![The data set mtcars in R has 11 variables with 32 observations. A data frame with 32 observations on 11 variables. [, 1] mp](http://img.homeworklib.com/questions/99867630-94e3-11eb-9f98-75716ffce347.png?x-oss-process=image/resize,w_560)
Homework Answers
R Code
dat.lm = lm( mpg ~ qsec+hp+cyl, data = mtcars)
summary(dat.lm)
| Estimate | std. error | t value | Pr(>|t|) | |
| Intercept | 55.30540 | 9.03697 | 6.120 | 1.33e-06 |
| qsec | -0.89424 | 0.42755 | -2.092 | 0.04567 |
| hp | -0.03552 | 0.01622 | -2.190 | 0.03700 |
| cyl | -2.26960 | 0.54505 | -4.164 | 0.00027 |
F-statistic = 32.29
Conclusion: Comparing p value for the F test to significance level (let's consider here 0.05) ,if p value is less than significance level then there sufficient science to prove that mpg is determine by qsec , hp and cyl variable.
Here p value is 3.135e-09 which is less than 0.05
there sufficient science to prove that mpg is determine by qsec , hp and cyl variable
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