Making Predictions. In problems 3 and 4, let the predictor variable x be the fir

Question

Making Predictions. In problems 3 and 4, let the predictor variable x be the first variable given. Us the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in figure 10-5, on page 559. Problem 3. (3 points) Sugar and Calories in Cereal - The author collected data from 16 cereals consisting of the sugar contents (in grams per gram of cereal) and the calories (per gram of cereal). Excel was used to find that the linear correlation is r = 0.765 and the equation of the regression line is = 3.46 + 1.01x, where x represents the sugar content. Also, the mean calorie amount is 3.76 calories per gram of cereal. What is the best predicted calorie content for a cereal with 0.40 gram of sugar per gram of cereal? Explain how you arrived at your answer. Making Predictions. In problems 3 and 4, let the predictor variable x be the first variable given. Us the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in figure 10-5, on page 559. Problem 3. (3 points) Sugar and Calories in Cereal - The author collected data from 16 cereals consisting of the sugar contents (in grams per gram of cereal) and the calories (per gram of cereal). Excel was used to find that the linear correlation is r = 0.765 and the equation of the regression line is = 3.46 + 1.01x, where x represents the sugar content. Also, the mean calorie amount is 3.76 calories per gram of cereal. What is the best predicted calorie content for a cereal with 0.40 gram of sugar per gram of cereal? Explain how you arrived at your answer.

Explanation / Answer

Since r is high, this correlation will be significant. So regression equation will be a good predictor for y values.

Hence,

Best predicted calorie content for a cereal with 0.40 gram of sugar per gram of cereal would be at x = 0.40.

y = 3.46 + 1.01(0.40)

y = 3.864

So the calorie content will be 3.864

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