Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. 1. r = 0 2. r = -.97 3. r = -1 4. r = .1 A. a perfect negative relationship between x and y B. no relationship between x andy C. a strong negative relationship between x and y D. a weak positive relationship between x and y

Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. 1. r = 0 2. r = -.97 3. r = -1 4. r = .1 A. a perfect negative relationship between x and y B. no relationship between x andy C. a strong negative relationship between x and y D. a weak positive relationship between x and y

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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Q-1. You are given the following data for variables x and y: X Y 3.0 1.5 2.0 0.5 2.5 1.0 3.0 1.8 2.5 1.2 4.0 2.2 1.5 0.4 1.0 0.3 2.0 1.3 2.5 1.0 b. Compute the correlation coefficient for these sample data. Indicate what the correlation coefficient measures.
Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
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.
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 21 19 27 20 58 31 77 31 47 24 50 26 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho
Which of the following correlation coefficients indicate the strongest relationship between two variables? A .20 B .87 C .80 D -.95
Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r= 1 2. r = -1 3. r=-.15 4. r = .1 A. a weak positive relationship between x and y B. a weak negative relationship between x and y C. a perfect negative relationship between x and y D. a perfect positive relationship between x and y
e. Compute the covariance and correlation coefficient r between the right tire pressure. f. How do you know the relationship between pressure in the left and right tires is positive. g. What value would a correlation coefficient (r) be close to if there was no (linear) relationship between the 2 tire pressures?
Bt.20.
Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 12- 3- :: 3 6 12 b. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. O A. There appears to be a linear correlation because the points form an obvious pattern. B. There does not appear to be a linear correlation because the points do not form a line. O C. There does not appear to be a linear correlation because the points form an obvious pattern. O D. There appears to be a linear correlation because the points form a line. c. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation…
1. Calculate the correlation coefficient. 2. What do these data indicate about the height of the initial drop of a roller coaster and the duration of the ride? O A. Generally, rides on coasters with a greater initial drop tend to last somewhat shorter, because the correlation indicates a moderate association.O B. Generally, rides on coasters with a greater initial drop tend to last longer, because the correlation indicates a strong association.O C. Generally, rides on qpasters with a greater initial drop tend to last somewhat longer, because the correlation indicates a moderate association.O D. Generally, rides on coasters with a greater initial drop tend to last somewhat longer, because the correlation indicates a weak association.
16. In comparing the relationship between rainfall and hot dog sales, a student finds the correlation to be r = -0.56. What is the best description of the relationship between these two sets of data? Group of answer choices Negative and Strong Positive and Weak Negative and Moderate Positive and Moderate