InnerSloth continue to update their popular video game Among Us.3 Scraping their serverlogs, we have the sample data below. For the number of players, the sample statistics includea mean of about 7.7778 players and a standard deviation of about 1.3017 players. For thegame times, the sample statistics include a mean of about 407.5556 seconds and a standard deviation of about 68.4235 seconds. The correlation between the number of players and thegame time is about 0.9012. (a) Build a linear regression model for the sample data.
(b) Use the model to predict the length of a game that has nine players.
Players Time
6 353
6 312
7 315
8 420
8 464
8 404
8 423
9 482
10 495