The table shows data collected on the relationship between the average number of minutes spent exercising per day and math test scores. The line of best fit for the data is yˆ=0.44x+65.2. Minutes 25303540 Test Score 76798083 (a) According to the line of best fit, the predicted test score for someone who spent 42 minutes exercising is 83.68. (b) Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: The estimate, a predicted test score of 83.68, is both reasonable and reliable. The estimate, a predicted test score of 83.68, is unreliable but reasonable. The estimate, a predicted test score of 83.68, is both unreasonable and unreliable. The estimate, a predicted test score of 83.68, 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.
(a) According to the line of best fit, the predicted test score for someone who spent 42 minutes exercising is 83.68.
(b) Is it reasonable to use this line of best fit to make the above prediction?
Select the correct answer below:
The estimate, a predicted test score of 83.68, is both reasonable and reliable.
The estimate, a predicted test score of 83.68, is unreliable but reasonable.
The estimate, a predicted test score of 83.68, is both unreasonable and unreliable.
The estimate, a predicted test score of 83.68, is reliable but unreasonable.
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