Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is ŷ =−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables Video Games(minutes) Time with Family(minutes) 30 50 60 40 90 35 120 25 According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 31.85. Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: The estimate, a predicted time of 31.85 minutes, is unreliable but reasonable. The estimate, a predicted time of 31.85 minutes, is both unreliable and unreasonable. The estimate, a predicted time of 31.85 minutes, is both reliable and reasonable. The estimate, a predicted time of 31.85 minutes, is reliable but unreasonable.
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.
Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is ŷ =−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables
|
Video Games(minutes) |
Time with Family(minutes) |
|
30 |
50 |
|
60 |
40 |
|
90 |
35 |
|
120 |
25 |
According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 31.85. Is it reasonable to use this line of best fit to make the above prediction?
Select the correct answer below:
The estimate, a predicted time of 31.85 minutes, is unreliable but reasonable.
The estimate, a predicted time of 31.85 minutes, is both unreliable and unreasonable.
The estimate, a predicted time of 31.85 minutes, is both reliable and reasonable.
The estimate, a predicted time of 31.85 minutes, is reliable but unreasonable.
X = Video games (Minutes)
Y = Time with family
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