concept 20: scatterplots & correlation · quiz (level 2) schoology quiz: ... write down the...

Concept 20 Scatterplots & Correlation

Concept 20: Scatterplots & Correlation

Level 4 Example Level 3 Example Level 2 Example

Create a Scatterplot from the Data and find the equation for

The line of best fit

Estimate the Cost of 600 ft

Create a Scatterplot from the Data and Draw in a Line of Best Fit

Estimate the Cost of 600 ft

Identify the Correlation of the Scatterplot and

Draw the Line of best fit

(C) Level 2

1. INTRODUCTION: Take Notes & Basic Practice

Mr. Sieling’s Video Alternate Video From Other Source

Videos are on Mr. Sieling’s Website


2. PRACTICE ACTIVITIES: (Complete at least 2)

IXL Practice Worksheet

N13 (8th) All the way to 100

Score = __________

Level 2: Scatterplots & Correlation

Experiment Create

Bouncy Ball Lab A poster with examples of positive, negative and no correlation

3. QUIZ (Level 2)

Schoology Quiz: Level 2 – Scatterplots & Correlation

3. REMEDIATION

Correct Mistakes on Quiz and Do Another Practice Activity

Mr. Sieling’s Signature

Pre-Quiz Score = _____/5

Score 5 = Level 4

Score 3,4 = Level 3

Score 0,1,2 = Level 2

Level 2

Quiz Score:

START DATE: (materials are available)

Assessment Date: (date of 1st assessment on this concept)

DUE DATE: (To stay on pace: should be done by now)

DEADLINE: (on THE LIST if note completed)


(B) Level 3






IXL Worksheet

N6 (all the way to 100)

Score = __________


Experiment Create

Foot Size & Hand Size Lab

An example of creating a scatterplot and drawing the line of best fit

3. QUIZ (Level 3)


4. REMEDIATION



(A) Level 4






IXL Practice Worksheet

N7 (Alg1)

Score = __________


Experiment Create

M&Ms Experiment

3. QUIZ (Level 2)


4. REMEDIATION



Level 3

Quiz Score:

Level 4

Quiz Score:


Notes Level 2:

Goals:

Create a scatterplot from given data

Identify the correlation of a scatterplot

Draw in a line of best fit by hand on a scatterplot

Notes:

Big Ideas Examples/Details

Concept # ________


Level 2 Practice:

1. Draw the scatterplot.

2. Identify the correlation.

Correlation:

3. Draw the line of best fit.

Y-intercept = Slope =

Y =

4. Use the line to answer these questions.

400 Calories = _______________ Fat

___________ Calories = 25 grams of Fat

1. Draw the scatterplot.

2. Identify the correlation.

Correlation:

3. Draw the line of best fit.

Y-intercept = Slope =

Y =

4. Use the line to answer these questions.

(Temp) 5 degrees = _________ Wind Speed

Temp of ________ = 15 mpr (Wind Speed)


Worksheet Level 2:

Goals:

Create a scatterplot from given data

Identify the correlation of a scatterplot

Draw in a line of best fit by hand on a scatterplot

Practice #1

They put the line there because

A. Use the graph to find the following information about the line. (ESTIMATE)

1. Y-intercept = Slope =

y =

2. 175 feet would cost $

Explain:

280 feet would cost $

Explain:

3. $10,000 would be a ft bridge.

Explain:

$60,000 would be a ft bridge.

Explain:

Concept # ________


Practice #2

To make it easier to see, make a scatterplot from the data.

A car has 80,000 miles on it. Estimate what the price should be.

Nate has $20,000 to spend on a car. Estimate how many miles it will have on it.

E. For each scatterplot, classify it as positive, negative or no correlation.

Identify the correlation.

Correlation:

Draw the line of best fit.

Y-intercept =

Slope =

Y =


Experiment Level 2:

Goals:

Create a scatterplot and line of best fit using technology.

Use the line of best fit to make predictions from the data

Bouncy Ball Lab

Equipment: meterstick, bouncy ball

Directions:

1. Hold the meterstick perpendicular to the floor.

2. Choose and record a height on the meterstick to drop the ball from.

3. Drop the ball from your drop height.

4. Record the height of the first bounce.

(You may have to do this a couple times to

feel confident about your measurement.)

5. Fill in your drop height and bounce height on the table below.

6. Repeat steps 2-5 for 5-10 different drop heights.

7. Make a scatterplot of the data you collected.

DATA

Drop

Height

(cm)

Bounce

Height

(cm)

8. y = ______________________________________

Explain what each number and variable represents in the equation:

Concept # ________


9. Variables on the Scatterplot:

Identify the Correlation on the scatterplot:

10. I predict if I drop it from 2 meters the ball will bounce _____ meters high.

Explain/Work:

11. I predict to get a bounce height of 2 meters, I need to drop it from _____ meters.

Explain/Work:

12. I predict if I drop it from 0 meters the ball will bounce _____ meters high.

Where is this shown on the graph?

Where is this shown in the equation?


Notes Level 3:

Goals:



Notes:


Concept # ________


Level 3 Practice:

For your data set:

a) Create a scatterplot (using DESMOS.COM)

b) Identify the correlation

c) Draw in a line of best fit (using DESMOS.COM)

d) Answer the questions and explain how you answered the questions using DESMOS.COM

If the amount of fertilizer was 30 (ml), predict the height of the plant.

If the height of the plant was 20 cm, predict the amount of fertilizer used.

If the depth of the seed in the pot was 20 cm, predict the height of the plant.

If the height of the plant was 15 cm, predict the depth of the seed in the pot.

If the amount of light per day was 12 hours, predict the height of the plant.

If the height of the plant was 20 cm, predict the amount of light per day.

Correlation:

Y = ________________________

Correlation:

Y = ________________________

Correlation:

Y = ________________________


Worksheet Level 3:

Goals:


Identify the correlation of a scatterplot.


Practice #1

d. Use your line of best fit to estimate the following answers:

14 workers = trees

270 trees = workers

e. Use your equation to answer the following questions. SHOW WORK.

14 workers = trees 270 trees = workers

Work: Work:

Concept # ________

a. The centroid is (11, 286).

Plot this point on the graph.

b. Draw a line of best fit for the data.

c. Write an equation for your model.

Slope =

Y – intercept =

Equation =


Practice #2

A. Create a scatterplot using DESMOS.COM.

B. Create a line of best fit.

C. Using the line of best fit predict the following:

i. What will the weight of a 20 week old Chihuahua be?

ii. What will the age of a 50 oz Chihuahua be?

iii. How much will a Chihuahua weight after 144 weeks? Does this seem like a reasonable answer? Explain.

Practice #3

The table below predicts the attendance at an outdoor theme park according to the probability or rain that day.

A. Create a scatterplot using DESMOS.COM.

B. Create a line of best fit.

C. Using the line of best fit predict the following:

i. Attendance with a 50% chance of rain

ii. Probability of rain if 600 people attended the park.

iii. What would the probability of rain have to be to predict a zero attendance? Is this reasonable? Explain.


Experiment Level 3:

Goals:


Identify the correlation of a scatterplot.


Foot & Hand Size Experiment

Shaquille O’Neal is a very large man.

He wears size 20 shoes.

His foot is 41 cm long.

Your goal today is to figure out the size of his hand.

Collect data about 8 classmates foot size an hand size.

Create a scatterplot. (on paper or DESMOS)

Find a line of best fit.

Make a prediction about how big Shaq’s hand it.

1. Do you expect the scatterplot to have a positive, negative, or no correlation? Explain.

2. Collect the data.

Student Name Foot Size (cm) Hand Size (cm) Foot Size / Hand Size

Concept # ________


3. Create your graph on graph paper or DESMOS. Draw in the line of best fit.

4. Write down the linear regression line. (the equation for the line of best fit)

Y =

What is the slope? What is the y-intercept?

6. Use your linear model to predict Shaq’s hand size. Explain.

Shaq’s Hand Size = cm


Notes Level 4:

Goals:

Create scatterplots and identify correlation

Create a line of best fit that may be linear or exponential.

Make predictions from the line of best fit.

Notes:


Concept # ________


Basic Practice:

Create a scatterplot by hand or using DESMOS


Correlation:


Y-intercept =

Slope =

Y =

Create a scatterplot by hand or using DESMOS


Correlation:


Y-intercept =

Slope =

Y =


Worksheet Level 4:

Goals:



Make predictions from the line of best fit

Practice #1

Draw in a line of best fit on each scatterplot. Identify the correlation of each.

Practice #2

Concept # ________

1. Create a scatterplot using DESMOS.COM.

2. Identify the correlation of the scatterplot.

3. Is the pattern linear or exponential?

4. Equation

Y = _______________________________

5. Predict sales in year 2014 (year 20)


Practice #3

Practice #4

Practice #5

Summarize how you can tell whether you need to use a linear model or an exponential model.




4. Equation

Y = _______________________________

5. Predict number of cranes in year 2014 (year 64)




4. Equation

Y = _______________________________

5. Predict melting point of Francium (Atomic # 87)


Experiment Level 4:

Goals:



Make predictions from the line of best fit

M & M Experiment

Materials – 1 cup of M&Ms

A box top with a shaded region

Collect Data

1. Count the number of M&Ms in your cup. This is your starting point. Put this number in your

table at stage 0.

To fill in your table

1. Start with 10 M&Ms in your cup.

2. Pour the M&M’s from your cup into your box lid. 3. Count all the M&M’s in the shaded region. 4. Add that many M&Ms into your cup. 5. This ends stage 1 of the experiment 6. Repeat steps 1-5 until you complete stage 5.

Stage 0 1 2 3 4 5

M&Ms

10

Display Data

1. Make a graph of your data. (on graph paper or DESMOS)

Concept # ________


Analyze Data

1. Write a short description of the pattern on the data table and graph.

2. Find the line of best fit. State whether you used a linear or exponential model.

Y = _________________________

3. Explain how the values in the equation relate to the experiment you have done. What do they tell you about the stages and M&Ms?

4. Use your model to fill out the rest of the table, from stages 6-10.

Stage 6 7 8 9 10

M&Ms

5. At what stage will you reach 100 M&Ms? Explain.

6. If you continue the experiment, predict the number of M&Ms at stage 100. Explain.

concept 20: scatterplots & correlation · quiz (level 2) schoology quiz: ... write down the...

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