Unit 8 Bivariate Data/ Scatterplots
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1 Unit 8 Bivariate Data/ Scatterplots Oct 20 9:19 PM Scatterplots are used to determine if there is a relationship between two variables. /Correlation /Correlation /Correlation Line of best fit cuts the data in half and represents an estimated slope of the line. Feb 2 9:15 PM 1
2 Oct 20 9:19 PM Draw a line of fit for the scatterplots. Use the line of best fit in the Calories Burned During Exercise scatterplot to predict how many calories you would burn during a one hour exercise. Use the line of best fit in the Weight Lifting scatterplot to predict how many pounds a person could lift if she completed 4 repetitions. Oct 20 9:19 PM 2
3 1. Draw a scatterplot using the data in table. 2. Determine the type of relationship: positive, negative, or no correlation. 3. Draw a Line of Best Fit then predict how many miles per gallon a car with an engine size of 4.5 will get. Feb 2 9:29 PM Assignment: Glencoe 9.9 p. 512 # 3,5, 6 10,12,13, need graph paper Nov 12 7:33 PM 3
4 More Bivariate Data/ Scatterplots Dec 1 10:40 PM A bivariate data set consists of observations on two variables. For example, you might collect data on 13 different car models. Each observation would consist of an (x,y) pair. The table shows the weight and fuel efficiency for 13 car models with automatic transmissions manufactured by Chevy. Dec 1 10:40 PM 4
5 In the table above, which column would represent x and which column would represent y? Dec 1 10:40 PM How would we create a scatterplot using this data? What would the intervals be for x? What would the intervals be for y? Dec 1 10:40 PM 5
6 Label and list the intervals for x and y. Add the points to the scatterplot. Determine the relationship. What does this say about the relationship between the weight and the fuel efficiency? Dec 1 10:40 PM Label and list the intervals for x and y. Add the points to the scatterplot. Determine the relationship. What does this say about the relationship between the weight and the fuel efficiency? Dec 1 10:40 PM 6
7 Label and list the intervals for x and y. Add the points to the scatterplot. Determine the relationship. What does this say about the relationship between the weight and the fuel efficiency? Dec 1 10:40 PM Assignment: Engage NY 6.6 S Nov 12 7:33 PM 7
8 Patterns in Bivariate Data/Scatterplots Nov 5 1:07 PM In the previous lesson, you learned that when data is collected for two variables, a good place to figure out the data is by creating a scatterplot. Now we are going to focus on the patterns or relationships between the two variables. Feb 2 10:04 PM 8
9 Can you draw a line of best fit on the scatterplot? linear or nonlinear Is the a positive linear relationship/correlation, negative linear relationship/correlation, or no relationship/correlation? Can we make a statement about the relationship between x and y? Feb 2 10:06 PM Can you draw a line of best fit on the scatterplot? linear or nonlinear Is the a positive linear relationship/correlation, negative linear relationship/correlation, or no relationship/correlation? Can we make a statement about the relationship between x and y? Feb 2 10:06 PM 9
10 Lobsters Can you draw a line of best fit on the scatterplot? Is the a positive linear relationship/correlation, negative linear relationship/correlation, or no relationship/correlation? Can we make a statement about the relationship between x and y? Feb 2 10:06 PM Crocodiles Cluster: groups of points Can you draw a line of best fit on the scatterplot? Outliers: does not fit Is the a positive linear relationship/correlation, negative linear the general pattern relationship/correlation, or no relationship/correlation? Can we make a statement about the relationship between x and y? Feb 2 10:06 PM 10
11 Rocky Mountain Elk Can you draw a line of best fit on the scatterplot? Is the a positive linear relationship/correlation, negative linear relationship/correlation, or no relationship/correlation? Can we make a statement about the relationship between x and y? Cluster: groups of points Outliers: does not fit the general pattern Feb 2 10:06 PM Assignment: Engage NY 6.7 S Quiz 8.1 on Tuesday Nov 12 7:33 PM 11
12 Line of Best Fit in Scatterplots Nov 4 10:27 PM Here is a table indicating the size and sales price of house in Milwaukee. Do you notice a relationship between the size of the house and the price? Feb 2 10:31 PM 12
13 Here is is a scatter table indicating plot indicating the size the and size sales and sales price price of house of house in in Milwaukee. Do Do you you notice a relationship between the the size of of the the house and the the price? Which is easier/quicker and easier to use? Why? Feb 2 10:32 PM Question 1 Question 2 draw a line of best fit examples Question 3 Feb 5 4:48 PM 13
14 Scatterplot 1. What can you tell about the price of large homes compared to the price of small homes from the table? Feb 5 4:52 PM Scatterplot 2. a) Does the plot seem to support the statement that larger houses tend to cost more? Explain your thinking. b) What is the cost of the most expensive house and where is that point on the scatterplot? c) Some people might consider a given amount of money and then predict what size house they could buy. Others might consider what size house they want and then predict how much it would cost. How could you use the scatterplot to help you predict these factors? Feb 5 4:52 PM 14
15 Scatterplot 3. Use the best line of fit to predict the price of a 3,000 square foot house. Use the best line of fit to predict the price of a 1,500 square foot house. Feb 5 4:52 PM Deep Water complete the copied page in your group, when you finish, I'll check your answers Feb 5 4:52 PM 15
16 Complete copied page: Exercises 7 9 in your group. When your group finishes, raise your hand and I will check it. Feb 2 10:42 PM Assignment: Engage NY 6.8 S Nov 12 7:33 PM 16
17 Determine the Equation of Line of Best Fit Nov 6 4:38 PM Crocodiles and Alligators Scientists are interested in finding out how different species adpat to finding food sources. One group studied crocodiles to find hout how their bite force was related to body mass and diet. The table below displays the info they collected on body mass and bite force. Feb 5 5:35 PM 17
18 Crocodiles and Alligators What is the relationship between body mass and bite force? Feb 5 5:35 PM Which line of fit would be the BEST for making predictions? Explain your reasoning. Is it important that we find the line of BEST fit? Why? Feb 5 5:43 PM 18
19 In today's lesson, you will be writing equations for the line of best fit. In your groups, discuss how we can write an equation for this line of best fit. Feb 5 5:45 PM The scatter plot shows the age and price of used Honda Civic cars that were advertised in a local newspaper. a) What is the relationship between the price and age of the cars? b) Where would we draw the line of best fit? c) How do we determine the equation for the line of best fit? Feb 5 5:51 PM 19
20 Assignment: Engage NY 6.9 S Nov 12 7:33 PM Two Way Tables Nov 4 10:28 PM 20
21 Two Way Tables Feb 5 6:05 PM Two Way Tables A two way table is similar to a Venn diagram. A two way table shows data that pertains to two different categories or variables. How can we make a two way table of the data from the Venn diagram? Plays a sport Does not play a sport Takes a foreign Language Does not take a foreign language Feb 5 6:05 PM 21
22 It's Your Turn: Feb 5 6:05 PM or Percentages To find the relative frequencies or percentages by row, write the ratios of each value. Round to the nearest tenth if necessary. What is the relative frequency or percentage of students that take a foreign language and play sports to all students taking a foreign language? Feb 5 6:10 PM 22
23 What is the relative frequency or percentage of students that neither play a sport nor take a foreign language to all students that do not play a sport? Feb 5 6:23 PM Feb 5 6:20 PM 23
24 Assignment: Glencoe copied page 1 10 Nov 12 7:33 PM More Two Way Tables Nov 4 10:28 PM 24
25 What are the different ways we wrote: Relative Frequency Feb 5 6:31 PM Organize the data into a Two Way Table. Feb 5 6:31 PM 25
26 copy the table in your notebook Feb 5 6:31 PM Now find the relative frequency/proportion for each column and row or cell relative frequency. What relative frequency/proportion of the students that prefer chocolate ice cream? Write a sentence explaining the meaning of this proportion in context of this problem. What is the relative frequency/proportion of female prefer vanilla ice cream? What is the percentage? What relative frequency/proportion of male students prefer strawberry ice cream? What is the percentage? What relative frequency/proportion of female students prefers strawberry ice cream? What is the percentage? Feb 5 7:25 PM 26
27 Suppose your are interested in the proportion of male students that prefer chocolate ice cream. How is this value different from the proportion of students that are male and prefer chocolate ice cream? Discuss this with your group. What relative frequency/proportion of students prefer ice cream is female? What is the percentage? What relative frequency/proportion of students are female students and prefer chocolate ice cream? What is the relative frequency? What is the percentage? What relative frequency/proportion of students are male and prefer chocolate ice cream? What is the relative frequency? What is the percentage? Feb 5 6:41 PM Assignment: Engage NY 6.13 S Nov 12 7:33 PM 27
28 Unit 8 Review Nov 4 10:25 PM 28
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