The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute Time (minutes), x Well-Being Index Score, y 15 30 40 60 84 105 D 69.0 67.8 66.3 65.5 63.9 62.6 60.3 Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For an index score of zero, the commute time is predicted to be minutes (Round to three decimal places as needed.) O B. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) O C. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) D. For every unit increase in commute time, the index score falls by , on average. (Round to three decimal places as needed.) O E. It is not appropriate to interpret the y-intercept because a commute time of zero minutes does not make sense and the value of zero minutes is much smaller than those observed in the data set (c) Predict the well-being index of a person whose commute time is 25 minutes. Click to select your answer(s).
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.
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