Consider the following pairs of m -1 7 y 0 1 8 a. Construct a scatterplot of these data. p. What does the scatterplot suggest about the relation- ship between x and y? . Given that Sxx 43.4286, SSyy = 3.7143, calculate the least squares estimates of ху 39.8571, ỹ = 3.4286, and x 43 45 33 54
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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a. Construct a scatterplot of these data.
b. What does the scatterplot suggest about the relation-
ship between x and y?
c. Given that SSxx
= 3.4286,
43.4286, SSy = 39.8571, ỹ
and x = 3.7143, calculate the least squares estimates of
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Bo and B1.
d. Plot the least squares line on your scatterplot. Does the
line appear to fit the data well? Explain.
on the plot.
e. Interpret the y-intercept and slope of the least squares
line. Over what range of x are these interpretations
meaningful?
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