EBK SURVEY OF MATHEMATICS WITH APPLICAT
10th Edition
ISBN: 9780134112183
Author: RUNDE
Publisher: YUZU
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Textbook Question
Chapter 12.6, Problem 31E
In Exercises 27-34, determine the equation of the line of best fit from the data indicated in the exercise. Round both m and b to the nearest hundredth.
31. Exercise 23
23.
x | y |
5.3 | 10.3 |
4.7 | 9.6 |
8.4 | 12.5 |
12.7 | 16.2 |
4.9 | 9.8 |
Table 12.9 Critical Values* for the
n | α = 0.05 | α = 0.01 |
4 | 0.950 | 0.990 |
5 | 0.878 | 0.959 |
6 | 0.811 | 0.917 |
7 | 0.754 | 0.875 |
8 | 0.707 | 0.834 |
9 | 0.666 | 0.798 |
10 | 0.632 | 0.765 |
11 | 0.602 | 0.735 |
12 | 0.576 | 0.708 |
13 | 0.553 | 0.684 |
14 | 0.532 | 0.661 |
15 | 0.514 | 0.641 |
16 | 0.497 | 0.623 |
17 | 0.482 | 0.606 |
18 | 0.468 | 0.590 |
19 | 0.456 | 0.575 |
20 | 0.444 | 0.561 |
22 | 0.423 | 0.537 |
27 | 0.381 | 0.487 |
32 | 0.349 | 0.449 |
37 | 0.325 | 0.418 |
42 | 0.304 | 0.393 |
47 | 0.288 | 0.372 |
52 | 0.273 | 0.354 |
62 | 0.250 | 0.325 |
72 | 0.232 | 0.302 |
82 | 0.217 | 0.283 |
92 | 0.205 | 0.267 |
102 | 0.195 | 0.254 |
The derivation of this table is beyond the scope of this text. It shows the critical values of the Pearson correlation coefficient. |
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Check out a sample textbook solutionStudents have asked these similar questions
1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of
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a. r= 0.83, y= -2.1 + 1.4x
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b. r= -0.31, y = 7.8 – 0.5x
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Scatterplot 1
Scatterplot 2
Scatterplot 3
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Chapter 12 Solutions
EBK SURVEY OF MATHEMATICS WITH APPLICAT
Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...
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Calculate the mean,...Ch. 12.3 - Purchases Matthew purchased some items at Staples...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - Prob. 20ECh. 12.4 - a. Multiplying Each Number Pick any five numbers....Ch. 12.4 - Waiting in Line Consider the following...Ch. 12.4 - Height and Weight Distribution The chart shown...Ch. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Without actually doing the calculations, decide...Ch. 12.4 - Without actually doing the calculations, decide...Ch. 12.4 - Prob. 28ECh. 12.4 - Patricia teaches two statistics classes, one in...Ch. 12.4 - Prob. 30ECh. 12.4 - Oil Change Jiffy Lube has franchises in two...Ch. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 20ECh. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 27ECh. 12.5 - Prob. 28ECh. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 32ECh. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.5 - Prob. 40ECh. 12.5 - Heights of Gifts in Exercises 41 and 42, assume...Ch. 12.5 - Heights of Gifts in Exercises 41 and 42, assume...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - Prob. 46ECh. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - Prob. 66ECh. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Weight Loss A weight-loss clinic guarantees that...Ch. 12.5 - Battery Warranty The warranty on a car battery is...Ch. 12.5 - Prob. 75ECh. 12.5 - Prob. 76ECh. 12.5 - Consider the following normal curve, representing...Ch. 12.5 - Consider the following two normal curves. a. Do...Ch. 12.5 - In a distribution that is skewed to the right,...Ch. 12.5 - In a distribution skewed to the left, which has...Ch. 12.5 - List three populations other than those given in...Ch. 12.5 - List three populations other than those given in...Ch. 12.5 - Salesperson Promotion The owner at Kims Home...Ch. 12.5 - Chebyshevs Theorem How can you determine whether a...Ch. 12.5 - Test Scores Obtain a set of test your instructor....Ch. 12.5 - Determine a value of z such that z 0 and 97.5% of...Ch. 12.5 - Prob. 87ECh. 12.5 - Prob. 88ECh. 12.5 - Prob. 89ECh. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - Prob. 6ECh. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - Prob. 8ECh. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 14ECh. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 16ECh. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 18ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 20ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 22ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 24ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 29ECh. 12.6 - Prob. 30ECh. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 32ECh. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 34ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 38ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 40ECh. 12.6 - Prob. 41ECh. 12.6 - Prob. 42ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 44ECh. 12.6 - Prob. 45ECh. 12.6 - Prob. 46ECh. 12.6 - Calculating a Correlation Coefficient a. Select a...Ch. 12.6 - CPI Use the following table CPI represents...Ch. 12.6 - Prob. 49ECh. 12 - a. What is a population? b. What is a sample?Ch. 12 - What is a random sample?Ch. 12 - In Exercises 3 and 4, tell what possible misuses...Ch. 12 - In Exercises 3 and 4, tell what possible misuses...Ch. 12 - Netflix Subscriptions in the United States In...Ch. 12 - Consider the following set of data. a. Construct a...Ch. 12 - Average Monthly High Temperature Consider the...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Prob. 24RECh. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Prob. 29RECh. 12 - Daily Sales For six weeks, Ace Hardware records...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Men's Weight In Exercises 3138, use the data on...Ch. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Prob. 36RECh. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 44RECh. 12 - Prob. 45RECh. 12 - Prob. 46RECh. 12 - Presidential Children For Exercises 39-50, use the...Ch. 12 - Prob. 48RECh. 12 - Prob. 49RECh. 12 - Prob. 50RECh. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 7-9, use the set of data 7. a...Ch. 12 - In Exercises 7-9, use the set of data 8. a...Ch. 12 - In Exercises 7-9, use the set of data 9. a...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Time Spent Studying Six students provided the...
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- 7:26 PM Wed Jun 1 24 of 33 Ⓒ chrome://external-file ACTIVITY SHEET Q4M3 Do the following: a. Identify the independent variable and the dependent variable. b. Construct a scatter plot. c. Determine the direction of the straight line that the data points seem to follow. d. Determine the strength of correlation between the two variables. 1. The table below shows the number of hours spent in studying and their scores on a test. X 1 2 3 4 5 6 7 Y 6 9 10 12 14 17 20 2. The table below shows the number of absences and their corresponding final grades. X 2 0 4 10 8 6 6 Y 92 90 86 75 79 80 81 "You can do it" 3% 1 Open in...arrow_forwardPart 1 of 4 there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? 8.3 D Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.05. Is 8.6 195 7.2 7.7 9.8 9.3 Overhead Width 187 Weight 119 165 246 196 Click here to view a table of critical values for the correlation coefficient Construct a scatterplot. Choose the correct graph below. Oc. OD. OA. OB. Aweight (kg 300 ES Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- ---- 100- 100.1 100- 100 10 width (cm) 10 10 width (cm) width (om) width (cm)arrow_forwardSuppose that you run a correlation and find the correlation coefficient is -0.589 and the regression 6.1x +58.29. The center of your x-data was 5.9 and the center of your y-data equation is y was 22.4. If the critical value is .396, use the appropriate method to predict the y value when a is 8.2 Submit Questionarrow_forward
- Find R, R^2 and P Valuearrow_forwardThe correlation between agarwood formation size and the injection volume of fungal spores was statistically significant (p < 0.05). The regressed equation is y = 10.2 – 2.3x and the coefficient of determination (R2) is 0.76. What is the correlation coefficient (r) value for this relationship? a. r = – 0.76 b. r = 0.76 c. r = – 0.87 d. r = 0.87arrow_forwardestion 3 of 38 university and gathers their freshman year GPA data and the high school SAI score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x 1504.291401 Sx = 105.782904 %3D y freshman year GPA y = 3.240805 Sy = 0.441205 r = 0.506701 slope 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. tems of use Thelp about us குசங் careers 2:30 PM 10/24/20 o耳 国 @ hparrow_forward
- Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. The correlation coefficient is found to be 0.557, which implies that the coefficient of determination is . ., and that O A. 0.7463, about 74.6% of the variation in Y is explained by the estimated line of best fit. O B. 55.7%, the time (in hours) spent studying has a positively correlation with the grade obtained in the exam. O C. 0.310, about 31% of the variation in Y is explained by the estimated line of best fit. O D. 0.557, about 55,7% of the variation in Y is explained by the estimated line of best fit.arrow_forwardFor a data set of brain volumes (cm") and 1Q scores of ten males, the linear correlation coefficient is r= 0.708. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? E Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma - X separate answers as needed.) Table of critical values of r Number of Pairs of Data n Critical Value of r 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 6 8 9 10 11 12 0.576 Print Donearrow_forwardIdentify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer belowarrow_forward
- 1:49 AA O www-awn.aleks.com : d on the same scale from a population, O REGRESSION AND CORRELATION Linear relationship and the.. y u V 1.0 3.0 1.0 7.2 11 10 10 9- 84 2.0 | 4.4 2.0 9.0 3.0 | 3.0 3.0 | 7.0 4.0 4.9 4.0 5.6 6- 5.0 4.3 5.0 8.1 4. 4- 6.0 | 7.0 6.0 4.8 2. 7.0 | 6.1 7.0 4.3 8.0 7.8 8.0 | 7.1 9.0 | 7.0 Figure 1 9.0 6.0 Figure 2 10.0 8.3 10.0 4.3 t mn w 1.0 10.0 1 10- x 9- 1.0 3.8 11 2.0 | 5.8 10- 94 2.0 9.0 3.0 | 8.1 3.0 | 8.0 7 4.0 7.0 4.0 | 9.2 6- 5. 5.0 10.3 4. 5.0 6.0 4- 3 3 6.0 9.7 6.0 5.0 2. 7.0 | 9.8 7.0 | 4.0 8.0 | 7.9 8.0 3.0 9.0 2.0 Figure 4 |10.0 1.0 9.0 | 6.6 Figure 3 10.0 3.7 Answer the following questions. The same response answer for more than one question. 1. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? Choose one 2. In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one 3. Which data set indicates the strongest negative linear Choose one relationship…arrow_forwardUse the given data set to complete parts (a) through (c) below. (Use a=0.05.) 8 6.77 13 12.74 O y 10 7.47 9 7.11 Click here to view a table of critical values for the correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.). 11 7.81 14 8.85 6 6.08 OA. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OB There is sufficient evidence to support the claim of a linear correlation between the two variables. 4 5.38 12 8.16 7 6.42 5 5.73 Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.arrow_forward7arrow_forward
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