Car Performance Evaluated in Terms of Miles/Gallon

• We are using an inbuilt dataset from R: mtcars
• It has a number of variables such as miles per gallon (mpg), cylinder (cyl), gears among others
• Miles/gallon is our response variables and we want to see how it varies with factors such as cylinders, transmissions among others
• We propose to visulaize the data and see how the parameters vary for different models

summary(mtcars)

      mpg             cyl             disp             hp       
 Min.   :10.40   Min.   :4.000   Min.   : 71.1   Min.   : 52.0  
 1st Qu.:15.43   1st Qu.:4.000   1st Qu.:120.8   1st Qu.: 96.5  
 Median :19.20   Median :6.000   Median :196.3   Median :123.0  
 Mean   :20.09   Mean   :6.188   Mean   :230.7   Mean   :146.7  
 3rd Qu.:22.80   3rd Qu.:8.000   3rd Qu.:326.0   3rd Qu.:180.0  
 Max.   :33.90   Max.   :8.000   Max.   :472.0   Max.   :335.0  
      drat             wt             qsec             vs        
 Min.   :2.760   Min.   :1.513   Min.   :14.50   Min.   :0.0000  
 1st Qu.:3.080   1st Qu.:2.581   1st Qu.:16.89   1st Qu.:0.0000  
 Median :3.695   Median :3.325   Median :17.71   Median :0.0000  
 Mean   :3.597   Mean   :3.217   Mean   :17.85   Mean   :0.4375  
 3rd Qu.:3.920   3rd Qu.:3.610   3rd Qu.:18.90   3rd Qu.:1.0000  
 Max.   :4.930   Max.   :5.424   Max.   :22.90   Max.   :1.0000  
       am              gear            carb      
 Min.   :0.0000   Min.   :3.000   Min.   :1.000  
 1st Qu.:0.0000   1st Qu.:3.000   1st Qu.:2.000  
 Median :0.0000   Median :4.000   Median :2.000  
 Mean   :0.4062   Mean   :3.688   Mean   :2.812  
 3rd Qu.:1.0000   3rd Qu.:4.000   3rd Qu.:4.000  
 Max.   :1.0000   Max.   :5.000   Max.   :8.000  

fit=lm(mpg~am+wt+hp,data=mtcars) 
summary(fit)

Call:
lm(formula = mpg ~ am + wt + hp, data = mtcars)

Residuals:
    Min      1Q  Median      3Q     Max 
-3.4221 -1.7924 -0.3788  1.2249  5.5317 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 34.002875   2.642659  12.867 2.82e-13 ***
am           2.083710   1.376420   1.514 0.141268    
wt          -2.878575   0.904971  -3.181 0.003574 ** 
hp          -0.037479   0.009605  -3.902 0.000546 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 2.538 on 28 degrees of freedom
Multiple R-squared:  0.8399,    Adjusted R-squared:  0.8227 
F-statistic: 48.96 on 3 and 28 DF,  p-value: 2.908e-11