Introduction
In this exploration, I will be looking at the correlation between the budget of a movie and the gross of the same movie, which refers to the amount of money made by the movie. I will analyse in detail the relation between both aspects of the movie and check if my conjecture is true.
I chose to do this for my mathematical exploration because I am interested in the field of films and am an avid movie-goer. I like to keep up with the latest movies, that is, be up to date about the successful movies that are of high popularity and watch them in my free time. I tend to make my decisions on how good a movie is based on how much money the movie generates, because the more money generated by the movie, it is more likely that more people …show more content…
I carried out a linear regression t-test using my GDC.
The linear regression t-test is used to test if there is a significant linear relationship between an independent variable and a dependent variable. Therefore I will be making use of this test to see if there is a significant linear relationship between the budget and the gross of a movie budget.
Below is the linear regression t-test that I carried out.
LINEAR REGRESSION T-TEST
To carry out a linear regression t-test, I will need to come up with two hypotheses. Firstly, the null hypothesis, which is a default statement that would be accepted if there is no significant evidence against it. Secondly, the alternative hypothesis which is a statement opposite that of the null hypothesis . What I will be doing in this linear regression t –test is to prove that there is sufficient evidence to reject the null hypothesis, and this would be through finding the p-value and ensuring it does not exceed the significance level set by myself. The two statements can be seen below.
H0 : p = 0
H1 : p ≠ 0
Next, I will need to calculate the test statistic, t, which has the
In this exploration, I will be looking at the correlation between the budget of a movie and the gross of the same movie, which refers to the amount of money made by the movie. I will analyse in detail the relation between both aspects of the movie and check if my conjecture is true.
I chose to do this for my mathematical exploration because I am interested in the field of films and am an avid movie-goer. I like to keep up with the latest movies, that is, be up to date about the successful movies that are of high popularity and watch them in my free time. I tend to make my decisions on how good a movie is based on how much money the movie generates, because the more money generated by the movie, it is more likely that more people …show more content…
I carried out a linear regression t-test using my GDC.
The linear regression t-test is used to test if there is a significant linear relationship between an independent variable and a dependent variable. Therefore I will be making use of this test to see if there is a significant linear relationship between the budget and the gross of a movie budget.
Below is the linear regression t-test that I carried out.
LINEAR REGRESSION T-TEST
To carry out a linear regression t-test, I will need to come up with two hypotheses. Firstly, the null hypothesis, which is a default statement that would be accepted if there is no significant evidence against it. Secondly, the alternative hypothesis which is a statement opposite that of the null hypothesis . What I will be doing in this linear regression t –test is to prove that there is sufficient evidence to reject the null hypothesis, and this would be through finding the p-value and ensuring it does not exceed the significance level set by myself. The two statements can be seen below.
H0 : p = 0
H1 : p ≠ 0
Next, I will need to calculate the test statistic, t, which has the