":[{"id":4675,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3816\/revisions\/4675"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/3807"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3816\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=3816"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=3816"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=3816"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=3816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}