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Problem: Guessing a regression line. In the Correlation and Regression applet, click on the scatterplot to create a group of 15 to 20 points from lower left to upper right with a clear positive straight-line pattern (correlation around 0.7). Click the "Draw line" button and use the mouse (right-click and drag) to draw a line through the middle of the cloud of points from lower left to upper right. Note the "thermometer" above the plot. The red portion is the sum of the squared vertical distances from the points in the plot to the least-squares line. The green portion is the "extra" sum of squares for your line-it shows by how much your line misses the smallest possible sum of squares.
Required:
(a) You drew a line by eye through the middle of the pattern. Yet the right-hand part of the bar is probably almost entirely green. What does that tell you?
(b) Now click the "Show least-squares line" box. Is the slope of the least-squares line smaller (the new line is less steep) or larger (line is steeper) than that of your line? If you repeat this exercise several times, you will consistently get the same result. The least-squares line minimizes the vertical distances of the points from the line. It is not the line through the "middle" of the cloud of points. This is one reason why it is hard to draw a good regression line by eye. The following exercises ask you to answer questions from data without having the details outlined for you. The exercise statements give you the State step of the four-step process. In your work, follow the Plan, Solve, and Conclude steps of the process, described on page 55.
q1. calculate sp the sum of products of deviations for the following scores. note both means are decimal values
Super Markets, Inc. is considering expanding into the Scottsdale, Arizona, area. Ms. Luann Miller, Director of Planning, must present an analysis of the proposed expansion to the operating committee of the board of directors
researchers conducted a survey of parents of 66 kindergarten children. the parents were asked whether they played games
Scenario: A college is in desperate need of an automated test scoring system complete solution correct answer key. Using C++, write a scoring system for the college and score the tests of at least five students.
The data are number of trials to learn to go left at the first turn in a maze for each of their 20 rats. Answer each of the four questions and don't forget to include a verbal statement of your interpretation of the outcomes.
Is there sufficient evidence to conclude that the mean number of transactions per customer is more than 10 per month? Could the advertising agency say the mean is more than 9 per month?
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
a company is sued for job discrimination because only 19 of the newly hired candidates were minorities when 27 of all
a new extended-life light bulb has an average service life of 770 hours with a standard deviation of 51 hours. if the
Find the critical value for different types of sample size and level of significance:
A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then the number of errors made is a Poisson random variable with mean 2.6; if typed by B, then the number of errors is a Poisson random variable
in this exercise practice some techniques and procedures related to regression analysis using data more or less from
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