Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 16.1, Problem 1E

Consider the following data for two variables, x and y.

Chapter 16.1, Problem 1E, Consider the following data for two variables, x and y.

Develop an estimated regression equation

  1. a. Develop an estimated regression equation for the data of the form y ^ = b 0 + b 1 x .
  2. b. Using the results from part (a), test for a significant relationship between x and y; use α = .05.
  3. c. Develop a scatter diagram for the data. Does the scatter diagram suggest an estimated regression equation of the form y ^ = b 0 + b 1 x + b 2 x 2 ? Explain.
  4. d. Develop an estimated regression equation for the data of the form y ^ = b 0 + b 1 x + b 2 x 2 .
  5. e. Refer to part (d). Is the relationship between x, x2, and y significant? Use α = .05.
  6. f. Predict the value of y when x = 25.
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You spilled water on your calculations from (a) and can't remember what your estimated regression parameters are. But you do have two possible estimated errors for each of your initial four observations:
The table below gives the number of hours seven randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 1 2 3 3.5 4 4.5 5 Midterm Grades 60 66 73 76 78 84 90 Table Copy Data Step 1 of 6:  Find the estimated slope. Round your answer to three decimal places.
The table below gives the number of hours seven randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 11 1.51.5 2.52.5 33 44 4.54.5 55 Midterm Grades 6666 6969 7575 7979 9090 9595 9898   Find the estimated slope. Round your answer to three decimal places. Find the estimated y-intercept. Round your answer to three decimal places. Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.…

Chapter 16 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

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