The critic rating and audience score for 8 movies are shown in the table. Critic Rating 72 80 65 23 28 60 41 35 Audience Score 64 92 90 48 55 70 44 80 An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating? A one-sample t-test for means A A linear regression t-interval for slope B A two-sample t-interval for a difference between means C A matched-pairs t-interval for a mean difference D A two-sample Z-interval for a difference between proportions E
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.
The critic rating and audience score for 8 movies are shown in the table.
| Critic Rating | 72 | 80 | 65 | 23 | 28 | 60 | 41 | 35 |
| Audience Score | 64 | 92 | 90 | 48 | 55 | 70 | 44 | 80 |
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
-
A one-sample t-test for means
A -
A linear regression t-interval for slope
B -
A two-sample t-interval for a difference between means
C -
A matched-pairs t-interval for a mean difference
D -
A two-sample Z-interval for a difference between proportions
E
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