Below is the time it took each of 15 students to complete a Stats test and the score that each student got on the exam. Notice, the last data pair is somewhat unusual.\[\begin{array}{c|c}x = \text{Test Time (minutes)} & y = \text{Score (out of 100)} \\\hline50 & 69 \\63 & 73 \\68 & 80 \\58 & 83 \\67 & 77 \\63 & 73 \\50 & 74 \\63 & 72 \\66 & 82 \\58 & 73 \\56 & 74 \\68 & 72 \\65 & 88 \\67 & 79 \\6 & 11 \\\end{array}\]**Tasks:**(a) Find the correlation coefficient.[ ](b) Find the critical value.[ ](c) Is there a significant correlation?- [ ] Yes- [x] No(d) Using only the first 14 data pairs, find the correlation coefficient.[ ](e) Find the critical value.[ ]

The question isabout correlation.Given :To find :a ) Correlation coefficientb ) Critical valuec )…

Answered: Below is the time it took each of 15…

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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use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? FORECAST AND ACTUAL TEMPERATURES The table lists actual high temperatures and the high temperatures that were previously forecasted for these same days. The table includes data for ten different days near the author’s home. What does the result suggest about the accuracy of five-day predicted high temperatures?
The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. number of absences x 2 5 8 6 11 4 17 10 7 final grade y 73 94 57 78 84 100 88 82 84
1. A medical student is studying heart rate. The student wants to know if there relationship between age and heart rate. She collects the following data from children selected at random. Heart rate Age (yrs) 92 89 90 84 79 102 108 12 86 14 a) Make a scatter plot of the data. b) Describe the relationship(positive, negative and none) you see between heart rate and age and determine the type of correlation (linear or non-linear) that exists. Relationship Туре» c) Draw a line of best fit. d) What do you think is the heart rate of a newborn baby? Justify your answer. e) What do you think is the heart rate of someone who is 20 years old? What type of prediction is this?
The table below shows the number of absences, x, in Statistics course class and the final exam mark, y, for 7 students in the previous semester. Find the correlation coefficient and interpret your result.
Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corresponds to the correlation coefficient. (Click on image for a larger view.) B v 1. r = -0.74 с A ✓ 2. r = -0.49 3. r = -0.97 4. r = 0.76 A B D
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…
The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, rr. Enter your answers to two decimal places. X Y 420 426 410 360 600 575 460 538 550 553 480 407 560 635 450 388 400 383 430 402 470 462 440 437 rr =
Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and teachers in the U.S. for 11 years. Apply what you have learned in the previous tab to complete this graded lab questions. 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the corelation coefficient is R and not R Teachers y Principalsx 77.8 43.7 78.4 43.8 80.8 45.0 R= 80.5 45.6, 2. Does the R value represent a positive, negative or no correlation between the salaries ol the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 10 11 81.5 45.9 84.8 48.2 12 13 87.7 49,3 3. Write the equation of the regression line for the data below. The equation is y= 14 91.6 51.3 52.9 Teachers y 15 16 95.7 54.4 COD 54.2 =D0.5873x-2.0s07o R=0.995, 17 95.7 4. Use the regression equation that you found in exercise #3 to predict the average annual salary…
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calculate the correlation coefficient to three decimal places, x is 4,5,6,7,8,9, y, 6.05,8.64,3.93,4.92,2.31,4
The following table gives the number of Canadian geese breeding pairs in Northern Quebec. Get the line of best fit and answer the questions below. Year (t = 0 is 1988) Number of breeding pairs 0 115 5 95 6 40 7 35 8 45 9 60 your answers to the nearest hundredth. The correlation coefficient was______ This means that there is a strong______ correlation between the year and the number of geese breeding pairs.
The following table shows the approximate number of wireless telephone subscriptions in recent years.

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