Run a regression analysis on the following bivariate set of data with y as the response variable. x y 19.4 22.8 17.1 22.5 11.3 23.4 45.5 27 17.3 28.4 31.1 23.9 17.2 24.7 28.9 22.2 6.1 24.9 4.1 21.5 8 22.6 10.9 21.6 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = %

Run a regression analysis on the following bivariate set of data with y as the response variable. x y 19.4 22.8 17.1 22.5 11.3 23.4 45.5 27 17.3 28.4 31.1 23.9 17.2 24.7 28.9 22.2 6.1 24.9 4.1 21.5 8 22.6 10.9 21.6 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = %

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

x	y
19.4	22.8
17.1	22.5
11.3	23.4
45.5	27
17.3	28.4
31.1	23.9
17.2	24.7
28.9	22.2
6.1	24.9
4.1	21.5
8	22.6
10.9	21.6

Similar questions

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.
Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=
Here is a bivariate data set. y 30.4 1.4 28.5 37.7 34.4 46.8 47.9 29.8 23.3 6.3 46.3 32.9 56.6 64.6 42.1 35.1 39.7 41.4 58.5 69.9 Find the correlation coefficient and report it accurate to three decimal places. r =
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.02α=0.02. You have the following bivariate data set. x y 25.2 64.3 15.3 79.6 39 49.8 30 75.1 14.8 82.2 15.7 69.9 4.3 92.5 17.9 84.4 13.4 77.6 18.4 74.4 25 78.1 24.4 65 23.7 69.7 10.9 89.1 31.3 65.3 20.6 82.4 20.4 81.1 29 68.2 13.9 92 8.7 88.4 5.3 93.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)What is the p-value for this correlation coefficient? p-value =
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 43.5 15.5 31.7 -8 50 4.3 48.9 9.4 64.2 17.8 40.6 4.2 69.9 17.3 65.8 30.7 74.1 29.3 65.5 43.8 58.5 34.2 64.9 27.8 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r = Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.
Here is a bivariate data set. x y 51.3 19.3 11.7 115.1 43.8 41.8 -2.9 173.8 27.7 109.3 50.9 63.7 40.6 76.9 40.1 46.2 41.6 63.2 26.4 43.5 32.3 66.8 51.6 14.9 36.9 42.9 Find the correlation coefficient and report it accurate to three decimal places.r = Incorrect (NOT 0.110)What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = Incorrect% (NOT 1.21%)
c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. O A. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. O B. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. OC. The scatterplot reveals a distinct pattern that is not a straight-line pattern. O D. The scatterplot does not reveal a distinct pattern.
Use the given data set to complete parts (a) through (c) below. (Use a =0.05.) 10 8 13 9. 11 14 4 12 7 y 9.15 8.14 8.74 8.77 9.25 8.11 6.12 3.09 9.14 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. Ay 10- Ay 10- 本Y 10- y 10- 8- 8- 6- 8- 8- 6- 6- 6- 4- 4- 4 4. 2- 2- 2- 2- 0- 4 8 12 16 4 8 12 16 4 18 12 16 4 8. 12 16 b. 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.)
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of alpha equals 0.05. a. The linear correlation coefficient is r equals (Round to three decimal places as needed.) b. The test statistic is t equals (Round to two decimal places as needed.) c. The P-value is (Round to three decimal places as needed.)
R =?