HomeworkLib
Question

Some X, Y data are positively correlated with r = .70. Also: bar x = 10...

Some X, Y data are positively correlated with r = .70.

Also: bar x = 10

bar y = 7

sx = 2

sy = 4

a. Find the equation for the regression line.

b. Predict Y if X = 9

c. Find the coefficient of determination.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Regression equation of y on x is given by :

a) So here the regession line is :

  

b) So , if x=9 , from the above equation :

c) Coefficient of determination is given by :

%

0 0
Add a comment
Know the answer?
Add Answer to:
Some X, Y data are positively correlated with r = .70. Also: bar x = 10...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Some X, Y data are positively correlated with r = 0.5. Also:   x̄ = 4 Sx...

    Some X, Y data are positively correlated with r = 0.5. Also:   x̄ = 4 Sx = 2 ȳ = 6 Sy = 3 a. Find the equation for the regression line b. Predict Y for X = 8 c. Find the coefficient of determination and interpret its meaning.

  • Given a correlation coefficient (r) of 0.7216, mean of x-bar = 140.5, standard deviation of x...

    Given a correlation coefficient (r) of 0.7216, mean of x-bar = 140.5, standard deviation of x (sx) = 6.4, mean of y-bar = 128.3, and standard deviation of y (sy) = 8.2. Find the slope of the regression line. Find the y-intercept of the line. Write the equation of the line.

  • we have a bivariate data set and compute the following: r=.7, sy=9, sx=5, x-bar=13.5, y=51.6. We...

    we have a bivariate data set and compute the following: r=.7, sy=9, sx=5, x-bar=13.5, y=51.6. We want to know the equation of the least-squares regression line, but we don't have a calculator. Determine the equation of the least-squares regression line from the given data. a. y=46.34+.39x b. y=-51.52+1.26x c. y=34.59+1.26x d. y=-6.624+.39x e. you can't compute the regression line without knowing the original data.

  • Information for Questions 10 - 11: Although U.S. citizens value the freedoms and rights of democracy,...

    Information for Questions 10 - 11: Although U.S. citizens value the freedoms and rights of democracy, they often do not vote. Data on x: the number of U.S. citizens eligible to vote (in millions) and y: the number of U.S. citizens who actually did vote (also in millions) in all the Presidential Elections since 1964 entered into MINITAB The following statistics were calculated: x-bar = 173.3 sx= 41.3 y-bar = 95.1 sy = 20.8 r = .958 Create the regression...

  • Suppose our sample data consists of the six (x,y) pairs {(2,5), (4,6), (5,5), (7,10), (8,9), (10,13)}....

    Suppose our sample data consists of the six (x,y) pairs {(2,5), (4,6), (5,5), (7,10), (8,9), (10,13)}. a. Find SST. b. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and 10. c. Find SSE. d. Use the results from part (a) and (c) to calculate the coefficient of determination.

  • A sample of 10 adult men gave the following data on their heights and weights. Height...

    A sample of 10 adult men gave the following data on their heights and weights. Height (inches) X 62 62 63 65 66 67 68 68 70 72 Weight (pounds) Y 120 140 130 150 142 130 135 175 149 168 a. Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. b. State the equation of...

  • Given that x = 3.5000, sx = 2.5884, y = 4.1000, sy = 1.9657, and r...

    Given that x = 3.5000, sx = 2.5884, y = 4.1000, sy = 1.9657, and r = -0.9552, determine the least-squares regression line. y = ____ x + (_____) A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist be (b) Given that x = 3.5000, Sy = 2.5884, y = 4.1000, sy = 1.9657, and r = -0.9552, det (c) Graph the least squares regression line on the...

  • A statistical program is recommended. Consider the following data for two variables, x and y. x...

    A statistical program is recommended. Consider the following data for two variables, x and y. x 9 32 18 15 26 y 11 19 20 16 22 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) ŷ = Comment on the adequacy of this equation for predicting y. (Use α = 0.05.) The high p-value and low coefficient of determination...

  • Complete parts​ (a) through​ (h) for the data below. x- 40, 50, 60, 70, 80 y-62,...

    Complete parts​ (a) through​ (h) for the data below. x- 40, 50, 60, 70, 80 y-62, 58, 55, 47, 33 B) Find the equation of the line containing the points (50, 58) and (80, 33) y=__x+(__) D) By hand, determine the least-squares regression line The equation of the​ least-squares regression line is given by ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0 where b1 equals r times StartFraction s Subscript y Over s Subscript x EndFractionb1=r•sysx is...

  • Consider the following data for two variables, x and y. (a) Develop an estimated regression equation...

    Consider the following data for two variables, x and y. (a) Develop an estimated regression equation for the data of the form ý = bo + 5,x. (Round bo to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) The high p-value and low coefficient of determination indicate that the equation is inadequate. The high p-value and high coefficient of determination indicate that the equation is...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT