[CORRELATION ANALYSISDetermine the relationship between the number of hours students spent per week on studying the lessons on themodules on Statistics and Probability and their obtained grades for the grading period. A random sample of 10 studentsis selected. The data obtained are shown in the table. Calculate the Pearson's sample correlation coefficient andinterpret the result.Number ofhours studyingGrade (y)x²y²Studentxyper week (x)49628338147954883873901778582Exy=Computation:Interpretation:68910Σχ=22Σy=Ex²=Ey²=

Answered: Image /qna-images/answer/fb16f6c9-9be0-4c58-bd8b-7ea269476627.jpg

Answered: CORRELATION ANALYSIS Determine the…

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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A pediatrician wants to determine the relation that may exist between a child's height and head circumference She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the 27.5 data shown in the table. Complete parts (a) through (e) below. Click here to see the Table of Critical Values for Correlation Coefficient. Height (in.) Head Circumference (in.) O 17.4 25.75 26.75 25 17.1 17.1 16.9 27.5 17.5 26.75 17.2 17.1 25.75 26.75 17.3 (a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. Choose the corect answer below O The explanatory variable is head circumference and the response vanable is height O The explanatory variable is height and the response variable is head circumference (b) Draw a scatter diagram. Choose the correct graph below. O D. OA. B. Click to select your answer(s). VI 9:31 acer -> esc & backspace @ 2$ % 7 8 1 r…
Weight (lbs.) 173 184 194 214 168 220 188 188 207 167 217 Systolic Blood Pressure 132 143 153 162 154 168 137 149 159 128 1 1. The sample correlation coefficient is _____________
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a
The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. 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? Weight (lb) Highway (mpg) Which scatterplot below shows the data? A. 40- 20- 2000 5000 2795 3225 3470 32 34 28 Weight (lb) B. 40- 20+ 2000 D 5000 Weight (lb) 4085 4155 2225 25 23 38 C. ● 20+ 2000 ● ● ● ● 5000 Weight (lb) Is there a linear relationship between weight and highway mileage? A. No, there appears to be no relationship. B. Yes, as the weight increases the highway mileage decreases. C. No, there appears to be a relationship, but it is not linear. D. Yes, as the weight increases the highway mileage increases. 40- 20- 2000 3440 29 5000 Weight (lb)
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. Suppose a random sample of employees gave the following information. X 12 8 14 32 73 y 50 45 35 28 16 Would you say the correlation is low, moderate, or strong? Positive or negative? If necessary, draw a scatter diagram of the given data. O strong and negative O moderate and positive strong and positive O low and negative
Which correlation coefficient best represents data that has a strong negative correlation? -0.95 O 0.05 0.05 O 0.95
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Question content area bottom Part 1 Choose the correct answer below. A. The coefficient of determination is 0.321. 32.1% of the variation is explained by the linear correlation, and 67.9% is explained by other factors. B. The coefficient of determination is 0.679. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. C. The coefficient of determination is 0.321. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. D. The coefficient of determination is 0.679. 32.1% of the variation is explained by the linear correlation, and 67.9% is…
The data below are the final scores of 10 randomly selected statistics students and the number of hours they studied for the final. What is the best-predicted value for y given x = 6? Assume that the variables x and y have a significant correlation. hours x: 3,5,2,8,2,4,4,5,6,3 scores y: 65,80,60,88,66,78,85,90,90,71 A.84 B.86 C.85 D.87
A food truck owner recorded the temperature at noon, in degrees Fahrenheit, and the number of bowls of soup sold during the lunch hour for a random sample of 5 days. The data are shown in the following table. Temperature (degrees Fahrenheit) 57 75 43 68 67 Number sold 17 12 20 8 13 The mean temperature of the sample is 62 degrees Fahrenheit, and the mean number sold is 14. What is the correlation between the temperature and the number sold? A -0.85 B -0.68 0.68 D 0.73 E 0.85
Experimental or Observational: A group of students is interested in knowing if there is a correlation between the amount of sleep kids get and their performance on the SAT. They have 20 kids sleep for 5 hours, 20 kids sleep for 6 hours, 20 kids sleep for 7 hours, and 20 kids sleep for 8 hours. They get their SAT scores and analyze the data. ______________
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 6. 109 10 114 14 139 18 142 22 139 26 132 30 154 Но: = 0 На: р Find the Linear Correlation Coefficient r = Find the p-value p-value = %3D The p-value is Less than (or equal to) a Greater than a The p-value leads to a decision to Reject Ho Аcсept Ho Do Not Reject Ho The conclusion is There is a significant linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.
Find the correlation coefficient for the data set below. x 3, 5, 6, 7, 9 y 5, 1, 9, 7, 13

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