Final answer:
Sales on day 60 are predicted to be $250.12 thousand and on day 90 they are predicted to be $324.52 thousand, using the regression model îy = 101.32 + 2.48x.
Step-by-step explanation:
The question asks about the prediction of unit sales based on a given linear regression model. Specifically, the model îy = 101.32 + 2.48x is used to predict sales growth, where îy represents sales in thousands of dollars, and x represents the day within the first 90 days of the year.
To predict the sales on day 60, we substitute x with 60 in the regression equation:
îy = 101.32 + 2.48(60)
The calculation gives us îy = 101.32 + 148.8, which equals 250.12 (in thousands of dollars).
Similarly, to predict the sales on day 90, we substitute x with 90 in the equation:
îy = 101.32 + 2.48(90)
The calculation gives us îy = 101.32 + 223.2, which equals 324.52 (in thousands of dollars).
These predictions are essential for the company to estimate future sales and plan their inventory and production accordingly.