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 = 160 cal E Click the icon to view the table of caloric and sugar contents. (b) x = 90 cal (c) x = 175 cal (d) x= 208 cal (b) Predict the sugar content for 90 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. Caloric and Sugar Contents O A. -g (Round to two decimal places as needed.) O B. It is not meaningful to predict this value of y because x= 90 is well outside the range of the original data. OC. It is not meaningful to predict this value of y because x = 90 is not an x-value in the original data. Calories, x Sugar, y (c) Predict the sugar content for 175 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. 150 6. 190 9 6. O A. a (Round to two decimal places as needed.) 160 6. 160 180 8 O B. It is not meaningful to predict this value of y because x = 175 is inside the range of the original data. 11 OC. It is not meaningful to predict this value of y because x= 175 is not an x-value in the original data. 190 16 (d) Predict the sugar content for 208 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. 190 13 210 18 200 20 O A. ŷ-9 (Round to two decimal places as needed.) 160 10 B O B. It is not meaningful to predict this value of y because x= 208 is not an x-value in the original data. 160 11 OC. It is not meaningful to predict this value of y because x= 208 is inside the range of the original data.

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.