One may wonder if people of similar heights tend to marry each other. For this purpose, you collect asample of newly married couples. Let X be the height of the husband in centimeters and Y the heightof the wife in centimeters. Consider the following statements:1. If every man married a woman exactly 5 centimeters shorter than him, the correlation coefficientwould be equal to -1.2. Neither the covariance nor the correlation coefficient would change if the heights weremeasured in inches rather than in centimeters.Both statements are trueOnly statement 2. is trueBoth statements are falseOnly statement 1. is 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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1. In your own words, what does it mean to have a linear correlation (Give an example of one that is NOT in the book, online or given in class.) 2. In your own words, what does it mean to have a non-linear correlation? (Give an example of one that is NOT in the book, online or given in class.) 3. Describe the error: Given: The linear correlation coefficient between scores on a math test and scores on a test of athletic ability is negative and close to zero. Conclusion: People who score high on the math test tend to score lower on the test of athletic ability.
What is the value of the linear correlation coefficient "r" for the following table of values? y 1 2 4 7
- Collect the height (in inch) and weight (in kg) of 10 of your friends and make a data table for the followings. 1. Compute correlation coefficient and make a comment. 2. Find regression lines of height on weight and weight on height. Which property is dominant? 3. Graphically find the weight of the students corresponding to the height 65 inches. Also, find the height of the students corresponding to the weight 60 kg by the graphical method.
If 8 pairs (X,Y) give the following values: = 57, Ey= 550, z.y= 3745,E² = 579, = 38993. Find the coefficient of correlation and Explain it.
For each of a number of cities across Canada, the number of people with Cantonese as a mother tongue and the number of people with Mandarin as a mother tongue were rocorded. A scatterplot of the data is shown in the figure below. The correlation between the number of Cantonese speakers in a city aud the number of Mandarin speakers is 0.980. Do you think this correlation is a reasonable summary of the relationship? Why, or why not? (a) If the two largest cities (Toronto and Vancouver) were removed, the correlation would be even higher. (b) No, because there are outliers and/or influential points. (c) Yes, because the relationship is more or less linear. (d) No, because the relationship is clearly curved. (e) Yes, because there are no influential points.
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) 0.80
Dr. Wright, a researcher at the Young County Botany Institute, reported the following correlations. The correlation between pH level of soil and tomato weight is r₁ = 0.8. The correlation between hours of sunlight and tomato weight is r2 = 0.7. According to this information, which of the following statements are true? Select all that apply. ✓Larger tomatoes result from more daily hours of sunlight. Larger tomatoes result from lower soil pH level. ✔Tomato size is related more strongly to hours of sunlight than to soil pH level. None of these are true.
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
The store manager of a business that sells jackets is curious if the weather temperature (in degrees Celsius) per day is related to the daily sales (in pesos) earned by the store. He took some random samples and recorded the temperatures and sales for the selected days, which can be found in the next slide. Calculate the correlation coefficient and interpret the result.
A survey was taken in 2018 that asked people about their saving habits. Researchers wanted to know if people who saved more also spent less. The scatterplot below shows their results when comparing two variables: the amount people reported that they put into savings each month, and the amount they reported that they spent on clothes. The researchers found the correlation coefficient for this data to be -0.239. Which of the following is true about these variables? a. There is no relationship between savings and money spent on clothes each month.b. There is a weak, positive linear relationship between savings and money spent on clothes each month.c. There is a perfect, negative linear relationship between savings and money spent on clothes each month.d. There is a weak, negative linear relationship between savings and money spent on clothes each month.
The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement

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