Run a regression analysis on the following bivariate set of data with y as the response variable.х у7167.479.831.557.858.43992.328.499.855.266.563.735.24583.666.138.753.33566.750.165.84548.248.87510.556.7734459Verify that the correlation is significant at an a = 0.05. If the correlation is indeed significant, predict what value (on average) for the explanatoryvariable will give you a value of 13.5 on the response variable.What is the predicted explanatory value?15

Introduction: We have solved the problem using Excel. First, we have entered the in the two columns,…

Answered: Run a regression analysis on the…

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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OSC MA eEG The heights and weights of a sample of 11 students are: 1.36| 1.47 Height (m) h Weight |(kg) w 1.54 1.56 1.59 1.63 1.66 1.67 1.69 1.74 1.81 52 50 67 62 69 74 59 87 77 73 67 Calculate the correlation coefficient. 2. Calculate the regression line of w on h. 3. Use the regression line to estimate the weight of someone whose height is 1.6 m. 2002
Years Height (cm) 0.9 0.79 2.0 3.98 2.1 4.81 4.0 11.41 4.8 29.72 5.2 24.2 6.2 26.81 9.0 91.47 9.1 129.45 Find the correlation coefficient and coefficient of determination for the data. Assess how well the line fits the data.
o pis pe Suppose a doctor measures the height, x, and head circumference, y. of 11 children and obtains the data below. The correlation coefficient is 0.899 and the least squares regression line is y = 0.185x+ 12.276. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.4 17.1 17.2 16.9 17.4 17.1 17.1 17.3 17.3 17.3 17.4 27.75 25.75 26.75 25.75 28 26.5 25.75 26.75 27 27.25 27.25 (a) Compute the coefficient of determination, R?. R2 = % (Round to one decimal place as needed) (b) Interpret the coefficient of determination k Approximately % of the variation in (Round to one decimal place as needed.) is explained by the least-squares regression model. Enter your answer in each of the answer boxes. Save for Later DUE RTTT:DY PIVT Score: o:5SYO Tor Tv attempts 3:35 PA- a 2/22/202 Type here to search insert prt sc 4+ backsp %23 6. 8.
The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, r. Enter your answers to two decimal places. Y 580 619 510 476 590 506 550 469 450 523 470 392 500 508 440 462 600 625 530 569 410 346 430 508 Question Help: Message instructor Submit Question Chp Ce %23 7 8. 9. W <6 64
First Paired Data Set 4 10 13 11 19 21 36. Use the First Paired Data Set. Find the correlation coefficient r. A. 0.862 B. 0.943 C. 0.725 D. 0.607
èstion 1 Provide an appropriate response. In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. 173 79 122 | 105 53.5 142 | 205 85.4 522 349 Rainfall (in inches), x 15.1 12 8.7 17.7 Yield (bushels per acre), y O 0.900 O 0.981 O 0.998 49.2 618 62 818 O 0.899 A Moving to another question will save this response. Question 1 of 20>> 11:33 AM (ゆッ 5/19/2021 PrtSen Home PgUP End E D B Alt
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. At the 0.05 significance level, does the data below show significant (linear) correlation between X and Y? x y 4 29.04 5 26.4 6 29.06 7 44.22 8 35.98 9 49.64 10 46.3 11 46.46 12 50.42 13 61.78 Yes, significant correlation No
Perform rank correlation analysis on the following data set: x y -5 1.9 -4 0.9 -3.25 0.7 -2.55 -0.5 -1.85 -1.2 -0.9 -1.7 5.5511151231258E-17 0.7 0.8 1.5 1.55 1.6 2.35 -0.1 3.3 0.8 4.1 -1.1 5.1 -0.9 5.8 -0.8 6.7 0.7 What is the rank correlation coefficient? (Round to three decimal places.) What is the critical rho value at a 0.01 significance? Do we have correlation? Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
Use the given data set to complete parts (a). (Use α=0.05.) a. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.)
Can you please check my work
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Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.858 and the least squares regression line is y = 0.228x +11.187. Complete parts (a) and (b) below. Height, x 27.5 25.75 26.5 25.5 27.25 26.25 25.75 27.25 27 27.25 27 Head Circumference, y 17.4 17.2 17.2 16.9 17.6 17.1 17.1 17.4 17.4 17.3 17.3 (a) Compute the coefficient of determination, R². R² =% (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately % of the variation in (Round to one decimal place as needed.) is explained by the least-squares regression model. According to the residual plot, the linear model appears to be

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