Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $125 million. Use a significance level of α=0.05. Budget ($)in Millions 45 25 117 69 77 49 119 68 5 55 121 24 13 154 11 Gross ($) in Millions 117 4 98 60 116 125 92 99 62 94 219 40 13 290 41 The regression equation is y=______+______x. (Round to one decimal place as needed.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
|
Budget ($)in Millions
|
45
|
25
|
117
|
69
|
77
|
49
|
119
|
68
|
5
|
55
|
121
|
24
|
13
|
154
|
11
|
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
Gross ($)
in Millions
|
117
|
4
|
98
|
60
|
116
|
125
|
92
|
99
|
62
|
94
|
219
|
40
|
13
|
290
|
41
|
|
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