What is the relationship between diamond price and carat size? 307 diamonds were sampled (ranging in size from 0.18 to 1.1 carats) and a straight-line relationship was hypothesized between y = diamon price (in dollars) and x = size of the diamond (in carats)The simple linear regression for the analysis is shown below. Least Squares Linear Regression of PRICE Predictor Variables Coefficient Error TP Constant -2298 36 158.531 14.50 0.0000 Size 11598.9 230.11150.41 0.0000 R-Squared Resid. Mean Square (MSE) 1248950 Adjusted R-Squared 0.8922 Standard Deviation 1117.56 Interpret the estimated y-intercept of the regression line. Select one : When a diamond is carats in size, we estimate the price of the diamond to be 2298.36 B. When a diamond is carats in size we estimate the price of the diamond to be $11,598.90 When a diamond is 11598.9 carats in size, we estimate the price of the diamond to be $2298.36 D. No practical interpretation of the yintercept exists since a diamond of carats cannot exist and falls outside the range of the carat sizes sampled

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

the photograph is photographer and- in the process- ourselves.

step-by-step explanation: