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

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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

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.

 

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