A study was done to determine the relationship between the alcohol content of beer, and the amount of calories in a 12 oz serving size. The sample data is provided in the data below.
a) From this sample data, can you conclude (at the alpha=0.05 level) that there is in fact a linear correlation between the two variables? Use the statistics (correlation coefficient, value) to describe the correlation (if any).
B) Using the sample data, find a regression equation to estimate the number of calories in a beer.
C) Dogfish Head Brewery in Milton, Delaware has an I.P.A. beer called “120 minute IPA” which has an alcohol content of 18%. Using your regression equation, estimate the number of calories in a 12 oz serving of 120 Minute.
|Brand/Beer||Alcohol Content (%)||Calories (per 12 oz)|
|Big Sky Scape Goat Pale Ale||4.70||163|
|Sierra Nevada Harvest Ale||6.70||215|
|Genesee Cream Ale||5.10||162|
|Sierra Nevada Summeefest Beer||5.00||158|
|Big Sky I.P.A.||6.20||195|
A study was done to determine whether the proportion of women who had accidents on Friday the 13th was greater than the proportion of men who had accidents on Friday the 13th. To find out, a random sample was taken of 2,000 individuals. Each individual was asked their gender and whether they had been involved in an accident on Friday the 13th.
a)What is the explanatory variable, and is it quantitative or categorical?
b)What is the response variable, and is it quantitative or categorical?
c)What procedure should be used for this test?
A study was done to determine whether or not taking Stat 121 will increase the chances of getting into one’s preferred major. 100 students participated in this study, 50 were randomly assigned to take Stat 121 and the other 50 did not take Stat 121. After the semester the students applied for their major choice and it was recorded whether or not the student got into the major.
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