MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A correlation coefficient of 0.961 would mean that the values of x increase as the values of y decrease
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- Customers at a large department store rated their satisfaction with their purchases, on a scale from 1 (least satisfied) to 10 (most satisfied). The cost of their purchases was also recorded. To three decimal places, determine the correlation coefficient between rating and purchase amount spent. Then describe the strength and direction of the relationship.arrow_forwardIf you have a correlation (r=.90), the coefficient of determination would be:arrow_forwardA pediatrician wants to determine the relation that exists between a child's height (x) and head circumference (y). She randomly selects 11 children from her practice and measures their height and head circumference in inches. She finds that the correlation is 0.477 and the regression equation is y = 0.149x + 8.15 What proportion of the variation in head circumference can be explained by the variation in the values of height? % Report answer as a percentage accurate to one decimal place.arrow_forward
- An indication of no linear relationship between two variables would be a coefficient of Select one: a. Determination equal to 1 b. Determination equal to −1 c. Correlation of 0 d. Correlation equal to −1 e. Both A and Barrow_forwardWould A be the answer?arrow_forwardFor each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5arrow_forward
- 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 ofr would increase. The value of r would not change. The value of r would change to -0.83. The value ofr could increase or decrease, depending of the strength of the new relationship.arrow_forwardExplain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two variables is (a) perfect positive, (b) perfect Negative, (c) zero?arrow_forwardGive an example of two variables that you would expect to have a correlation close to or equal to -1. Give an example of two variables that you would expect to have a correlation close to or equal to 0. Remember that survey question you wrote? Take the class responses to your survey as data related to the one variable of your question. Now, take the list of responses from the survey question that one of your classmates wrote. Write down both lists of data. (If one sample size happens to be different from the other, cut the larger sample size down to that of the smaller sample size.) Calculate the correlation between the two variables. Describe the linear relationship between these two variables. (data for number 3) How many cars have you had so far in your lifetime? 0,1,1,1,2,2,2,2,3,3,3,3,4,4,5,6,6,7,10. How many days per week do you exercise? 0,0,0,1,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6arrow_forward
- Use the following to answer the question: ˆy=−4x+10.3 with R2=35%. Which best describes the correlation? Weak negative linear relationship Weak positive linear relationship Moderate negative linear relationship No linear relationship Moderate positive linear relationshiparrow_forwardA 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.arrow_forwardA study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.98 and the p-value for correlation was 0.0005. Then a person who does not eat red meat will live longer than a person who has an 18 ounce steak every day. true O falsearrow_forward
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