A number is missing in each of the data sets below. Ifpossible, fill in the blan
ID: 2950818 • Letter: A
Question
A number is missing in each of the data sets below. Ifpossible, fill in the blank to make r equal to 1. If this is notpossible, say why not. a) x |1 2 2 4 b) x | 1 2 3 4 y | 1 3 3 - y | 1 3 4 - If the charts are confusing, please message me! They areactually just t-charts. A number is missing in each of the data sets below. Ifpossible, fill in the blank to make r equal to 1. If this is notpossible, say why not. a) x |1 2 2 4 b) x | 1 2 3 4 y | 1 3 3 - y | 1 3 4 - If the charts are confusing, please message me! They areactually just t-charts.Explanation / Answer
For r to equal 1, it means that if we construct a line that goesthrough any of the two given points, it will include all of thegiven points. For the first one, let's use the points (1,1) and (2,3). m = (3 - 1) / (2 - 1) = 2 y - 1 = 2 * (x - 1) y - 1 = 2x - 2 y = 2x - 1 The line clearly goes through (1,1) and (2,3) since those were thepoints used to construct it. This means that it willautomatically go through the first three points given (as the 3rdpoint is the same as the 2nd). The fourth point willtherefore be: y(4) = 2 * (4) - 1 = 7 Now, let's do the same thing again for the new table. There'sno need to reconstruct the line since the first two points are thesame. Thus, the line from the previous problem should fitthis data as well. Plugging in x = 3, we find... y(3) = 2*6 - 1 = 5 However, the table says that when x is 3, y is actually 4. Since we have already constructed the line so that it goes throughthe first two points, making it go through the third point willmean that it will not be able to go though one of the first twopoints. In other words, we cannot construct a single linethat goes through the first three points. As a result, wecannot make r = 1.
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