Answered: which one is correlation coefficient

Math

Statistics

which one is correlation coefficient

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

3 -

x and

23 ; 88

76 ; 305

27 ; 105

64 ; 240

12 ; 50

51 ; 205

33 ; 120

50 ; 104

When regression analysis is performed according to the given x and y values (y = ax + b), which one is correlation coefficient

0.9291

B)	hiçbiri/none of them

-0,997

-0,6790

0,2421

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Expert Solution

Step 1

From the given sample data :

n=8 , ƩX=336 , ƩY=1217 , ƩX²=17464 , ƩY²=239135 , ƩXY=63614

Our aim is to find the correlation coefficient.

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

College Students' Part-Time Weekly Earnings (n = 5) Hours Worked (X) Weekly Pay (Y) 9 103 15 174 19 209 16 152 35 277 a) Calculate SSxx, SSyy, and SSxy. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) (b) Calculate the sample correlation coefficient. Check your work by using Excel's function =CORREL(array1, array2). (Round your answer to 4 decimal places.) (c) Find t.025 for a two-tailed test for zero correlation at α=0.05α=0.05 . (Round your answer to 3 decimal places.) (d-1) Calculate the t test statistic. (Round your answer to 3 decimal places.) (d-2) Should we reject the null hypothesis of zero correlation? (e) Use Excel's function =T.DIST.2T(t,deg_freedom) to calculate the two-tail p-value. (Round your answer to 4 decimal places.)
In the simple linear regression model, if there is a very strong correlation between the independent and dependent variables, then the correlation coefficient should be a) close to either -1 or +1 b) close to zero c) close to -1 d) close to +1 ( don't hand writing solution)
Can someone help me out with these questions.
Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?
Q5/A// Determine the correlation Company A В C coefficient for the data X 73 30 21 18 Y 7 8. 9. D/ID
State Debt and Per Capita Taxes Data for per capita state debt and per capita state tax for five randomly selected states are shown. Per capita debt 3377, 1446, 4345, 1442, 2705 Per capita tax 2432, 1860, 1535, 2147, 2376 The correlation coefficient for the data is r=-.248 and a=.05. Should regression analysis be done? The regression analysis should not be done or The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary y'= a+bx a= b= find y' when x=$1992. Round the answer to at least three decimal places, if necessary y'=
Find correlation coefficient between the exchange and expenditure from the datagiven below: Obtain the regression equation of exchange on expenditure expenses and find out theexpected exchange of a firm when expenditure is Rs. 25 lakhs. Also find coefficientof determination and interpret your result.
A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: ý=a+bx a=-1.692 b=0.117 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? O -0.649 O 1.32 O 0.649 O-1.32 (c) If a country increases its life expectancy, the happiness index will O increase O decrease (d) If the life expectancy is increased by 2.5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 75 years. Round to two decimal places.
There is a dataset of size n = 51 and is for the 50 states and the District of Columbia in the United States. The dependent variable is year 2002 birth rate per 1000 females 18 to 19 years old and independent variable is the violent crime rate (per 1000 population). A simple linear regression model is run with the results given below. What is the Pearson correlation coefficient between x and y variables? The R squared of the model? What kind of relationship there is?
For a data set of brain volumes (cm3) and IQ scores of eleven males, the linear correlation coefficient is requals 0.883.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? The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)
14.) Choose the value of the Correlation Coefficient (r) that best describes the two plots. Ploti Plot II 8. a. I: -0.96, 11: 0.22 b. 1: -0.22, I: 0,78 c. (: -0.22, : 0.99 d. 1: 0.22, (1: -0.78 e. 1: 0.55, 11: 0.21
Listed below are systolic blood pressure measurements ( in mm Hg ) from the same woman. Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 a) Find the linear coefficient correlation r. What is the critical value in this case ?? ? b) Is there sufficient evidence to conclude that there is a linear correlation between right and left arm systolic blood pressure measurements? c) Find the equation of the regression line between right and left arm systolic. d) What proportion of left arm systolic can be explained by the right arm systolic ? e) Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg.