Gather three of your favorite packaged food

Following completion of your weekly readings, read Are You Sure It s Fat Free on page 236 of Mathematics in Our World.

Gather three of your favorite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the Are You Sure It s Fat Free to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.
Your introduction should include three to five sentences of general information about the topic at hand.
The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems.
Your conclusion must comprise a summary of the problems and the reason you selected A
a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.
This what came out the book that you got to use. On page 236
Are you sure its fat free
The reason that a 9% fat free food id too good to be true is that the food industry bases its figures on the weight of the product and not the calories the product contains for example suppose a 10 calories and the label states that it contains 240 calories and the label states that it contains 9 grams by multiplying each ounce by 29 grams hence the total of the products is 290 grams and if there are 9 grams of fat, the percentage of fat is 9 line und
er 290 *100% =3.1%
The procedure used by the food industry is misleading. The correct way to calculate the fat content is to multiply the number of grams of fat by 9 to get the calories. Each gram of fat is converted to calories. In this case 9*9=81 calories. Next divide the fat calories by the total calories and multiply by 100% to get percentage of calories dervied from fat, in this case the label stated that a 10- ounces serving contained a total of 240 calories. 81 line under240*100%=33.75 %
Hence, 33.75% of the calories come from fat , not 3% as suggested.

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When potential workers apply for a job that requires extensive manual assembly
 Posted on 2014-05-11 04:53:00

When potential workers apply for a job that requires extensive manual assembly of small intricate parts, they are initially given three different tests to measure their manual dexterity. The ones who are hired are then periodically given a performance rating on a 0 to 100 scale that combines their speed and accuracy in performing the required assembly operations. The file P14_47.xlsx lists the test scores and performance ratings for a randomly selected group of employees. It also lists their seniority (months with the company) at the time of the performance rating. a. Run the regression of Performance Rating versus all four explanatory variables. List the equation, the R-square value, and the standard error of estimate. Do all of the regression coefficients have the signs you would expect? Briefly explain. b. Referring to the equation in part a, if a worker (outside of the 80 in the sample) has 15 months of seniority and test scores of 57, 71, and 63, give a prediction and an approximate 95% prediction interval for this worker's Performance Rating score. c. Arguably, the three test measures provide overlapping (redundant) information. It might be sensible to regress Performance Rating versus only two explanatory variables, Seniority and Average Test, where Average Test is the average of the three test scores, that is, Average Test = (Test1 + Test2 + Test3)/3. Run this regression and report the same measures as in part a: the equation itself, R-square, and the standard error of estimate. Can you argue that this equation is just as good as the equation in part a ? Explain briefly.