MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

8.

 

A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between the explanatory variable \( x = \) study time per week (average number of hours) to predict the response variable \( y = \) college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. | Student | Study Time | GPA | |---------|------------|-----| | 1 | 14 | 2.8 | | 2 | 5 | 2.6 | | 3 | 12 | 3.3 | | 4 | 6 | 2.8 | | 5 | 20 | 3.9 | | 6 | 15 | 3.4 | | 7 | 11 | 3.1 | | 8 | 26 | 3.7 | a. Use technology to obtain a scatterplot and the correlation coefficient. Use these to describe the relationship. Which scatterplot below correctly shows the data? - Four scatterplots (A, B, C, D) are displayed. Each scatterplot has "GPA" on the y-axis and "Study Time" on the x-axis. Blue dots are plotted to represent data points. The correct scatterplot is labeled with a checkmark at option C. This scatterplot aligns with the table data. The scatterplot shows a positive relationship between the two variables. The correlation coefficient \( r = \) (box for input) shows a positive correlation between the two variables, with longer study times associated with higher GPAs. (Round to two decimal places as needed.)
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Transcribed Image Text:A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between the explanatory variable \( x = \) study time per week (average number of hours) to predict the response variable \( y = \) college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. | Student | Study Time | GPA | |---------|------------|-----| | 1 | 14 | 2.8 | | 2 | 5 | 2.6 | | 3 | 12 | 3.3 | | 4 | 6 | 2.8 | | 5 | 20 | 3.9 | | 6 | 15 | 3.4 | | 7 | 11 | 3.1 | | 8 | 26 | 3.7 | a. Use technology to obtain a scatterplot and the correlation coefficient. Use these to describe the relationship. Which scatterplot below correctly shows the data? - Four scatterplots (A, B, C, D) are displayed. Each scatterplot has "GPA" on the y-axis and "Study Time" on the x-axis. Blue dots are plotted to represent data points. The correct scatterplot is labeled with a checkmark at option C. This scatterplot aligns with the table data. The scatterplot shows a positive relationship between the two variables. The correlation coefficient \( r = \) (box for input) shows a positive correlation between the two variables, with longer study times associated with higher GPAs. (Round to two decimal places as needed.)
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