Question

If you were to develop a regression line to predict y by x, what value would...

If you were to develop a regression line to predict y by x, what value would the coefficient of determination have?

x 213 196 184 202 221 247

y 76 65 62 68 71 75

(Do not round the intermediate values. Round your answer to 3 decimal places.)

Coefficient of determination =

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
213 76 16188 45369 5776
196 65 12740 38416 4225
184 62 11408 33856 3844
202 68 13736 40804 4624
221 71 15691 48841 5041
247 75 18525 61009 5625
n 6
sum(XY) 88288.00
sum(X) 1263.00
sum(Y) 417.00
sum(X^2) 268295.00
sum(Y^2) 29135.00
Numerator 3057.00
Denominator 3667.09
r 0.8336
r square 0.6949
Xbar(mean) 210.5000
Ybar(mean) 69.5000
SD(X) 20.1391
SD(Y) 5.0580
b 0.2094
a 25.4278

Coefficient of determination = r 2 = 0.695

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use StatKey or other technology to find the regression line to predict Y from X using...
Use StatKey or other technology to find the regression line to predict Y from X using the following data. X 6 10 4 14 12 Y 3.5 6 3.5 12 11.5 Click here to access StatKey. Round your answers to three decimal places. The regression equation is...
A business statistics professor would like to develop a regression model to predict the final exam...
A business statistics professor would like to develop a regression model to predict the final exam scores for students based on their current GPAs, the number of hours they studied for the exam, the number of times they were absent during the semester, and their genders. The data for these variables are given in the accompanying table. Complete parts a through d below. Score   GPA   Hours   Absences   Gender 87   3.75   2.0   0   Female 77   3.20   4.5   3   Male 82   3.16  ...
Regression (with provided table) x y x-xmean (x-xmean)2 y-ymean (y-ymean)2 (x-xmean) (y-ymean) 4 80 -0.33 0.11...
Regression (with provided table) x y x-xmean (x-xmean)2 y-ymean (y-ymean)2 (x-xmean) (y-ymean) 4 80 -0.33 0.11 1 1 -0.33 7 92 2.67 7.11 13 169 34.67 1 52 -3.33 11.11 -27 729 90.00 5 76 0.67 0.44 -3 9 -2.00 8 106 3.67 13.44 27 729 99.00 5 100 0.67 0.44 21 441 14.00 2 69 -2.33 5.44 -10 100 23.33 4 71 -0.33 0.11 -8 64 2.67 3 65 -1.33 1.78 -14 196 18.67 SUM 39 711 40 2438...
Study the following Minitab output from a regression analysis to predict y from x. a. What...
Study the following Minitab output from a regression analysis to predict y from x. a. What is the equation of the regression model? b. What is the meaning of the coefficient of x? c. What is the result of the test of the slope of the regression model? Let α = .10.Why is the t ratio negative? d. Comment on r2 and the standard error of the estimate. e. Comment on the relationship of the F value to the t...
Determine the equation of the regression line for the following data, and compute the residuals. x...
Determine the equation of the regression line for the following data, and compute the residuals. x 16 8 19 13 6 y 46 37 56 43 21 Do not round the intermediate values. (Round your answers to 3 decimal places.) y^= ??? + ( ???)x Do not round the intermediate values. (Round your answers to 3 decimal places.) x y Residuals 16 46 8 37 19 56 13 43 6 21
Determine the equation of the regression line for the following data, and compute the residuals. x...
Determine the equation of the regression line for the following data, and compute the residuals. x 15 9 18 13 5 y 48 38 56 44 24 Do not round the intermediate values. (Round your answers to 3 decimal places.) y^= +( )x Do not round the intermediate values. (Round your answers to 3 decimal places.) x y Residuals 15 48 9 38 18 56 13 44 5 24
A researcher wants to predict the finish position ( y) using the start position (x) in...
A researcher wants to predict the finish position ( y) using the start position (x) in a car race. For 42 drivers in a second NASCAR race held in 1997, the summary of the sample data is given below. x y mean 25.5 25.5 Standard deviation 12.27 12.27 Correlation .285 (a).Calculate a regression equation with Y predicted by X. Show your (b).Use the equation of the fitted line to predict Y when X is 5 . (c). Find the coefficient...
Test the slope of the regression line for the following data. Use α=.01. x 140 120...
Test the slope of the regression line for the following data. Use α=.01. x 140 120 103 92 62 30 24 y 24 29 45 70 88 112 128 (Do not round the intermediate values. Round your answer to 2 decimal places.) Observed t = Fail to reject null hypothesis or reject null hypothesis
A regression was run to determine if there is a relationship between the happiness index (y)...
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: y=a+bx a=-1.921 b=0.058 r2=0.753424 r=0.868 (a) Write the equation of the Least Squares Regression line of the form y= + x (b) If a country increases its life expectancy, the happiness index will increase decrease (c) If the life expectancy is increased by 3 years in a certain...
Fit a regression line to the data shown in the​ chart, and find the coefficient of...
Fit a regression line to the data shown in the​ chart, and find the coefficient of correlation for the line. ​year, X 0​ (1900) 2​ (1920) 4​ (1940) 6​ (1960) 8​ (1980) life​ expectancy, y 49.8 years 52.1 years 53.7 years 54.9 years 55.9 years Use the regression line to predict life expectancy in the year 2020​, where x is the number of decades after 1900. Regression line y=0.750x + 50.28 The coefficient of correlation is ? ​(Round to three...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT