Read the following description of a data set.
The design team at an electronics company is evaluating its new prototype for a miniature recording device. As part of this evaluation, designers at the company gathered data about competing devices already on the market.
Among other things, the designers recorded the thickness of each recording device (in millimeters), x, and its maximum recording length (in minutes), y.
The least squares regression line of this data set is:
y= 46.083x – 1,051.268
How much recording time does this line predict for a device 29.05 millimeters thick?
Round your answer to the nearest integer.
minutes
The predicted recording time for a device that is 29.05 millimeters thick would be:
y = 46.083(29.05) - 1,051.268
y = 1341.456 - 1,051.268
y = 290.188
Rounded to the nearest integer, the predicted recording time would be 290 minutes.