Ice Cream Sold Average Temperature (degrees) Week (gal.) 1 73 110 65 95 81 135 4 90 160 5 75 97 6. 77 105 7 82 120 8. 93 175 9. 86 140 10 79 121
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The manager of Gilley’s Ice Cream Parlor needs an accurate forecast of the demand for ice
cream. The store orders ice cream from a distributor a week ahead; if the store orders too little,
it loses business, and if it orders too much, the extra must be thrown away. The manager believes
that a major determinant of ice cream sales is temperature (i.e., the hotter the weather, the more
ice cream people buy). Using an almanac, the manager has determined the average daytime temperature
for 10 weeks, selected at random, and from store records he has determined the ice
cream consumption for the same 10 weeks. These data are summarized as follows: a. Develop a linear regression model for these data and forecast the ice cream consumption if
the average weekly daytime temperature is expected to be 85 degrees.
b. Determine the strength of the linear relationship between temperature and ice cream consumption
by using
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