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 33 72 y 40 35 30 26 17 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (average number of employees)" with values from 3 to 72 and a vertical axis labeled "y (average cost as percentage)" with values from 17 to 40. The scatter diagram has 5 points. A pattern goes up and right from (13, 17) to (72, 40). A scatter diagram has a horizontal axis labeled "x (average number of employees)" with values from 3 to 72 and a vertical axis labeled "y (average cost as percentage)" with values from 17 to 40. The scatter diagram has 5 points. A pattern goes down and right from (3, 40) to (72, 17). A scatter diagram has a horizontal axis labeled "x (average number of employees)" with values from 3 to 72 and a vertical axis labeled "y (average cost as percentage)" with values from 17 to 40. The scatter diagram has 5 points. A pattern goes up and right becoming less steep from (3, 17) to (72, 40). A scatter diagram has a horizontal axis labeled "x (average number of employees)" with values from 3 to 72 and a vertical axis labeled "y (average cost as percentage)" with values from 17 to 40. The scatter diagram has 5 points. A pattern goes down and right from (13, 40) to (72, 17). (b) Would you say the correlation is low, moderate, or strong? positive or negative? low and positivestrong and positive moderate and negativestrong and negativemoderate and positivelow and negative (c)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.1: Stem-and-leaf Plots And Histograms

Problem 2E

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Related questions

Question

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	33	72
y	40	35	30	26	17

(a)

Make a scatter diagram of the data and visualize the line you think best fits the data.

A scatter diagram has a horizontal axis labeled "x (average number of employees)" with values from 3 to 72 and a vertical axis labeled "y (average cost as percentage)" with values from 17 to 40. The scatter diagram has 5 points. A pattern goes up and right from (13, 17) to (72, 40).

(b)

Would you say the correlation is low, moderate, or strong? positive or negative?

low and positivestrong and positive moderate and negativestrong and negativemoderate and positivelow and negative

(c)

Use a calculator to verify that Σx = 130, Σx² = 6556, Σy = 148, Σy² = 4690, and Σxy = 2897. Compute r. (Round your answer to four 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 remain constant as x increases. Given our value of r, y should tend to increase as x increases.Given our value of r, y should tend to decrease as x increases.