Candy Bar Weight, x Calories, yHershey’s Milk Chocolate®Nestle’s Crunch®Butterfinger®Baby Ruth®Almond Joy®Twix® (with caramel)Snickers®Heath® 44.2844.8461.3066.4547.3358.0061.1239.52 230230270280220280280210Source: Megan Pocius, student at Joliet Junior College(a) Draw a scatter diagram of the data, treating weight asthe independent variable.(b) What type of relation appears to exist between theweight of a candy bar and the number of calories?(c) Select two points and find a linear model that containsthe points.(d) Graph the line on the scatter diagram drawn inpart (a).(e) Use the linear model to predict the number of calories ina candy bar that weighs 62.3 grams.(f) Interpret the slope of the line found in part (c).
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.
Candy Bar Weight, x Calories, y
Hershey’s Milk Chocolate®
Nestle’s Crunch®
Butterfinger®
Baby Ruth®
Almond Joy®
Twix® (with caramel)
Snickers®
Heath®
44.28
44.84
61.30
66.45
47.33
58.00
61.12
39.52
230
230
270
280
220
280
280
210
Source: Megan Pocius, student at Joliet Junior College
(a) Draw a
the independent variable.
(b) What type of relation appears to exist between the
weight of a candy bar and the number of calories?
(c) Select two points and find a linear model that contains
the points.
(d) Graph the line on the scatter diagram drawn in
part (a).
(e) Use the linear model to predict the number of calories in
a candy bar that weighs 62.3 grams.
(f) Interpret the slope of the line found in part (c).
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