Question: The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with
The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with depression.
Two outliers were investigated and then removed.
[The graph plots Number of Hours Using Smartphone per Day on the horizontal axis and Percent of People with Depression on the vertical axis. A line passes through the points (1, 10) and (10, 26). A series of data points closely follows the line and the equation near the line reads: f of x equals 1.73 times x plus 8.34 and r squared equals 0.56.] 2018 WGU, Powered by GeoGebra
Question 11 of 12
Question11
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Which statement is true about this regression?
By(10,25.8)on the regression function,itcanbeestimatedthat if a person uses a smartphone for10hours on average per day, there is a25.8%chance of having depression. This is an interpolation.
Once outliers are removed, the result is not trustworthy anymore.
By(10,25.8)on the regression function,itcanbeestimatedthat if a person uses a smartphone for10hours on average per day, there is a25.8%chance of having depression. This is an extrapolation.
With a coefficient of determination of 0.56, conclusions cannot be trusted.
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