The following table contains the number of grams of water and the number of grams of carbohydrate for a 100g sample from a random selection of raw foods. Use the data to answer the following questions. Water 83.93 80.76 87.66 85.20 72.85 84.61 83.81 Carbs 15.25 16.55 11.10 13.01 24.27 14.13 15.11 a) Use your calculator to find the equation of the regression line in which the x is the number of grams of water, and y is the number of grams of carbohydrates. Use correct notation, and round the slope and y-intercept to three decimal places. b) What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 75g of water? Explain how you predicted the value and why that prediction is the best-predicted value. Give your answer in terms of the original problem. What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 50g of water? Explain how you predicted the value and why that prediction is the best-predicted value. Give your answer in terms of the original problem.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following table contains the number of grams of water and the number of grams of carbohydrate for a 100g sample from a random selection of raw foods. Use the data to answer the following questions.
Water 83.93 80.76 87.66 85.20 72.85 84.61 83.81
Carbs 15.25 16.55 11.10 13.01 24.27 14.13 15.11
a) Use your calculator to find the equation of the regression line in which the x is the number of grams of water, and y is the number of grams of carbohydrates. Use correct notation, and round the slope and y-intercept to three decimal places.
b) What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 75g of water? Explain how you predicted the value and why that prediction is the best-predicted
value. Give your answer in terms of the original problem.
What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 50g of water? Explain how you predicted the value and why that prediction is the best-predicted value. Give your answer in terms of the original problem.
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