1) A sample of fast food menu items is taken and the item's sodium and calories are reported. Sodium 350 970 590 250 635 520 800 570| 1160 1040 (mg) Calories 160 300 290 160 | 180 240 320 290 360 270 a) Find the sample mean and standard deviation of the amount of sodium and calories for these items. (round to 100th and use appropriate symbols) b) Find the Least Squares Regression equation for the data. Let sodium be the explanatory variable. Ro coefficients to the nearest 100th. c) What is the slope of the model? Explain its meaning in the context of the data. d) Find the value of the correlation coefficient, r. What does this value tell us about the relationship be the variables? e) Use your equation to predict the number of calories in a menu item with 700 mg of sodium.
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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