Question
Discussion # II - Looking at part 2 Excel output, and the Regression Equation,interpret the slope of the Regression Equation. Use the Regression Equationto make
Discussion # II - Looking at part 2 Excel output, and the Regression Equation,interpret the slope of the Regression Equation. Use the Regression Equationto make a prediction and show the work for your predicted value based on your expression. For Example, if Year is used to predict Price, plug in a Year value into the regression equation and use it to predict the Price of a vehicle. Does this predicted Price value make sense with the data?
Part 2, table 2
Vehicle Type | Year | Make | Model | Price | MPG (city) | MPG (highway) | Seating Capacity |
Midsize SUV | 2022 | Kia | Telluride | 34,015 | 20 | 26 | 8 |
Midsize SUV | 2022 | Genesis | GV70 | 42,045 | 22 | 28 | 5 |
Midsize SUV | 2022 | Genesis | GV80 | 50,745 | 21 | 25 | 5 |
Midsize SUV | 2022 | Hyundai | Santa Fe | 28,425 | 25 | 28 | 5 |
Midsize SUV | 2022 | Kia | Sorento | 30,665 | 24 | 29 | 7 |
Midsize SUV | 2022 | Hyundai | Santa Fe Hybrid | 34,975 | 36 | 31 | 5 |
Midsize SUV | 2022 | Kia | Sorento Hybrid | 35,165 | 39 | 35 | 7 |
Midsize SUV | 2022 | Hyundai | Sante Fe Plug-In Hybrid | 40,575 | 31 | 76 | 5 |
Midsize SUV | 2022 | BMW | X5 | 60,395 | 21 | 26 | 7 |
Midsize SUV | 2022 | Subaru | Outback | 28,070 | 26 | 33 | 5 |
Car | 2021 | Lamborghini | Sian FKP 37 | 3,000,000 | 8 | 14 | 2 |
The correlation is 0.0712.
R^2 = 0.0712 * 0.0712 = 0.0051, which indicates a positive correlation, but a fairly weak correlation at less than 1%.
After running a regression analysis, the equation, p-value, and conclusion are as follows:
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.07117981 | |||||||
R Square | 0.005066565 | |||||||
Adjusted R Square | -0.119300114 | |||||||
Standard Error | 10935.44831 | |||||||
Observations | 10 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 4871725.291 | 4871725 | 0.040739 | 0.845081 | |||
Residual | 8 | 956672237.2 | 1.2E+08 | |||||
Total | 9 | 961543962.5 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 34881.74419 | 18293.43821 | 1.90679 | 0.09299 | -7303 | 77066.49 | -7303 | 77066.49 |
Seating Capacity | 614.5348837 | 3044.680577 | 0.201839 | 0.845081 | -6406.51 | 7635.581 | -6406.51 | 7635.581 |
Price = 614.53 (seat capacity (x)) + 34,881.74
P-value = 0.8451
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started