Height, x 772 628 518 508 496 483 stories, y 51 48 44 43 37 35 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. (a) x = 498 feet (b) x = 640 feet (c) x = 345 feet (d) 735 feet Find the regression equation. Now construct a scatter plot of the data and draw the regression line. (a) Now use the regression equation to predict the value of y for each of the given x-values, if meaningful. Because the correlation between x and y is significant, the equation of the regression line can be used to predict y-values. However, prediction values are meaningful only for x-values in the range of the data. Begin with x = 498. Since x = 498 is in the range of the original data it is meaningful to predict the value of y for x = 498. Now substitute 498 for x into the regression equation, then calculate ŷ, the predicted y-value. (b) Now predict the value of y for x = 640. Since x = 640 is in the range of the original data it is meaningful to predict the value of y for x = 640. (c) Next predict the value of y for x = 345. Since x = 345 is not in the range of the original data it is not meaningful to predict the value of y for x = 345. (d) Finally predict the value of y for x = 735. Since x = 735 is in the range of the original data it is meaningful to predict the value of y for x = 735

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 16CR: XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ...

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Question

Height, x	772	628	518	508	496	483
stories, y	51	48	44	43	37	35

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.

(a) x = 498 feet (b) x = 640 feet (c) x = 345 feet (d) 735 feet

Find the regression equation.
Now construct a scatter plot of the data and draw the regression line.

(a) Now use the regression equation to predict the value of y for each of the given x-values, if meaningful. Because the correlation between x and y is significant, the equation of the regression line can be used to predict y-values. However, prediction values are meaningful only for x-values in the range of the data.

Begin with x = 498. Since x = 498 is in the range of the original data it is meaningful to predict the value of y for x = 498.

Now substitute 498 for x into the regression equation, then calculate ŷ, the predicted y-value.

(b) Now predict the value of y for x = 640. Since x = 640 is in the range of the original data it is meaningful to predict the value of y for x = 640.

(c) Next predict the value of y for x = 345. Since x = 345 is not in the range of the original data it is not meaningful to predict the value of y for x = 345.

(d) Finally predict the value of y for x = 735. Since x = 735 is in the range of the original data it is meaningful to predict the value of y for x = 735

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