Regression Analysis Twenty Motels location data over the operating margin is reported in Table 1 below. Table
Question:
Regression Analysis
Twenty Motels’ location data over the operating margin is reported in Table 1 below.
Table 1- Twenty Motels’ location data over the operating margin
Motel | Competitor rooms | Distance to competitor | Office space | Distance to downtown | Operating Margin |
M1 | 2967 | 1.4 | 529 | 55.5 | 44.60% |
M2 | 2613 | 1.8 | 249 | 61.5 | 43.30% |
M3 | 3222 | 1.1 | 425 | 51 | 43.60% |
M4 | 2945 | 3.5 | 697 | 43.5 | 48.10% |
M5 | 3843 | 1.3 | 631 | 64.5 | 45.70% |
M6 | 2178 | 2 | 578 | 73.5 | 54.90% |
M7 | 2802 | 2.8 | 542 | 51 | 42.40% |
M8 | 2586 | 3.5 | 627 | 60 | 51.00% |
M9 | 2887 | 1.2 | 488 | 37.5 | 49.50% |
M10 | 3575 | 2.3 | 499 | 49.5 | 39.70% |
M11 | 3447 | 1.9 | 137 | 66 | 32.80% |
M12 | 3555 | 1.6 | 398 | 64.5 | 41.40% |
M13 | 2964 | 1.1 | 622 | 49.5 | 47.90% |
M14 | 2540 | 3.7 | 178 | 57 | 38.40% |
M15 | 2920 | 3.6 | 410 | 60 | 41.00% |
M16 | 2083 | 2.6 | 595 | 49.5 | 49.40% |
M17 | 3303 | 2.5 | 478 | 70.5 | 44.70% |
M18 | 1477 | 2.7 | 663 | 69 | 62.30% |
M19 | 3052 | 1.9 | 691 | 69 | 47.10% |
M20 | 2841 | 2 | 449 | 55.5 | 42.30% |
Questions:
a. Determine and interpret which variable is the most highly correlated to the measure of operating margin. Would you describe this relationship as strong or weak?
b. Plot the data and write out the regression model for operating margin and distance to downtown. Interpret it clearly [6 marks].
c. Identify the slope, the intercept in (b), then interpret the values [6 marks].
d. What is the value of R-squared? Properly interpret its meaning. [6 marks].
e. What is a potential limitation if we only consider one independent variable in the regression analysis? Discuss, comparing directly with the results obtained using multiple regression. [7 marks].
Business Communication Process and Product
ISBN: 978-0324542905
6th Edition
Authors: Mary Ellen Guffey