One professor who teaches statistics gave studentsone homework assignment. He asked students to finda two-variable data set and compute the Pearsoncorrelation coefficient. One student found a data set:one variable is students' midterm test score in anintroductory microeconomics class and totalobservations are 45 students; while the other onevariable is also students' midterm test score in anotherintroductory microeconomics class and totalobservations are 57 students. Both of these twoclasses were taught by the same instructor in spring2018. Does this student's data set make sense? Why orwhy not? Discuss and explain your reasons. You mustprovide your statistical analysis and reasons.

Correlation:Correlation determines the size and direction of the relationship between the two…

Answered: One professor who teaches statistics…

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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The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 12 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day 1 2 3 4 5 6 7 8. 9. 10 11 12 Store 1 951 547 437 682 547 729 488 776 461 815 859 518 Store 2 989 599 500 680 451 528 452 741 446 758 960. 421 Difference (Store 1 − Store 2) −38 −52 63 2 96 201. 36 35 15 57 −101 97 Send data to calculator Send data to Excel (a)Are the two samples of daily sales amounts independent or paired…
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For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of twelve types of automobile, the linear correlation coefficient is found and the P-value is 0.009. Write a statement that interprets the P-value and includes a conclusion about linear correlation.
C. Give an example for each of the following: a. Two variables in which you have enough reasons to explain their cause-and-effect relationship. State the independent (x) and dependent variable (y). Provide also description of the cause-and-effect relationship. b. Two variables from which a considerable possible nature of linear correlation may exist. Explain briefly the possible nature of the relationship. State both variables and give a short description of their relationship.
Find an interesting instance where two variables are strongly correlated, but share no causal link. Explain the situation, describe the variables, and explain why it doesn't make sense for the data to be correlated.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results. Smoke = Yes Smoke = No Sample Size 60 90 Gender = M Gender = F Reference: 3-15-No Tech 9 9 51 81 Describe how to use the data to construct a bootstrap distribution. What value should be recorded for each of the bootstrap samples.
Over the course of a year, you find a strong, positive correlation between ice cream sales and pool drownings in a medium-sized city. The mayor decides that to prevent drownings, ice cream will be banned within the city limits. However, you show the mayor that after controlling for the high temperature of each day, the correlation between ice cream sales and number of drownings drops to zero, because that relationship was actually: Group of answer choices direct. interactive. mediating. spurious.
If it was found that two variables have a statistically significant relationship, we conclude that one variable affects the changes in the other variable without further information. This statement is (select one) True False
A researcher measures GPA and height for a group of high school students. What kind of correlation is likely to be obtained for these two variables?
Find the line of best fit for the ordered pairs 11, 52 and13, 82. What is the correlation coefficient for these data?Why is this result reasonable?
Your state is going to vote on becoming a "right to work" state in the next, and you wonder if there is there a relationship between salary levels and unionization. You find data on salary from the U.S. Census, which is split into three groups: Low; Moderate/About Average, and; High. To see if salary, measured in this way, is associated with unionization you find a variable in the same dataset called "UNION", which has two categories: the respondent has a unionized job and the respondent does not have a unionized job. Because you want to know if you should favor or oppose becoming a "right to work" state, you test these two variables to see if there is an association between salary level and unionized labor. What type of hypothesis test is most appropriate?
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.

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