The number of shots taken and points scored by 8 players in a basketball game are shown in the table. Number of shots taken 1 4 7 8 10 11 11 14 Number of points scored 0 4 8 9 14 12 15 22 A basketball coach is investigating whether the number of shots taken can be used to predict the mean number of points scored. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in the number of points scored for each increase of 1 shot taken? A)A one-sample t -interval for means B)A linear regression t -interval for slope C) A two-sample t -interval for a difference between means D)A matched-pairs t -interval for a mean difference E)A two-sample z-interval for a difference between proportions
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 number of shots taken and points scored by 8 players in a basketball game are shown in the table.
| Number of shots taken | 1 | 4 | 7 | 8 | 10 | 11 | 11 | 14 |
| Number of points scored | 0 | 4 | 8 | 9 | 14 | 12 | 15 | 22 |
A basketball coach is investigating whether the number of shots taken can be used to predict the
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A)A one-sample t -interval for means
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B)A linear regression t -interval for slope
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C) A two-sample t -interval for a difference between means
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D)A matched-pairs t -interval for a mean difference
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E)A two-sample z-interval for a difference between proportions
Given
The number of shots taken and points scored by 8 players in a basketball game are shown in the table.
| Number of shots taken | 1 | 4 | 7 | 8 | 10 | 11 | 11 | 14 |
| Number of points scored | 0 | 4 | 8 | 9 | 14 | 12 | 15 | 22 |
A basketball coach is investigating whether the number of shots taken can be used to predict the mean number of points scored. .
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