MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Suppose a researcher is interested in examining the relationship between a person 's age and whether he or she likes the taste of cilantro. She collects a sample of n- 10 people and asks them whether they like the taste of cilantro. The following table summarizes the results. Does not like Cilantro Does like Cilantro 18 years old 2 18+ years old 3 The researcher wants to calculate the correlation between a person 's age and whether he or she likes the taste of cilantro. To do so, you (the researcher) must first create a table of the data by converting each variable to a numerical value. Assign a 0 to "< 18 years old" and 1 to "18+ years old." Then assign O to "does not like the taste of cilantro" and a 1 to " likes the taste of cilantro." Complete the top two rows of the your (the researcher's) data. Age (0 is <18; 1 is 18+) Likes the taste of Cilantro (0 is no; 1 is yes) a) ob) 1 a) Ob) 1 a) ob) 1 a) Ob) 1 1 1 1 1 1 1 1 The phi-coefficient is a) -0.09 b) -0.16 c) -0.20 d) 0.80arrow_forward3. 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.arrow_forwardMatch each scatterplot shown below with one of the four specified correlations. O O ∞oo O oooº 0000 8 9088 08 8 a. -0.89 b. -0.12 c. 0.55 d. 0.98arrow_forward
- 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, 0.99arrow_forwardThe correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744arrow_forwardJim 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?arrow_forward
- 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, -.85arrow_forwardThere are two underlying assets in an asset pool. Each has a 2.8 percentchanges of failing. You own an asset that will pay $1 unless both assets fail. Graph theprobability of your asset not paying as the correlation between the two input assets runsfrom 0.5 to 0.98. For what levels of correlation is the output asset investment gradearrow_forwardConsider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a sample of 5 items sold through an auction. Price in Dollars 29 35 41 44 47 Number of Bids 10 11 12 13 14 Step 2 of 3: Estimate the correlation in words: positive, negative, no correlation. Copy Dataarrow_forward
- Suppose we measure the heights (in inches) and weights (in pounds) of 100 randomly chosen college students. Furthermore suppose we calculate the correlation to be 0.6. If we change the measurements to centimeters and kilograms, what happens to the value of the correlation? Note: There are 2.54 centimeters in an inch, and there are 2.2 pounds in a kilogram. Group of answer choices: A. The correlation increases by a factor of 2.54/2.2 B. The correlation is still 0.6. C. The correlation decreases by a factor of 2.2. D. The correlation increases by a factor of 2.54.arrow_forwardListed are 4 correlations. Put them in order showing the highest to lowest degree of relationship: +0.08 -0.27 +0.99 -0.48arrow_forward
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