Problems: 1. The following data were collected to determine the relationship between high school rank in class and grade-point average at the end of the freshman year in college. a. Find the equation of the regression line to predict the grade-point average of college freshmen from high school rank in class. b. Predict the grade-point average for entering freshmen who ranks in the third decile of his graduating class. GRADE POINT DECILE RANK AVERAGE 1.93 3 1.72 2.87 1.34 2.54 1.40 1.45 1.72 3.80 2.30 1.81 2.33 2.53 2.04 3.20 1 4 2 8 4 8 1 5 1 1 2 2

Problems: 1. The following data were collected to determine the relationship between high school rank in class and grade-point average at the end of the freshman year in college. a. Find the equation of the regression line to predict the grade-point average of college freshmen from high school rank in class. b. Predict the grade-point average for entering freshmen who ranks in the third decile of his graduating class. GRADE POINT DECILE RANK AVERAGE 1.93 3 1.72 2.87 1.34 2.54 1.40 1.45 1.72 3.80 2.30 1.81 2.33 2.53 2.04 3.20 1 4 2 8 4 8 1 5 1 1 2 2

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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For each of the following data sets: plot the data, determine the regression equation, and add the graph of the regression to the graph.
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1.
A researcher that there is a linear association between the level of potassium content (y) in milligrams and the amount of fiber (x) in grams in cereal. The regression line for the data is computed to y=37+28x rate. It was also computed that r=.59 A. What does the value . 59 tell you? B. What does the value 37 tell you? C. What does the value 28 tell you ? 2. For the line in question 1 what percentage of variability in potassium can be explained by variability in fiber?
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Consider the following passage: I ran a regression, with many variables to predict the result of another variable which was the murder rate. One can see that lots of things, can cause the murder rate to increase or decrease. I tried to account for all the important factors, and those factors are the SAT scores, unemployment rate, and international migration per 1,000. The SAT score is, average combined total score participants did on the SAT exam. The unemployment rate is, "a measure of the prevalence of unemployment and it is calculated as a percentage by dividing the number of unemployed individuals by all individuals currently in the labor force." (Wikipedia) International migration per 1,000 is, the number of people who come into a state from other countries per 1,000 people who live in the state. After I run the regression I will look at the t scores and p values and I should hopefully conclude that international migration does not cause crime. Which writing mistakes, if any, did…
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Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?