Use the cereals data set included, at the book series website, for the following exercises. Use regression

Question:

Use the cereals data set included, at the book series website, for the following exercises. Use regression to estimate rating based on fiber alone.

Find a 95% confidence interval for the true mean rating for all cereals with a fiber content of 3 grams.

Cereal Data Set:

 
cereal
nameManufacturertypecalories per servinggrams of proteingrams of fatmilligrams of sodiumgrams of dietary fibergrams of complex carbohydratesgrams of sugarsmilligrams of potassiumvitamins and minerals (% of FDA recommendation)Display shelfWeight in ounces per one servingNumber of cups in one servingRating of cereal
Apple Cinnamon CheeriosGeneral MillsCold110221801.510.5107025110.7529.50954
Basic 4General MillsCold1303221021881002531.330.7537.03856
CheeriosGeneral MillsCold11062290217110525111.2550.765
Cinnamon Toast CrunchGeneral MillsCold1201321001394525210.7519.82357
ClustersGeneral MillsCold11032140213710525310.540.40021
Cocoa PuffsGeneral MillsCold1101118001213552521122.73645
Count ChoculaGeneral MillsCold1101118001213652521122.39651
Crispy Wheat & RaisinsGeneral MillsCold100211402111012025310.7536.1762
Golden GrahamsGeneral MillsCold1101128001594525210.7523.80404
Honey Nut CheeriosGeneral MillsCold110312501.511.5109025110.7531.07222
KixGeneral MillsCold1102126002134025211.539.24111
Lucky CharmsGeneral MillsCold1102118001212552521126.73452
Multi-Grain CheeriosGeneral MillsCold100212202156902511140.10597
Oatmeal Raisin CrispGeneral MillsCold130321701.513.5101202531.250.530.45084
Raisin Nut BranGeneral MillsCold100321402.510.5814025310.539.7034
Total Corn FlakesGeneral MillsCold1102120002133510031138.83975
Total Raisin BranGeneral MillsCold140311904151423010031.5128.59279
Total Whole GrainGeneral MillsCold10031200316311010031146.65884
TriplesGeneral MillsCold1102125002136025310.7539.10617
TrixGeneral MillsCold1101114001312252521127.7533
WheatiesGeneral MillsCold1003120031731102511151.59219
Wheaties Honey GoldGeneral MillsCold1102120011686025110.7536.18756
All-BranKelloggsCold704126097532025310.3359.42551
All-Bran with Extra FiberKelloggsCold5040140148033025310.593.70491
Apple JacksKelloggsCold1102012511114302521133.17409
Corn FlakesKelloggsCold100202901212352511145.86332
Corn PopsKelloggsCold110109011312202521135.78279
Cracklin' Oat BranKelloggsCold11033140410716025310.540.44877
CrispixKelloggsCold110202201213302531146.89564
Froot LoopsKelloggsCold1102112511113302521132.20758
Frosted FlakesKelloggsCold11010200114112525110.7531.43597
Frosted Mini-WheatsKelloggsCold100300314710025210.858.34514
Fruitful BranKelloggsCold12030240514121902531.330.6741.01549
Just Right Crunchy NuggetsKelloggsCold1102117011766010031136.52368
Just Right Fruit & NutKelloggsCold1403117022099510031.30.7536.47151
Mueslix Crispy BlendKelloggsCold16032150317131602531.50.6730.31335
Nut&Honey CrunchKelloggsCold1202119001594025210.6729.92429
Nutri-Grain Almond-RaisinKelloggsCold1403222032171302531.330.67
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