3. Is a college student's freshman GPA a good predictor for the student's GPA at graduation? Toinvestigate this question, thirty students were randomly selected. The data below represents theirGPA at the end of their freshman year and at graduation.GraduationFreshmanGraduationFreshmanGPAFreshmanGraduationGPAGPAGPAGPAGPA2.322.493.863.38UR 3.122.363.152.973.051.282.641.983.051.883.261.792.90.982.281.672.781.452.7ROL3.048.SV3.93.251.541.983.853.222.882.883.284.3.92.503.083.052.98is 2.883.022.082.283.172.881.422.983.052.383.853.053.82.23.482.683.923.282.52.9a. Which variable is the independent variable?b. Which variable is the dependent variable?rae o imlougai sieb odreall .Smdonc. Is a linear model appropriate? If so, justify. If not, what type of model, if any, would be mostappropriate?anil nolestan

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3. Is a college student's freshman GPA a good predictor for the student's GPA at graduation? To investigate this question, thirty students were randomly selected. The data below represents their GPA at the end of their freshman year and at graduation. Graduation GPA Freshman Graduation Freshman Graduation Freshman GPA GPA GPA GPA GPA 2.32 2.49 3.86 3.38 R 3.12 2.36 3.15 2.97 3.05 1.28 2.64 1.98 3.05 1.88 3.26 1.79 2.9 2.28 1.67 2.78 1.45 2.7 0.98 a3.04 3.25 1.54 1.98 3.9 3.85 3.22 2.88 2.88 3.28 3.9 alte 2.88 1.42 2.50 3.08 3.05 2.98 93.02 2.08 2.28 3.17 2.88 2.98 3.05 2.38 3.85 3.05 3.8 2.2 3.48 2.68 3.92 3.28 2.5 2.9 a. Which variable is the independent variable? b. Which variable is the dependent variable? c. Is a linear model appropriate? If so, justify. If not, what type of model, if any, would be most appropriate?

3. Is a college student's freshman GPA a good predictor for the student's GPA at graduation? To investigate this question, thirty students were randomly selected. The data below represents their GPA at the end of their freshman year and at graduation. Graduation GPA Freshman Graduation Freshman Graduation Freshman GPA GPA GPA GPA GPA 2.32 2.49 3.86 3.38 R 3.12 2.36 3.15 2.97 3.05 1.28 2.64 1.98 3.05 1.88 3.26 1.79 2.9 2.28 1.67 2.78 1.45 2.7 0.98 a3.04 3.25 1.54 1.98 3.9 3.85 3.22 2.88 2.88 3.28 3.9 alte 2.88 1.42 2.50 3.08 3.05 2.98 93.02 2.08 2.28 3.17 2.88 2.98 3.05 2.38 3.85 3.05 3.8 2.2 3.48 2.68 3.92 3.28 2.5 2.9 a. Which variable is the independent variable? b. Which variable is the dependent variable? c. Is a linear model appropriate? If so, justify. If not, what type of model, if any, would be most appropriate?

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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Concept explainers

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.

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C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. HS GPA STA GPA Student 1 HS GPA STAGPA Student 21 2.9 2.5 3.6 3.4 2 3.4 3.1 3.0 22 3.4 4.0 1.7 3 3.1 23 2.9 2.9 1.7 3.0 3.2 3.3 4 24 3.5 5 3.4 25 4.0 3.6 3.6 3.0 26 3.6 3.8 3.2 3.9 3.1 27 8. 4.0 3.9 28 3.4 3.6 3.2 9. 3.0 3.0 29 3.7 10 2.9 2.0 3.0 30 4.0 3.3 4.0 3.2 11 3.3 31 12 3.6 3.8 32 3.7 3.2 3.4 3.0 13 3.7 3.9 33 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 3.7 2.2 16 2.9 2.5 36 3.8 17 2.8 2.1 37 2.9 18 3.8 1.7 3.5 38 3.6 3.5 3.6 19 3.7 39 3.6 20 3.9 3.0 40 3.1 3.6 How confident should St. Mary's be regarding the accuracy of their predictions? Why?
C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. HS GPA STA GPA Student 1 HS GPA STAGPA Student 21 2.9 2.5 3.6 3.4 2 3.4 3.1 3.0 22 3.4 4.0 1.7 3 3.1 23 2.9 2.9 1.7 3.0 3.2 3.3 4 24 3.5 5 3.4 25 4.0 3.6 3.6 3.0 26 3.6 3.8 3.2 3.9 3.1 27 8. 4.0 3.9 28 3.4 3.6 3.2 9. 3.0 3.0 29 3.7 10 2.9 2.0 3.0 30 4.0 3.3 4.0 3.2 11 3.3 31 12 3.6 3.8 32 3.7 3.2 3.4 3.0 13 3.7 3.9 33 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 3.7 2.2 16 2.9 2.5 36 3.8 17 2.8 2.1 37 2.9 18 3.8 1.7 3.5 38 3.6 3.5 3.6 19 3.7 39 3.6 20 3.9 3.0 40 3.1 3.6 Is high school GPA a good predictor of STA GPA? Why? What STA GPA would you predict for a student with a high school GPA of 3.75? How you would make the prediction.