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.