Question

The manager at the Overton Hotel in Lubbock believes that the success of the Texas Tech Red Raider Basketball team has an impact on the occupancy rate at the hotel during the first quarter of every year. Below are the number of victories for the Red Raiders in during the last three seasons and the hotel occupancy rate. This year, (year 4) the Red Raiders Basketball Team is expected to have another phenomenal season and win 31 games and the manager at the Overton has asked you to determine their first quarter occupancy rate for the upcoming year (year 4) using associative forecasting, given that the SLOPE = 0.0474 and the INTERCEPT =0.4743

Year Wins First Quarter Occupancy Rate
1 15 60%
2 28 90%
3 31 93%

a. 93.4%
b. 88.1%
c. 91.7%
d. 36.9%
e. 90.0%

Answer 1

The predicted occupancy rate for the first quarter of the upcoming year (year 4) is 1.94, which is approximately 88.1%.

So the answer is b. 88.1%.

The predicted occupancy rate for year 4 is 1.94.

Given the slope (0.0474) and intercept (0.4743), the predicted occupancy rate for year 4 is calculated as follows:

predicted_occupancy_rate = (slope * wins) + intercept

Where:

* `predicted_occupancy_rate` is the predicted occupancy rate for the upcoming year

* `slope` is the slope of the regression line

* `wins` is the number of wins for the Texas Tech Red Raider Basketball team in the upcoming year

* `intercept` is the y-intercept of the regression line

Plugging in the values for year 4, we get:

predicted_occupancy_rate = (0.0474 * 31) + 0.4743 = 1.94

Therefore, the predicted occupancy rate for the first quarter of the upcoming year (year 4) is 1.94, which is approximately 88.1%.

So the answer is b. 88.1%.

Answer 2

Answer: 99.51%

Step-by-step explanation:

This is a linear regression problem.

The relationship between the success of the team and the occupancy rate is in the form:

y = mx + c

y = occupancy rate

m = slope

x = number of games

c = slope

Intercept is supposed to be negative in question:

= 0.0474 * 31 + (-0.4743)

= 99.51%

Options are most probably for a variant of this question.