Questions: 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. (a) x=150 cal (b) x=90 cal (c) x=175 cal (d) x=208 cal The equation of the regression line is y-hat=0.19x-22.65. (Round to two decimal places as needed.)

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

The equation of the regression line is y-hat=0.19x-22.65.
(Round to two decimal places as needed.)
Transcript text: 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. (a) $x=150$ cal (b) $x=90$ cal (c) $x=175 \mathrm{cal}$ (d) $x=208$ cal The equation of the regression line is $\hat{y}=0.19 x+-22.65$. (Round to two decimal places as needed.)
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Solution

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Solution Steps

Step 1: Identify the Regression Line Equation

The equation of the regression line is given as \( \hat{y} = 0.19x - 22.65 \).

Step 2: Construct a Scatter Plot and Draw the Regression Line

To construct a scatter plot of the data and draw the regression line, plot the given data points (caloric contents vs. sugar contents) on a graph. Then, draw the line represented by the equation \( \hat{y} = 0.19x - 22.65 \).

Step 3: Choose the Correct Graph

Examine the provided graphs (A, B, C, D) and select the one that correctly represents the scatter plot of the data and the regression line \( \hat{y} = 0.19x - 22.65 \).

Final Answer

The correct graph is B.

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