Question
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.
Hint:
Scatter plot is a graphical representation of data using a set of coordinate points. If one variable increases and the other decreases, they are inversely proportional and have a negative slope.
We are asked to graph the scatter plot of the given data and check whether y increases or decreases as x increases.
The correct answer is: If the two variables increase and decrease together, then they are directly proportional and have a positive slope.
Step 1 of 2:
The coordinate points corresponding to the given table are:
(0.1,10),(0.3,8),(0.5,8),(0.9,6),(1.0,7),(1.1,7),(1.2,7),(1.6,6),(1.8,4),(2.0,3),(2.5,1)
Step 2 of 2:
The scatter plot based on the coordinate points is:
From the graph, it is clear that the values of y decreases as x increases.
If the two variables increase and decrease together, then they are directly proportional and have a positive slope.
Related Questions to study
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.