Final answer:
Sales predictions for an electronics retailer on day 60 and day 90 can be calculated using the linear regression model. On day 60, the sales are predicted to be $250,120, and on day 90, the sales are projected to be $324,520.
Step-by-step explanation:
The sales prediction for an electronics retailer can be estimated using the provided regression model \(ŷ = 101.32 + 2.48x\), where \(ŷ\) represents the predicted sales in thousands of dollars, and \(x\) is the day within the 90-day time frame.
To predict sales on day 60, substitute \(x = 60\) into the equation:
\[ ŷ = 101.32 + 2.48(60) \]
\[ ŷ = 101.32 + 148.8 \]
\[ ŷ = 250.12 \text{ thousand dollars} \]
Therefore, the predicted sales on day 60 are approximately $250,120.
To predict sales on day 90, substitute \(x = 90\) into the equation:
\[ ŷ = 101.32 + 2.48(90) \]
\[ ŷ = 101.32 + 223.2 \]
\[ ŷ = 324.52 \text{ thousand dollars} \]
Hence, the predicted sales on day 90 are approximately $324,520.
These predictions are based on the regression analysis of the provided model, allowing for the estimation of sales at specific points within the given time frame.