3. Using the R data set called warpbreaks (See ?warpbreaks for more info), we want to...

90.2K

Verified Solution

Question

Statistics

3. Using the R data set called warpbreaks (See ?warpbreaks formore info), we want to compare the mean breaks across both thedifferent types of wool and the different levels of tension. Inthis problem, use ?? = 0.10.
a. Make a boxplot to compare breaks across both wool andtension. Color-code the three different tension levels for easiervisibility. Within wool A, describe the relationship betweentension and breaks. Within wool B, describe the relationshipbetween tension and breaks.
b. Run a two-way ANOVA to compare breaks across both wool andtension, including their interaction. Is the interactionsignificant? Which main effects are significant?
c. Regardless of your answer to part b, make an interaction plot(color coding might help, but is not required) and interpretit.
d. Run a one-way ANOVA (or a two-sample ??-test) to comparebreaks across just wool. What is the result of the test, and how doyou reconcile that with our previous results?
Answers should be in the form of R code on how to accomplisheach part and include the correct statistical explanation for thosethat require it in the question. Please be as thorough as possible.Thank you so much!!!

Answer & Explanation Solved by verified expert

3.9 Ratings (754 Votes)

Rcommands and outputsdwarpbreaksheaddbreaks wool tension1 26 A L2 30 A L3 54 A L4 25 A L5 70 A L6 52 A Lbrkdbreakswooldwooltensiondtension aboxplotboxplotbrkwooltension colc337722 There is high variability between most pairs of wool andtension especially wool A and tension L This variability may be inherent in the data itself OR it is dueto small sample size n9 for each pair This question should bethought here Within wool A the relationship between tension and breaks isMORE VARIED as compared to that witin wool B This is indicated bylarger length See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member