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Can you help me with this Statistics problem? Any guidance or assistant is appreciated. What are the coefficients of correlation between miles per gallon and
Can you help me with this Statistics problem? Any guidance or assistant is appreciated.
What are the coefficients of correlation between miles per gallon and horsepower? Between miles per gallon and the weight of the car? What are the directions and strengths of these coefficients? Do the coefficients of correlation indicate a strong correlation, weak correlation, or no correlation between these variables?
Cars data frame (showing only the first five observations) Unnamed: 0 mpg cyl disp hp drat wt qsec vs am gear carb 30 Maserati Bora 15.0 8 301.0 335 3.54 3.570 14.60 0 8 18 Honda Civic 30.4 4 75.7 52 4.93 1.615 18.52 1 1 2 15 Lincoln Continental 10.4 8 460.0 215 3.00 5.424 17.82 0 0 3 6 Chrysler Imperial 14.7 8 440.0 230 3.23 5.345 17.42 0 0 3 13 Merc 450SLC 15.2 8 275.8 180 3.07 3.780 18.00 0 0 3 3 MPG against Weight 30 - 25 MPG 20 15 . . 10 15 20 25 3.0 3.5 4.0 4.5 5.0 5.5 Weight (1000s lbs) MPG against Horsepower 35 30 MPG 20 15 10 50 100 150 20 250 30 Horsepower mpg wt hp pg 1.000000 -0.869022 -0.778709 wt -0. 869022 1.000000 0.655075 hp -0.778709 0.655075 1.005000 OLS Regression Results Dep. Variable: mpg R- squared: 0. 832 Model : I OLS Adj. R-squared: 0. 820 Method: Least Squares F-statistic: 66. 87 Date: Tue, 04 Oct 2022 Prob (F-statistic) : 3.47e-11 Time : 05:29:14 Log-Likelihood: -70. 077 No. Observations: 30 AIC : 146.2 Df Residuals: 27 BIC: 150.4 Df Model : 2 Covariance Type: nonrobust coef std err P> t [0. 025 0.975] Intercept 37.5745 1.663 22.596 0.000 34. 162 40.986 wt -3.9162 0. 650 -6.023 0.000 -5.250 -2. 582 hp -0. 0325 0. 009 -3.514 0. 002 -0.052 -0. 014 Omnibus : 3.946 Durbin-Watson : 1.927 Prob (Omnibus ) : 0. 139 Jarque-Bera (JB) : 2.898 Skew : 0.758 Prob (JB) : 0. 235 Kurtosis: 3.146 Cond. No. 592. Warnings : [1] Standard Errors assume that the covariance matrix of the errors is correctly specifiedStep by Step Solution
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