The coefficient of rank correlation of the marks obtained by 10 students in statisticsand accountancy was found to be 0.8. It was later discovered that the difference inranks in the two subjects obtained by one of the students was wrongly taken as 7instead of 9. Find the correct coefficient of rank correlation.Ques.5From the following data, compute the rank correlation.X8268756168738568Y8171716862698070Ques.6 Difference between Correlation and Regression.Ques.7Find the two regression equation of X on Y and Y on X from the following data:X :10 12 16 11 15 14 20 22Y: 15 182823 14 20 17 25Ques.8After investigation it has been found the demand for automobiles in a city dependsmainly, if not entirely, upon the number of families residing in that city. Below are thegiven figures for the sales of automobiles in the five cities for the year 2019 and thenumber of families residing in those cities.CityNo. of Families (in lakhs): X Sale of automobiles (in '000): Y7025.2BelagaviBangalore7528.6Hubli8030.2Kalaburagi6022.3Mangalore9035.4Fit a linear regression equation of Y on X by the least square method and estimate thesales for the year 2020 for the city Belagavi which is estimated to have 100 lakhfamilies assuming that the same relationship holds true.

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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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We made a survey with the number of people in a household and the number of times they get sick throughout the year. In a household, 3 people get sick once, 4 people get sick twice, 2 people get sick three times and 1 person gets sick 4 times. 1) Give the correlation coefficient, proper interpretation of it, and explain the relevance to the topic
If the coefficient of determination is 0.5625 then calculate the correlation coeffcien
2. Suppose that it was definitively proved that there exists a positive correlation between children playing more violent video games and committing more violent acts in real life. That is, the more hours a child spends playing violent video games, the more likely he is to commit a violent act. Would this prove that violent video games cause children to become more violent? Explain.
Major League Baseball (MLB) consists of 30 The earned run average, ERA, is a statistic used to measure a pitcher's (the person who throws the ball to the person trying to hit the ball) effectiveness. The lower the ERA, the more effective the pitcher is. Statisticians are trying to show there is a correlation between the team’s ERA and the number of wins. The data on the spreadsheet is from all the teams in the 2021 regular season. Find the equation for the regression line for this data. Find the correlation coefficient and R2. State the Null and Alternate Hypothesis. State Decision Rule and Critical Value at the 5% significance level (think about whether this should be a one or two tailed test and which test statistic needs to be calculated). Compute the test statistic and p-value. What is your decision concerning Null? What does that mean? If the ERA were 4.5, what is the predicted number of wins (ŷ) using the regression line? ERA to wins in 2021 (n = 30)…
One professor who teaches statistics gave students one homework assignment. He asked students to find a two-variable data set and compute the Pearson correlation coefficient. One student found a data set: one variable is students' midterm test score in an introductory microeconomics class and total observations are 45 students; while the other one variable is also students' midterm test score in another introductory microeconomics class and total observations are 57 students. Both of these two classes were taught by the same instructor in spring 2018. Does this student's data set make sense? Why or why not? Discuss and explain your reasons. You must provide your statistical analysis and reasons.
What would you conclude if 8 pairs of data produce a linear correlation coefficient of r = – 0.608 if the significance level is 0.01. Must show critical value and decision before writing the conclusion.
What would you conclude if 17 pairs of data produce a linear correlation coefficient of r = 0.456 if the significance level is 0.05. Must show critical value and decision before writing the conclusion.

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