The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then 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. Calories, x Sugar, y 140 6 200 10 160 6 160 9 170 10 180 16 190 13 210 18 190 19 170 10 170 10 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 = 150 cal, (b) x = 90 cal, (c) x = 175 cal, (d) x = 208 cal 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 = 150 into the regression equation and simplify. (b) Substitute x = 90 into the regression equation and simplify. (c) Substitute x = 175 into the regression equation and simplify. (d) Substitute x = 208 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

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The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then 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.

Calories, x Sugar, y

140 6

200 10

160 6

160 9

170 10

180 16

190 13

210 18

190 19

170 10

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 = 150 cal, (b) x = 90 cal, (c) x = 175 cal, (d) x = 208 cal

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 = 150 into the regression equation and simplify.

(b) Substitute x = 90 into the regression equation and simplify.

(d) Substitute x = 208 into the regression equation and simplify.

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