Which of the following is true about the correlation coefficient?A) It ranges from 0 to 1.B) It indicates the strength and direction of a linear relationship between two variables.C) It can be greater than 1.D) It is used to measure the central tendency of data.

Step 1:The correct answer is B) "It indicates the strength and direction of a linear relationship…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) 400 305 378 433 458 478 316 352 419 334 412 317 388 436 490 476 325 366 433 342 Ο Α. Ho: ρ 0 В. Но: Р3D0 H1:p0 Construct a scatterplot. Choose the correct graph below. O A. В. С. D. Ay 500- Ay Ay 500- 500- 500- Lo Lo 400- 400- 400- 400- ol to X 300- 300 300+ 300 300+ 300 300- 300 -> 400 500 400 500 400 500 400 500 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) of of of LoP d | lol
Which of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
Which of the following correlation (r) show a negative association between 2 variables? 0.2 -1.4 0.4 -0.8
Amount of fertilizer (x) in pounds for each plot: 12, 5, 15, 17, 20, 14: Bushels of tomatoes harvested (y) 24 22 31 33 21 28: Round all values to three decimal places. a) Find the equation of the regression line (line of best fit). b) Calculate the correlation coefficient (r). c) Determine if there is a significant linear correlation. d) If the linear relation is significant, predict how many bushels of tomatoes would be harvested if 22 pounds of fertilizer was used.

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Which of the following is true about the correlation coefficient? A) It ranges from 0 to 1. B) It indicates the strength and direction of a linear relationship between two variables. C) It can be greater than 1. D) It is used to measure the central tendency of data.