Question

I need help with this problem through R Studio. All files required for assignment are provided below along with the description of the assignment: Do four regression analyses using the Anscombe Quartet (1973) Data Analysis Tool in Excel Any Statistical package Summarize the results and compare those using the original data. How would you run reg

Answer 1

In R Studio, perform regression analysis on the Anscombe Quartet by creating scatter plots, calculating the least-squares line, drawing the line on the scatter plot, finding the correlation coefficient, and calculating the average CPI for 1990, as well as comparing regression results and finding quartiles to construct a box plot.

Step-by-step explanation:

To perform regression analyses with the Anscombe Quartet dataset in R Studio, you should follow these steps:

1. Enter the data into R Studio, creating four separate data frames for each group of the Anscombe Quartet.
2. Use the command plot to draw a scatter plot for each dataset.
3. Calculate the least-squares line for each scatter plot using the lm function to fit the linear model. The linear equation will be in the form ý = a + bx.
4. Add the regression line to your scatter plot using the abline function.
5. Compute the correlation coefficient using the cor function to understand the strength and direction of the linear relationship between variables.

The average Consumer Price Index (CPI) for the year 1990 should be calculated using the mean function on the CPI data for that year, assuming it is available within your dataset.

For detailed comparison of regression results with the original data, look at the regression coefficients and correlation coefficients. Use the summary function in R to get a detailed summary of each regression analysis.

When analyzing the data steps like finding the quartiles and constructing a box plot, you can use the summary and boxplot functions in R Studio.