A sixth-grade teacher believes that there is a relationship between his students’ IQ scores (y) and the numbers of hours (x) they spend watching television each week. The following table shows a random sample of 7 sixth-grade students. y 125 116 97 114 85 107 105 x 5 10 30 16 41 28 21 Which one is the explanatory variable? And which one is the response variable? Assuming that a linear relationship exists between the IQ score of a student and the number of hours he/she spends watching television each week, use computer software to find the least squares line relating y to x. Give a scatterplot along with the least-squares regression line. (Just copy the graph from the monitor onto the paper. You don’t need to print out the graph.) Then interpret the value of the slope of the least squares line in the above context.
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.
A sixth-grade teacher believes that there is a relationship between his students’ IQ
scores (y) and the numbers of hours (x) they spend watching television each week. The
following table shows a random sample of 7 sixth-grade students.
y 125 116 97 114 85 107 105
x 5 10 30 16 41 28 21
Which one is the explanatory variable? And which one is the response variable?
Assuming that a linear relationship exists between the IQ score of a student and the
number of hours he/she spends watching television each week, use computer software to
find the least squares line relating y to x. Give a
regression line. (Just copy the graph from the monitor onto the paper. You don’t need
to print out the graph.) Then interpret the value of the slope of the least squares line in
the above context.
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