Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 160 170 120 130 90 180 Sodium, y 415 465 340 370 250 510 The equation of the regression line is ŷ = x + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) (a) x = 180 calories, (b) x = 100 calories, (c) x = 140 calories, (d) x = 220 calories Use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) (a) Substitute x = 180 into the regression equation and simplify. (b) Substitute x = 100 into the regression equation and simplify. (c) Substitute x = 140 into the regression equation and simplify. (d) Substitute x = 220 into the regression equation and simplify.

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

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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.

Calories, x

160

170

120

130

180

Sodium, y

415

465

340

370

250

510

The equation of the regression line is ŷ = ______ x + ______

(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

(a) x = 180 calories, (b) x = 100 calories, (c) x = 140 calories, (d) x = 220 calories

Use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.

(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

(a) Substitute x = 180 into the regression equation and simplify.

(b) Substitute x = 100 into the regression equation and simplify.

(d) Substitute x = 220 into the regression equation and simplify.

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