1) scatterplots – a graph that shows the relationship between two sets of data. to make a...
TRANSCRIPT
SCATTERPLOTS
CRITICAL VOCABULARY
1) Scatterplots – a graph that shows the relationship between two sets of data. To make a scatterplot, graph the data as ordered pairs.
CRITICAL VOCABULARY
2) Positive Association (correlation) – as one set of values increases, the other set of data tends to increase.
CRITICAL VOCABULARY
3) Negative Association (correlation) – as one set of values increases, the other set of date tends to decrease.
CRITICAL VOCABULARY
4) No Association (correlation) – the values show no relationship.
CRITICAL VOCABULARY
5) Nonlinear Association – the ordered pairs are related, but do not resemble a straight line.
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Nonlinear Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Positive Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
No Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Negative Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
No Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Positive Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Nonlinear Association
POSITIVE, NEGATIVE, NO ASSOCIATION OR NON LINEAR ASSOCIATION
Negative Association
CRITICAL VOCABULARY6) Outliers – are data points with values that are significantly different from the other data points in the set.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is a positive linear association shown in the graph.
Describe the relationship shown.
As the daily temperature to increases, the number of visitors to the beach tends to increase also.
What does the point (88, 450) represent?At a temperature of 88°, there would be about 450 visitors at the beach.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is a negative linear association shown in the graph.
Describe the relationship shown.
As the age of cars increases, the value of the car tends to decrease.
What does the point (10, 6) represent?A car that is 10 years old has a value of $6,000.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is no association shown in the graph. The points appear to re random and scattered.
Describe the relationship shown.
The is no relationship between shoe sizes and colors in the rainbow.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is a negative linear association shown in the graph.
Describe the relationship shown.
As a person’s self esteem decreases, usually depression tends to increase.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is a no linear association shown in the graph.
Describe the relationship shown.
There is no relationship between shoe size and IQ.
DESCRIBING SCATTERPLOT ASSOCIATIONS
Is there a relationship shown in the graph?
Yes. There is a negative linear association shown in the graph.
Describe the relationship shown.As a person’s years of experience goes up, their income also tends to increase.
What does the point (40, 78) represent?At 40 years, a person’s income would be at $78,000.
CRITICAL VOCABULARY7) Line of Best Fit (Trend Line) – are used if there is a linear association. They show the general trend of the data. There is usually no line that will fit every data point exactly, but the line should be as close to as many of the points on the scatterplot as possible.
CRITICAL VOCABULARY7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots.
What could be the amount of money at a temperature of 21°?
CRITICAL VOCABULARY7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots.
What could be the score on the Bar Exam if someone studies for 2 days?
A person would likely score around an 8 on their Bar Exam if they only study for two days.
APPROPRIATE LINES OF BEST FIT (TREND LINES)
Does the trend line on the right show an appropriate trend line for the graph?
No. This is not a good trend line because it is only close to the top points.
APPROPRIATE LINES OF BEST FIT (TREND LINES)
Does the trend line on the right show an appropriate trend line for the graph?
No. This is not a good trend line because it is not going through all of the points on the graph.
APPROPRIATE LINES OF BEST FIT (TREND LINES)
Does the trend line on the right show an appropriate trend line for the graph?
Yes. This is a good trend line because it is going through all of the points and is close to all of the points.
APPROPRIATE LINES OF BEST FIT (TREND LINES)
Does the trend line on the right show an appropriate trend line for the graph?
No. This is not a good trend line because it is only close to the bottom points.
APPROPRIATE LINES OF BEST FIT (TREND LINES)
A is not a good line because it is closer to the top of all of the points.
B is not a good line because it is not going through all of the points.
C is a good line because it is going through all the points and is close to many of the points.
D is not a good line because it is closer to the bottom of all of the points.
CRITICAL VOCABULARYHow much might a person’s salary be if they are employed for 6 years at Company Z?
CRITICAL VOCABULARY7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots.
Suppose that someone listed a car for sale that is 4 years old. Make a prediction about the selling price.
Step 1 – Draw a line of best fit to show the general fit of the line.
Step 2 – Use the line to predict the selling price for a 4-year old car.