• Example 1: A group of teachers is interested in knowing whether a relationship exists between the average number of hours studied per week and high school cumulative grade point average (G.P.A.). The teachers obtain a random sample of students and determine the average number of hours each student studies along with the student's cumulative high school G.P.A. Construct a 95% confidence interval for the true slope of the regression line to help answer the teachers' question. Figure 10.1 presents a data table containing the average number of hours studied per week and the corresponding G.P.A for the 20 high-school students in the sample, along with a scatterplot of the data. GPA 2 1 0 Scatter Plot 000 0 2 4 6 8 10 12 Ave_Hrs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Ave Hrs 10.5 3.0 6.5 8.0 8.5 2.5 9.5 1.0 4.6 3.5 2.2 6.0 8.0 6.0 5.0 3.0 5.0 4.0 9.0 7.0 GPA 4.571 2.800 3.888 4.055 3.920 3.134 4.445 1.777 2.770 3.112 2.308 3.665 4.500 3.333 3.100 2.723 3.888 3.500 4.334 3.388 Figure 10.1 A scatterplot of the data appears roughly linear with no apparent outliers.
• Example 1: A group of teachers is interested in knowing whether a relationship exists between the average number of hours studied per week and high school cumulative grade point average (G.P.A.). The teachers obtain a random sample of students and determine the average number of hours each student studies along with the student's cumulative high school G.P.A. Construct a 95% confidence interval for the true slope of the regression line to help answer the teachers' question. Figure 10.1 presents a data table containing the average number of hours studied per week and the corresponding G.P.A for the 20 high-school students in the sample, along with a scatterplot of the data. GPA 2 1 0 Scatter Plot 000 0 2 4 6 8 10 12 Ave_Hrs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Ave Hrs 10.5 3.0 6.5 8.0 8.5 2.5 9.5 1.0 4.6 3.5 2.2 6.0 8.0 6.0 5.0 3.0 5.0 4.0 9.0 7.0 GPA 4.571 2.800 3.888 4.055 3.920 3.134 4.445 1.777 2.770 3.112 2.308 3.665 4.500 3.333 3.100 2.723 3.888 3.500 4.334 3.388 Figure 10.1 A scatterplot of the data appears roughly linear with no apparent outliers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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