Y2. Describe the direction and strength of the correlations from the following scatterplots. (Are theyweak, moderate, strong, or no correlation? Positive, negative, or no correlation?)XXXY

Perfect correlation: The correlation is said to be perfect if all the points fall in a straight…

Answered: 2. Describe the direction and strength…

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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A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause. If there is an underlying cause, state what the underlying cause is. If one directly causes the other, state which is the cause and which is the effect.(a) In Angela's class, the taller students got lower scores on the test.(b) As Thomas's income rose over the last 20 years so has his stress level.
A group of 20 smokers were asked for their age and the number of cigarettes they smoked in a certain time period. Let A, be the age recorded and X; the number of cigarettes for each smoker, for i = 1 to 10. The following information is also available: £4, = - 669 , Σ X -74.9 , ΣΑ34,561.0. Ex? = 468.45, EA;X; = 3492.7.
A factory sorts out the number of beverage vending machines (x) and the number of beverage cans sold (y) on each floor, as shown in the table below, and try to find the correlation coefficient.
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.
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims.
1. A medical student is studying heart rate. The student wants to know if there relationship between age and heart rate. She collects the following data from children selected at random. Heart rate Age (yrs) 92 89 90 84 79 102 108 12 86 14 a) Make a scatter plot of the data. b) Describe the relationship(positive, negative and none) you see between heart rate and age and determine the type of correlation (linear or non-linear) that exists. Relationship Туре» c) Draw a line of best fit. d) What do you think is the heart rate of a newborn baby? Justify your answer. e) What do you think is the heart rate of someone who is 20 years old? What type of prediction is this?
A student wants to compute the correlation coefficient with two data pairs. What value or values of r should he expect? A. -1 B. 1 C. 0 D.|1| Given a set of paired data (X,Y), if Y is dependent on X, then what value of a correlation coefficient wouldyou expect? A. -1 B. 1 C. 0 D.|1|
2. Consider the following examples; would you expect the correlation coefficient to be close to 1, -1, or 0 (10 points): The amount of time a dog is walked, and the number of hours the dog sleeps at night Outdoor temperature and snowfall. The length of time someone wears braces and their SAT scores. 3. The following graph represents the amount of time that someone studies for their final exam, and their final examination grade (HINT) (20 points). Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Hours Studied 4 7 11 8 10 8 Final Exam Grade 55% 72% 88% 93% 91% 84% Graph the following students as ordered pairs. Let the x-axis represent the hours studied, and the y-axis represent the students’ final exam grade. Circle the value that best represents the estimate of r: (circle one) -0.99, -0.62, -0.30, 0, 0.30, 0.75, 0.85, 0.99
Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?
Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client 1 2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent exercising per visit (hours) 2 1.5 1 2 2 0.30 Is the correlation coefficient significant? Group of answer choices No Yes Perhaps Insufficient Information to make a decision
The table shows the money earned from selling ice cream at a Galveston restaurant as it relates to the high temperature for the day. Temperature 58 61 71 78 81 85 89 96 100 (Fahrenheit) Ice Cream Sales 210 240 515 609 796 800 950 994 900 (Dollars) What does the correlation coefficient for the data indicate about the strength of the linear association between the temperature and ice cream sales in Galveston? А Strong negative correlation Weak negative correlation C Strong positive correlation Weak positive correlation
Which of the following sets of correlations shows the highest to lowest degree of relationship? A. +.70, +.15, -.10, -.85 B. -.85, +.70, -.10, +.15 C. +.70, +.15, -.85, -.10 D. -.85, +.70, +.15, -.10 E. -.10, +.15, +.70, -.85

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2. Describe the direction and strength of the correlations from the following scatterplots. (Are they weak, moderate, strong, or no correlation? Positive, negative, or no correlation?) X Y Y Y X X Y X X Y X