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Note: this analysis was performed using the open source software R and Rstudio.

Objective

The objective of this tutorial is to explain how bivariate analysis works.This analysis can be used by marketers to make decisions about their pricing strategies, advertising strategies, and promotion stratgies among others.

Bivariate analysis is one of the simplest forms of statistical analysis. It is generally used to find out if there is a relationship between two sets of values (or two variables). That said, it usually involves the variables X and Y (statisticshowto.com).

Dataset - We will be using two online datasets available in R for this tutorial

plot(y3 ~ x2, data = anscombe, pch = 16)
abline(lm(y3 ~ x3, anscombe), col = "grey20")

Question 1:is there a relationship between x and y? If so, what does the relationship look like?

Answer

Yes, there is a positive relationship between x and y. As x increases, y generally increases. The relationship looks mostly linear, but there is one clear outlier that does not follow the overall pattern.

library(readr)
library(readr)
ad_sales <- read_csv('https://raw.githubusercontent.com/utjimmyx/regression/master/advertising.csv')
## New names:
## Rows: 200 Columns: 6
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," dbl
## (6): ...1, X1, TV, radio, newspaper, sales
## ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
## Specify the column types or set `show_col_types = FALSE` to quiet this message.
## • `` -> `...1`
plot(sales ~ TV, data = ad_sales)

Question 2:Is there a relationship between TV advertising and Sales? If so, what does the relationship look like?

Answer

Yes, there is a positive relationship between TV advertising and sales. As TV advertising increases, sales also tend to increase. The graph shows a clear upward trend, although the points are not perfectly linear.

Question 3:Can you plot the relationship between radio advertising and Sales? If so, what does the relationship look like?

plot(sales ~ radio, data = ad_sales)

###Answer Yes, there is a positive relationship. As radio advertising increases, sales generally increase.

Question 4: Explain one of the functions you learned in your own words.

Answer

One function I learned was the plot function in R. It is used to create a graph that helps show the relationship between two variables.

References

Bivariate Analysis Definition & Example https://www.statisticshowto.com/bivariate-analysis/#:~:text=Bivariate%20analysis%20means%20the%20analysis,the%20variables%20X%20and%20Y.

https://www.sciencedirect.com/topics/mathematics/bivariate-data