Question

# Consider this simple bivariate data set. Draw a scatter plot for the data.

a)Describe the correlation between x and y as positive or negative .

b)Describe the correlation between x and y as strong or weak.

c)Identify any outliers.

Hint:

### An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.

We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

## The correct answer is: We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

### Step 1 of 4:

The coordinate points are:

(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6)

The scatter plot corresponding to coordinate points is:

Step 2 of 4: The trend line corresponding to the graph is:

Here, the trend line is downward which means a negative slope. Thus, the correlation is negative.

Step 3 of 4:

Most of the points are clustered around the trend line. Hence, the correlation among x and y are strong.

Step 4 of 4:

There is only one outlier in the graph. The outlier in the graph is located at (6, 0.9).

Note:

There can be numerous outliers in a single scatter plot itself. It describes the abnormal behavior of the graph. A trend line is used to analyze the pattern of a scatter plot.

### Related Questions to study

### Consider this simple bivariate data set

a) Draw a scatter plot for the data

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

### Consider this simple bivariate data set

a) Draw a scatter plot for the data

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

### At what percent of simple interest will the sum of money amount to 5/3 of itself in 6 years 8 months?

### At what percent of simple interest will the sum of money amount to 5/3 of itself in 6 years 8 months?

### Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

### Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

### For each of the following sets of bivariate data with variables x and y:

Draw a scatter plot by hand. Decide whether y generally increases or decreases as x increases.

If the two variables increase and decrease together, then they are directly proportional and have a positive slope.

### For each of the following sets of bivariate data with variables x and y:

Draw a scatter plot by hand. Decide whether y generally increases or decreases as x increases.

If the two variables increase and decrease together, then they are directly proportional and have a positive slope.

### For each of the following sets of bivariate data with variables x and y:

Draw a scatter plot by hand. Decide whether y generally increases or decreases as x increases.

### For each of the following sets of bivariate data with variables x and y:

Draw a scatter plot by hand. Decide whether y generally increases or decreases as x increases.

### Explain why the drawn line of best fit is accurate or why not.

This scatter plot shows the amount copper in water in ppm versus plant growth in cm over three months.

### Explain why the drawn line of best fit is accurate or why not.

This scatter plot shows the amount copper in water in ppm versus plant growth in cm over three months.

### Show the conjecture is false by finding a counterexample. If AB ≅ BC, then point B is the midpoint of AB.

### Show the conjecture is false by finding a counterexample. If AB ≅ BC, then point B is the midpoint of AB.

### Construct a scatter plot for the following data set using appropriate scale for both the X and Y axis.

This table shows the age of students and their scores on the MAP test.

We usually take the independent variable on the x- axis and the dependent variable on the y-axis. A graph could be drawn in different ways using different scales and intervals.

### Construct a scatter plot for the following data set using appropriate scale for both the X and Y axis.

This table shows the age of students and their scores on the MAP test.

We usually take the independent variable on the x- axis and the dependent variable on the y-axis. A graph could be drawn in different ways using different scales and intervals.

### Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

### Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

### Use the given data to answer the questions and construct the scatter plots

Car Speed (in mph) vs. Gas Mileage (in mpg)

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) Construct the scatter plot.

### Use the given data to answer the questions and construct the scatter plots

Car Speed (in mph) vs. Gas Mileage (in mpg)

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) Construct the scatter plot.

### If the sum of money becomes Rs. 3540 in 3 years at the simple interest rate of 6%, what was the sum of money?

### If the sum of money becomes Rs. 3540 in 3 years at the simple interest rate of 6%, what was the sum of money?

### Show the conjecture is false by finding a counterexample. If a + b = 0, then a = b = 0.

### Show the conjecture is false by finding a counterexample. If a + b = 0, then a = b = 0.

### Use the given data to answer the questions and construct the scatter plots

Age vs. Number of Baby Teeth

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) Should you use a broken axis? Why or why not?

c) Construct the scatter plot.

### Use the given data to answer the questions and construct the scatter plots

Age vs. Number of Baby Teeth

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) Should you use a broken axis? Why or why not?

c) Construct the scatter plot.

### Use the given data to answer the questions and construct the scatter plots.

Age vs. Weekly Allowance

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) What scale and interval should you use for the y-axis?

c) Construct the scatter plot.

### Use the given data to answer the questions and construct the scatter plots.

Age vs. Weekly Allowance

a) Which variable should be the independent variable (x-axis) and which should be the dependent variable (y-axis)?

b) What scale and interval should you use for the y-axis?

c) Construct the scatter plot.

a) How many students were surveyed?

b) How many people support school uniforms?

c) As a percent to the nearest hundredth, What is the relative frequency of students who support school uniforms?

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value.

a) How many students were surveyed?

b) How many people support school uniforms?

c) As a percent to the nearest hundredth, What is the relative frequency of students who support school uniforms?

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value.