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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?

yes since the points plotted seem to be close to the line and the relationship is positive

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?

Yes, there is a strong positive linear relationship between TV advertising and Sales, meaning that as TV advertising spending increases, Sales also increase

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

###The plot shows a positive relationship between radio advertising and Sales, but it is weaker and more scattered compared to TV advertising.

###Question 4:Three things you learned from this tutorial ###I learned how to perform bivariate analysis in R to examine the relationship between two variables. I learned how to create scatterplots and add regression lines to visually interpret relationships between advertising and sales.I learned how to interpret correlation coefficients, p-values, and R-squared values to determine the strength and significance of relationships.

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