43.6k views
3 votes
When Joe has worked out the density of each piece of rock, what can he do with his results to find out if there is a relationship?

A) Create a scatterplot to visualize the data.
B) Perform a correlation analysis to measure the strength of the relationship.
C) Conduct a regression analysis to determine if there is a significant linear relationship.
D) All of the above.

User SowlM
by
7.9k points

1 Answer

4 votes

Final answer:

Joe can create a scatterplot, perform correlation analysis, and conduct regression analysis including calculating the least-squares line and correlation coefficient to understand the relationship between rock sample densities.

Step-by-step explanation:

When Joe has worked out the density of each piece of rock, to find out if there is a relationship between the rock samples and their density, he can do all of the following:

  • Create a scatterplot to visualize the data, deciding which variable should be the independent variable and which should be the dependent variable.
  • Perform a correlation analysis to measure the strength and significance of the relationship.
  • Conduct a regression analysis to determine if there is a significant linear relationship, which includes calculating the least-squares line and putting the equation in the form ý = a + bx.

The correlation coefficient resulting from the correlation analysis will indicate the degree to which the variables are linearly related. Furthermore, by creating a scatterplot and drawing the least-squares line, he can visually inspect the data for a linear relationship. These statistical methods will help Joe understand the nature of the relationship between density and the characteristics of the rock samples.

User Abdullah Mallik
by
7.8k points

No related questions found