10.1 part 1 assignment
Which of the following statements about correlation is true? first thing that should be done?
Make a scatterplot.
If we find that there is a linear correlation between the concentration of carbon dioxide in our atmosphere and the global temperature, does that indicate that changes in the concentration of carbon dioxide cause changes in the global temperature?
No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable.
Construct a scatter diagram using the data table to the right. This data is from a study comparing the amount of tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale and use carbon monoxide (CO) for the vertical scale. Determine whether there appears to be a relationship between cigarette tar and CO.
part a- the graph that goes up to the right part b-Yes, as the amount of tar increases the amount of carbon monoxide also increases.
The table provided below shows paired data for the heights of a certain country's presidents and their main opponents in the election campaign. Construct a scatterplot. Does there appear to be a correlation?
part a: the graph that is really scattered part b:No, there does not appear to be a correlation because there is no general pattern to the data.
A _______ is a plot of paired data (x,y) and is helpful in determining whether there is a relationship between the two variables.
scatterplot
When determining whether there is a correlation between two variables, one should use a ____________ to explore the data visually.
scatterplot
For the graph to the right, indicate if a correlation exists between the quantities on the horizontal and vertical axis. If so, indicate if the correlation is a strong positive correlation, a strong negative correlation, a weak positive correlation, a weak negative correlation, or no correlation.
strong positive correlation
What is a scatterplot and how does it help us?
A scatterplot is a graph of paired (x, y) quantitative data. It provides a visual image of the data plotted as points, which helps show any patterns in the data.
Which of the following scatterplots indicates a strong negative linear relationship between X and Y?
The graph below indicates a strong negative linear relationship between X and Y since the points are tightly packed and Y tends to decrease as X increases. Y the graph that has less dots and looks neat
Which of the following statements best describes this scatterplot? the one that goes up in twos
There are two clusters of points. The relationship between X and Y for each cluster is strong and positive.
Which of the following statements best describes this scatterplot?
There is a negative, moderately strong relationship between X and Y with one outlier.
Which of the following statements best describes this scatterplot? the one that goes up in a arch
There is a non-linear relationship between X and Y with two outliers.
Which of the following statements about correlation is true?
We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values increase.
A __________ exists between two variables when the values of one variable are somehow associated with the values of the other variable.
correlation
For the graph to the right, indicate if a correlation exists between the quantities on the horizontal and vertical axis. If so, indicate if the correlation is a strong positive correlation, a strong negative correlation, a weak positive correlation, a weak negative correlation, or no correlation.
no correlation
The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?
part a- the graph that goes down the right part b-Yes, as the weight increases the highway mileage decreases.