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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

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