Fiting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. ŷ, = 17-0.7X, a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 17, implies that when the value of X is 0, the mean value of Y is 17. OB. The Y-intercept, bo = 17, implies that the average value of Y is 17. OC. The Y-intercept, bo = - 0.7, implies that when the value of X is 0, the mean value of Y is - 0.7. D. The Y-intercept, b, = 17, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 17 units. b. Interpret the meaning of the slope, b, . Choose the correct answer below. O A. The slope, b, = - 0.7, implies that the average value of Y is - 0.7. O B. The slope, b, = -0.7, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.7 units. OC. The slope, b, = 17, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 17 units. OD. The slope, b, = 0.7, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.7 units. c. Predict the mean value of Y for X = 5. 9, =O Type an integer or a decimal.)
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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