From the following given sets of observations find the coefficient of correlations:(a)x | Y(b)Y698510250708710948Explain why you are not surprised if you findr=+1 or-1. If another pair of values be added to (a)or (b), would you still expect r = +1 or -1.

Given the sets of observations and using the observations we have to find the coefficient of…

Answered: From the following given sets of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
For 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 5
A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
Here are several scatterplots. The calculated correlations are -0.977, 0.006, -0.487, and 0.777. Which is which? (a) (b) Match each scatterplot with its calculated correlation. (a) (b) (c) (c) (d) (d) 口ロ口口

The strength of the correlation is indicated by a number value and the closer that value is to zero, the weaker the correlation. O True O False
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From the following given sets of observations find the coefficient of correlations: (a) x Y (b) Y 69 85 102 50 70 87 109 48 Explain why you are not surprised if you find r=+1 or-1. If another pair of values be added to (2) or (b), would you still expect r = +1 or -1.