1. Complete the 2 way table and answer the questions showing all work.
A swim club has 112 members. Fifty-seven of these members are boys. Thirty of the members are girls who are under the age of 18 and 35 of the members are boys who are over the age of 18.
Complete the table:
Under 18
18 or older
Total
Boys
Girls
Total
How many members of the swim club are girls 18 or older?
What is the relative frequency of members who are girls
and 18 or older?
2. Match the graph with the Scenario and with the
table.
Graph
Scenario
G
H
I
J
Scenario 1: Tom went for a walk with friends. He realized he forgot his wallet. He ran home and then had to run to catch up with the others.
Scenario 2: Tom ran from his home to the bus stop and waited. He realized he had missed the bus, so he walked home.
Scenario 3: This graph is just plain wrong! How can Tom be in 2 places at the same time?
Scenario 4: Tom was at a school event. When it was over, he walked steadily home.
Linear Regression Model Portfolio
Scatter Plot Data
Step 1
Work with a partner and a timer (phone timer) to take measurements and test your conjecture. One of you will be the timer and the other will count their own number of heartbeats per period of time.
Step 2
Is there a relationship between the two quantities? Do you think that the number of heartbeats is proportional to the number of seconds?
Show the heartbeats/seconds for each # of seconds to see if it is consistent for you and for you and your partner.
How many times would you expect your heart to beat in 25 seconds? ____________ 60 seconds? _____________ 120 seconds? ___________
Show your work here:
Step 3
Plot the points that you found in the table on the graph below making a scatter plot of the 3 points for you…and one scatter plot for your partner.
Step 4
Draw a line of best fit for your heart rate scatter plot using a ruler.
Draw a line of best fit for your partner’s heart rate scatter plot using a ruler.
Is there a correlation or pattern (as one increases, the other increases; or as one increases, the other decreases)? _________________
Is it a positive correlation or a negative correlation? __________________
Is it a strong correlation or a weak correlation? ___________________
Step 5
Write the equation of the line of best fit for your heart rate.
Y = mx + b Where m is the slope = rise/run and b is the y-intercept.
y = ______ x + _______
1. Complete the 2 way table and answer the questions showing all work.
Under 18 18 or older Total Boys 57 35 92 Girls 30 ? ? Total 87 ? 112
To complete the table, we need to fill in the missing values.
To find the number of girls 18 or older, we can subtract the number of boys 18 or older from the total number of members who are 18 or older.
Total number of members who are 18 or older = 112 - 57 = 55
So, the number of girls 18 or older is 55 - 35 = 20.
To find the total number of girls, we can subtract the number of boys from the total number of members.
Total number of girls = 112 - 57 = 55
So, the total number of girls is 55 - 20 = 35.
Now, we can complete the table:
Under 18 18 or older Total Boys 57 35 92 Girls 30 20 50 Total 87 55 112
The table is now complete.
How many members of the swim club are girls 18 or older?
There are 20 members of the swim club who are girls 18 or older.
What is the relative frequency of members who are girls and 18 or older?
Relative frequency = (Number of girls 18 or older) / (Total number of members)
Relative frequency = 20 / 112 ≈ 0.1786
The relative frequency of members who are girls and 18 or older is approximately 0.1786.
2. Match the graph with the Scenario and with the table.
Graph Scenario G Scenario 4 H Scenario 2 I Scenario 1 J Scenario 3
Scenario 1: Tom went for a walk with friends. He realized he forgot his wallet. He ran home and then had to run to catch up with the others. (Matched with Graph H)
Scenario 2: Tom ran from his home to the bus stop and waited. He realized he had missed the bus, so he walked home. (Matched with Graph I)
Scenario 3: This graph is just plain wrong! How can Tom be in 2 places at the same time? (Matched with Graph J)
Scenario 4: Tom was at a school event. When it was over, he walked steadily home. (Matched with Graph G)
Linear Regression Model Portfolio Scatter Plot Data Step 1 Work with a partner and a timer (phone timer) to take measurements and test your conjecture. One of you will be the timer and the other will count their own number of heartbeats per period of time. Step 2 Is there a relationship between the two quantities? Do you think that the number of heartbeats is proportional to the number of seconds? Show the heartbeats/seconds for each # of seconds to see if it is consistent for you and for you and your partner. How many times would you expect your heart to beat in 25 seconds? ____________ 60 seconds? _____________ 120 seconds? ___________ Show your work here: Step 3 Plot the points that you found in the table on the graph below making a scatter plot of the 3 points for you...and one scatter plot for your partner. Step 4 Draw a line of best fit for your heart rate scatter plot using a ruler. Draw a line of best fit for your partner’s heart rate scatter plot using a ruler. Is there a correlation or pattern (as one increases, the other increases; or as one increases, the other decreases)? _________________ Is it a positive correlation or a negative correlation? __________________ Is it a strong correlation or a weak correlation? ___________________ Step 5 Write the equation of the line of best fit for your heart rate. Y = mx + b Where m is the slope = rise/run and b is the y-intercept. y = ______ x + _______
Unfortunately, the information for Steps 2, 3, 4, and 5 is missing. Please provide the required information or clarify the instructions for those steps.
1. To complete the 2 way table, we need to calculate the number of girls in each age group and the total members.
Given information:
Total members = 112
Number of boys = 57
Number of girls under 18 = 30
Number of boys over 18 = 35
To find the number of girls, we can subtract the number of boys from the total number of members:
Number of girls = Total members - Number of boys
Number of girls = 112 - 57
Number of girls = 55
Now we can complete the table:
Under 18 18 or older Total
Boys 57 35 92
Girls 30 0 30
Total 87 35 122
Answering the questions:
How many members of the swim club are girls 18 or older?
The number of girls 18 or older is 0.
What is the relative frequency of members who are girls and 18 or older?
To find the relative frequency, we can divide the number of girls 18 or older by the total number of members:
Relative frequency = (Number of girls 18 or older) / (Total members)
Relative frequency = 0 / 112
Relative frequency = 0
2. To match the graph with the scenarios and table, we need to analyze each scenario and find the matching graph.
Scenario 1: Tom went for a walk with friends. He realized he forgot his wallet. He ran home and then had to run to catch up with the others.
Matching graph: H
Scenario 2: Tom ran from his home to the bus stop and waited. He realized he had missed the bus, so he walked home.
Matching graph: I
Scenario 3: This graph is just plain wrong! How can Tom be in 2 places at the same time?
Matching graph: J
Scenario 4: Tom was at a school event. When it was over, he walked steadily home.
Matching graph: G
We don't have any information about a table in the given text, so we cannot match a graph with a table.
3. In Step 2, it is mentioned to show the heartbeats/seconds for each number of seconds to see if it is consistent for you and your partner. The specific numbers are not provided in the given text.
To calculate the expected number of heartbeats, we need information about the individual's heart rate. Without this information, we cannot provide the expected values for heartbeats in 25 seconds, 60 seconds, and 120 seconds.
Additionally, the text mentions Step 3, Step 4, and Step 5, which require specific data and calculations to draw a scatter plot, lines of best fit, and the equation of the line of best fit. However, these steps are not given in the provided text.