Mileage and Vehicle Weight  (n = 73 vehicles)               SUMMARY OUTPUT                                                         Vehicle Weight City MPG               Regression Statistics                 Acura TL 3968 20                 Multiple R 0.894329                 Audi A5 3583 22       R Square 0.799824                 BMW 4 Series 428i 3470 22       Adjusted R Square 0.797005                 BMW X1 sDrive28i 3527 23       Standard Error 2.238113                 Buice LaCrosse 3990 18       Observations 73                 Buick Enclave 4724 17                           Buick Regal 3692 21       ANOVA                   Cadillac ATS 3315 22         df SS MS F Significance F         Cadillac CTS 3616 20       Regression 1 1421.035 1421.035 283.688 1.67E-26         Cadillac Escalade 5527 14       Residual 71 355.6495 5.009148             Chevrolet Camaro 1SS 3719 16                   Total 72 1776.685               Chevrolet Cruze LS 3097 26                             Chevrolet Impala LTZ 3800 19           Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%   Chevrolet Malibu 2LT 3532 25         Intercept 40.08315 1.152588 34.77665 2.49E-46 37.78496 42.38135 37.78496 42.38135   Chevrolet Spark LS 2269 31         Weight -0.00517 0.000307 -16.843 1.67E-26 -0.00578 -0.00456 -0.00578 -0.00456   Chevrolet Suburban LTZ 5674 15                             Chrysler 200 Touring LX 3402 20                                   Chrysler 300 S 4029 19                               Dodge Charger SXT 3996 19                     Dodge Dart Limited 3242 23                     Fiat 500 Sport 2434 31                     Ford Fiesta S 2575 29                     Ford Focus  SE 2960 27                     Ford Mustang GT 3618 15                     Ford Taurus 4054 19                     Honda Accord LX 3192 24                     Honda CRV LX 3305 23                                   Hyundai Azera Limited 3605 19                                   Hyundai Genesis 5.0 4240 15                                   Hyundai Santa Fe GLS 3933 18                                   Infiniti Q60 3633 19                                   Infiniti QX50 3790 17                                   Jaguar F-Type 3477 20                                   Jeep Compass Limited 3258 21                                   Jeep Grand Cherokee Limited 4685 17                                   Kia Forte LX 2776 25                                   Kia Soul 2615 24                                   Kia Sportage LX 3186 21                                   Land Rover Range Rover Sport 5137 13                                   Lexus IS 250 3461 21                                   Lexus LS 460 4233 16                                   Lexus RX 350 4178 18                                   Lincoln MKT 4702 17                                   Lincoln MKZ 3713 22                                   Lincoln Navigator 5794 14                                   Mazda 2 2306 28                                   Mazda CX-5 Sport 3194 26                                   Mercedes-Benz C-250 3428 22                                   Mercedes-Benz CL600 4894 12                                   Mercedes-Benz ML350 4751 17                                   Mini-Cooper 2605 29                                   Mitsubishi Outlander Sport SE 3296 25                                   Nissan Armada SV 5267 13                                   Nissan Cube S 2789 25                                   Nissan Maxima SV 3570 19                                   Nissan Murano SV 4011 18                                   Nissan Versa S 2363 27                                   Porsche Cayenne 4398 15                                   Scion FR-S 2806 25                                   Scion iQ 2127 36                                   Scion XD 2665 27                                   Suburu Forester 2.5i Limited 3419 24                                   Suburu Legacy 2.5i Limited 3427 24                                   Toyota Camry XLE 3280 25                                   Toyota Land Cruiser 5765 13                                   Toyota RAV4 XLE 3465 24                                   Toyota Yaris 2295 30                                   Volkswagen Beetle 2.5L 3038 22                                   Volkswagen Jetta SE 3070 25                                   Volkswagen Toureg V6 Sport 4711 17                                   Volkswagen Passat SE 3230 24                                   Volvo S60 T5 3528 21                                   Volvo XC90 4667 16                                                                                                                                                                                                                                                                                                                                                                     (b) Obtain the regression equation. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.)  Y =  Not attemptedX + Not attempted (c) Calculate R2. (Round your answer to 4 decimal places.)  R2            Not attempted  (e) Calculate the degrees of freedom and t-critical for a two-tailed t test for zero slope at α = .05. (Round your answers to 2 decimal places.)     Degrees of freedom Not attempted t - critical ± Not attempted

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.