Direction: Answer the following problems.1) A study is conducted involving 10 students to investigate the association between Pre-Calculus and Basic Calculus tests. The question arises here; is there a relationship betweenthe degrees gained by the 10 students in statistics and science tests? (Use Pearson ProductCorrelation)23478 9 10StudentsPre-Calculus20 21155 629 14 1224 23 1611 201718Basic Calculus20 272512 2122 26

The provided information is Pre-Calculus (x) Basic-Calculus (y) xy x2 y2 20 20 400 400 400…

Answered: 1) A study is conducted involving 10…

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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An Economics instructor assigns a class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as life expectancy, literacy rate, etc.) for a few countries and reports to the class. Apparently, some of the classmates do not understand Statistics very well because several of their conclusions are incorrect. Explain the mistakes in comments a and b below. a) Explain the mistake in the statement "There was a very strong correlation of 1.22 between Life Expectancy and GDP" Choose the correct answer below O A. A correlation cannot be greater than 1. O B. A correlation that is greater than 1 implies that the variables are not quantitative, so the correlation cannot be interpreted. OC. A correlation that is close to 1 implies a very weak correlation. The correlation must be close to 10 for it to be interpreted as a very strong correlation. O D. A correlation that is greater than 1 implies a weak correlation, not a…
In order to compare two statistics textbooks, Mr.Marin recommends one book to one class and another book to another class. At the end of the year the classes are each examined; the results out of 100 marks are detailed below.Textbook 144 52 95 76 13 94 83 72 55 81 22 25 64 72 35 48 56 59 84 98 84 21 35 69 28Textbook 265 72 48 63 68 59 68 62 75 79 81 72 39 55 58 52 82 79 55 64 53 58 59 64 66 68 42 37(i) Calculate the mean and standard deviation for each class. (ii) Which class performed better?(iii) Which class was more consistent? (iv) Compute the coefficient of variation for each class. Comment on the results.(v) Construct a stem and leaf for each class.(vi) Compute their lower quartile, upper quartile, interquartile range and median for each class.(vii) Using a graph paper, draw a box and whisker plot for each class. Showing all parameters. Commenting on the distribution of the data set. Hence indicate whether there are outliers.
What is the most accurate interpretation of a significant correlation of rs = -.55 between annual CO2 emissions and annual average temperature (ranked from hottest year to coldest year)? Increased CO2 emissions are associated with lower annual average temperature Increased CO2 emissions are associated with higher annual average temperature Increased CO2 emissions lead to higher annual average temperature Increased CO2 emissions lead to lower annual average temperature If we conducted a study with a small group of randomly selected first- year psychology students and found a Pearson’s r of -.39 between distance from home to university (measured in km) and class attendance, what could we say about the relationship in the population? University students who live far from their homes are less likely to attend class There is no relationship between distance between home and university with class attendance University students who live far from their homes are more likely to attend…
When analyzing an association between two variables, the size of the correlation may be deceptive because of a.) a spurious association b.) range restriction c.) conflated data d.) poor statistical validity
. Dr. Hafen is doing research on the effects of study time (how many minutes students study) on test performance (their score on an exam). He hypothesizes that the amount of study time will impact an individual’s performance on the exam. Then Dr. Hafen collects data on 100 students. He collects data on their ‘study time’ and their ‘exam performance’, then runs a Pearson correlation. In your own words, please describe what Dr. Hafen’s null hypothesis would be and what Dr. Hafen’s alternative hypothesis would be. If Dr. Hafen makes a Type I error, what would that mean in the context of this study? If he makes a Type II error, what would that mean in the context of this study?
3. Some sports psychologists believe that an athlete's motivation is related to how many hours they will devote to training in a 2-week period. To see if this is true, a sports trainer measures the motivation (M) and training hours (TH) of a random sample of 8 Olympic-class athletes and obtains the following data: M TH 57 40 74 46 42 38 48 36 75 54 62 42 665 76 550 69 25 a) Is there a significant correlation between M and TH in this sample (a≤.05)? (8 points) b) If another athlete obtained an M score of 70, what would his or her predicted TH score be and what are the 90% bounds to the error of this prediction? (10 points)
State which correlation coefficient (pears, spearman, point-biased, or phi) should be used given the following information Both factors are interval or ratio scale. Both factors are dichotomous One factor is dichotomous, and the other factor is continuous Both factors are ranked
Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)
3) Over repeated samples, the sample mean is considered a random variable. Is this statement TRUE or FALSE? Select one: True False 4) If the sample correlation coefficient has a value different from zero, this automatically means that the correlation in the population is also different from zero. Is this statement correct? Explain.

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