Question
Don’t use excel

3. X and Y are 2 random variables described by the following regression model: The following random sample of 3 is drawn: i (x,Y) 2 (5,12) 3 (12,20) a. Calculate b, what is the meaning of the number you calculated for ? c. Write down the sample regression line. d. Is it appropriate to use the sample regression line to predict the value of Y when X-10? If your answer is no, why is it inappropriate? If your answer is yes, what is the regressions prediction for the value of Y when X= 10? e. Find e f. Draw a sketch of the sample regression line and put in 3 dots representing the 3 sample observations. In the same graph, draw 3 lines representing ei, e2 and e
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution-

After running the regression analysis in the excel, we obtain the following regression output-

SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.951612903 Adjusted R Square0.811134235 Standard Error 4.839354796

A. Slope = 1.90323

B. It means that when value of X increases by 1, then value of Y increases by 1.90323

C. Regression equation is-

Y = -1.419 + 1.90323 * X

D. Yes it would be appropriate when X=10 to be calculated using model.

When X = 10, then Y = -1.419 + 1.90323 * 10

= 17.6133

E. e1 = Actual value - predicted value

= -2 - ( -1.419 + 1.90323 * 1)

= -2.484

Answers

TY!

Add a comment
Know the answer?
Add Answer to:
Don’t use excel 3. X and Y are 2 random variables described by the following regression...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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
  • Given are five observations for two variables, x and y. xi 1 2 3 4 5...

    Given are five observations for two variables, x and y. xi 1 2 3 4 5 У|4751216 c. Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal) d. Use the estimated regression equation to predict the value of y when x- 4 (to 1 decimal)

  • 11. (5 points) Answer the following questions on regression. X versus Y 45 3 15 ....

    11. (5 points) Answer the following questions on regression. X versus Y 45 3 15 . 0 0 1.5 4.5 (1) (1 points) For the given data (shown above), draw two possible linear regression lines. (2) (1 point) Between the two regression lines you draw, which one is better? Why? (3) (1 point) Which of the following offsets do we use in linear regression's least square line fit? Circle the one (either vertical offsets or perpendicular offsets). 2.--- m. vertical...

  • Data on the fuel consumption ?y of a car at various speeds ?x is given. Fuel...

    Data on the fuel consumption ?y of a car at various speeds ?x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ?̂ =55.3286−0.02286?y^=55.3286−0.02286x Using this equation, we can add the residuals to the original data. Speed 1010 2020 3030 4040 5050 6060 7070 8080 Fuel 38.138.1 54.054.0 68.468.4 63.663.6 60.560.5 55.455.4 50.650.6 43.843.8 Residual −17.00−17.00 −0.87−0.87 13.7613.76 9.199.19 6.316.31 1.441.44...

  • Given are five observations for two variables, x and y. xi 1 2 3 4 5...

    Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 5 10 14 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.

  • 16. Twenty-six observations are made for the random variables X and Y. Use the sums given...

    16. Twenty-six observations are made for the random variables X and Y. Use the sums given below in answering the questions. Sxx = 591 Syy = 6600 Sxy = 1558 a. The coefficient of X is for the regression equation where Y is regressed on X. b. Find the test statistic and P-value for the hypothesis test. Ho: B = 0 H1: BE 0 Test Statistic: t = P-value:

  • 2.3*) Graph the following observations of x and y on graph paper. X 12 3 4...

    2.3*) Graph the following observations of x and y on graph paper. X 12 3 4 5 6 la 10 8 55 23 bole (a) Using a ruler, draw a line that fits through the data. Measure the slope and intercept of the line you have drawn. (b) Use formulas (2.7) and (2.8) to compute, using only a hand calculator, the least squares estimates of the slope and the intercept. Plot this line on your graph. (c) Obtain the sample...

  • please help! Following is a simple linear regression model: y = a + A + &...

    please help! Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...

  • Please answer all parts, use question #2 to solve #3. 2. For a random sample of...

    Please answer all parts, use question #2 to solve #3. 2. For a random sample of size n = 25, the correlation is r = 0.31 for normal random variables X and Y. Answer the questions for the hypothesis test. Use a level of significance of a = 0.08. Ho: p= 0 H1: p0 a. The critical value is Z = b. The test statistic is Z = C. The p-value is d. The hypothesis (should, should not) be rejected....

  • Given are five observations for two variables, 3 and y. 24 1 2 3 5 4...

    Given are five observations for two variables, 3 and y. 24 1 2 3 5 4 7 5 11 15 d. Develop the estimated regression equation by computing the values of bo and bi (to 1 decimals). Ý e. Use the estimated regression equation to predict the value of y when x = 5 (to 1 decimals). >

  • Given are five observations for two variables, x and y. xi 1 2 3 4 5...

    Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 7 8 11 14 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 What does the scatter diagram indicate about the relationship between the two variables? SelectThere appears to be a linear relationship between x and yThere appears to be a nonlinear relationship between x and yItem 2 Try to...

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
ADVERTISEMENT