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Data is collected on the relationship between time spent playing video games and time spent with...

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 y^=−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) 306090120 Time with Family (Minutes) 50403525

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.

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Answer #1

95 minutes is within the range of x values and hence,

The estimate, a predicted time of  31.85 minutes, is both reliable and reasonable.

Option C is correct.

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