ScatterplotCorrelationReview- PDF

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School

North Carolina State University *

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Course

101

Subject

Mathematics

Date

May 26, 2024

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pdf

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5

Uploaded by CommodoreFlagBoar44

ST 101 Topics: explanatory/response, describing sca4erplots, correla5on coefficient (r), causa5on Watch this video and use the informa5on in the video to help you complete this worksheet. Guided Notes Explanatory and response variables Bivariate data: data with two variables. Two quan5ta5ve variables are visualized in a sca4erplot. Income and Food Access Example (H.E.B Grocery Stores) * Zip Code Grocery Store LocaEon Average Household Income Organic Vegetables Offered 78204 South Flores $71,186 36 78207 N. Rosillo st $34,234 4 78204 Nogalitos st $71,186 28 78201 Frederickburg rd $48,760 31 78212 Olmos $78,096 78 78202 New Braunfels $40,506 14 78237 Castroville $38,166 12 78228 Culebra rd $50,398 18 78227 Marbach rd $49,437 38 78240 Babcock rd $66,073 84 78230 Wurzbach rd $86,566 61 78251 W Loop 1604 N $78,176 56 78238 Bandera rd $59,154 62 78223 S.New Braunfels $50,252 44 78221 SW Military $48,364 26 78224 S Zarzamora $56,274 29 78220 W.W. White rd $41,318 15 78209 East basse rd $125,145 95 78216 San pedro $65,911 18 78223 S.E Military dr $50,252 65 78218 Aus5in hwy $53,945 50 78213 West Avenue $59,072 35 78227 Valley Hi dr $49,437 36 78244 Foster dr $72,080 28 78231 N.W Military $108,486 95 78239 Montogomery $70,530 46 Material adapted from the Skew The Script curriculum (skewthescript.org)
2 Using this data from San Antonio, TX, we will explore whether there is a rela5onship between neighborhood income and access to organic items at local grocery stores. Explanatory (independent) variable: the variable that predicts, explains, or influences a trend in the response variable. This variable is plo4ed on the X axis. Response (dependent) variable: the measured outcome. Responds to trends in the explanatory variable. This variable is plo4ed on the y axis. 1) In this example, which variable is the explanatory variable? Why? - House hold income average and zip code, X means eXplanatory 2) In this example, which variable is the response variable? Why? - Response is the organic vegetables offered which is your y variable in this cases. *Dataset compiled by student Linda Saucedo, Fall 2019 Describing sca@erplots 78217 Perrinbeiter rd $57,199 29 78251 FM 471 west $78,176 73 78250 Guilbeau rd $78,288 53 78230 De Zavala $86,566 86 78247 Thousand oaks $84,181 68 78247 O’Connor rd $84,181 56 78251 Potranco rd $78,176 85 78247 Bulverde rd $84,181 86 78248 NW Loop 1604 $135,547 93 78232 18140 San Pedro $92,946 82 78249 9238 Loop 1004 $77,894 96 Material adapted by HS Lee from the Skew The Script curriculum (skewthescript.org) Graphic inspired by mathisfun.com
3 3) Describe what it means for a correla5on to be posiEve . Describe what it means for a correla5on to be negaEve . Posi5ve- as the x values increase, the y values also increase Nega5ve- as the x value increases the y value decreases 4) Sketch a line of best fit on each of the plots above. Then, describe the difference between strong and weak correla5ons in rela5onship to where a line of best fit is located among the data points. LSRL- a strait line that puts about half of your data above It and half below it Strong- data is close to the LSRL Weak- data is far from LSRL 5) Put it all together: Describe the rela5onship between average household income in a zip code and the number of organic vegetables offered at the local grocery store. - the relaEonship between average household income and the number of organic vegetables offered at local stores appear to be linear, posiEve, and moderately strong. There do not appear to be any outliers. Context: organic veggies and average income DirecEon- posiEve Outliers- none Material adapted by HS Lee from the Skew The Script curriculum (skewthescript.org) C – Context D – DirecEon (posiEve/negaEve) O – Outliers F – Form (linear/non-linear) S – Strength (strong/moderate/weak)
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