The below multiple linear regression model regresses calories on sugar (gm/servi

Question

The below multiple linear regression model regresses calories on sugar (gm/serving) and fiber (gm/serving). Examine the graphical and numerical output for Question A in the output packet to help you answer the following questions.

Which cereal(s) is an extreme outlier on y? (If selecting more than one than rank with the highest leverage being ranked as 1.)

a.      Just Right                    ___________

b.     Kenmei Rice Bran             ___________   

c.      Mueslix Crispy Blend        ___________       

d.     All Bran Xtra Fiber            ___________    

e.      Fruit'n Oat Bran Crunch     ___________

f.       Uncle Sam                        ___________

model l (Calories Sugar+Fiber); summary (model) Estimate Std. Error t value Pr (>ltD (Intercept) 109.3082 6.3913 17.103 K 2e-16 1.0050 0.134 Sugar 2.6546 1.535 Fiber 0.8346 4.486 8.31e-05 3.7442

Explanation / Answer

From Cook's Distance graph, we get point with index 9, 27 and 28 are high influential point in determining the slope of fitted regression

From leverage graph, we get point with index 3 and 34 are high leverage points

From studentized residual, we have points with index 4, 9 and 27 as the points with high error/distance from the fitted line.

So, points with index 4, 9 and 27 ( Just Right, Kenmei Rice Bran and Mueslix Crispy Blent) can be considered as outliers as they are at a great distance the from fitted line.

Also Kenmei Rice Bran is the extreme outlier as it has maximum studentized residual.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.