Question

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

2 8 6 11 13

a) Develop the estimated regression equation by computing the values of b0 and b1 using b1 =

Σ(xix)(yiy)
Σ(xix)2

and b0 = yb1x.

ŷ =?

b) Use the estimated regression equation to predict the value of y when

x = 2.

Homework Answers

Answer #1

The statistical software output for this problem is:

Hence,

a) Regression equation:

y = 0.5 + 2.5x

b) Estimated regression value = 0.5 + 2.5*2 = 5.5

Know the answer?
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
Similar 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 yi 4 6 6 11 15 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. What does the scatter diagram indicate about the relationship between the two variables? Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal). ŷ = + x Use the estimated regression equation to...
Given are five observations for two variables, x and y. X: 1 2 3 4 5...
Given are five observations for two variables, x and y. X: 1 2 3 4 5 Y: 4 5 5 11 13 a. Try to approximate the relationship between x and y by drawing a straight line through the data. b. Develop the estimated regression equation by computing the values of b0 and b1 (to 1 decimals). y= _____ + ______x c. Use the estimated regression equation to predict the value of y when x=4 (to 1 decimals). y=_____
Given are five observations collected in a regression study on two variables. xi 2 6 9...
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 9 18 8 25 21 A. Develop the estimated regression equation for these data. B.Use the estimated regression equation to predict the value of y when x = 13.
Given are five observations collected in a regression study on two variables. xi 2   6 9...
Given are five observations collected in a regression study on two variables. xi 2   6 9 13 20 yi 7 18 9 26 23 Which of the following scatter diagrams accurately represents the data? Scatter diagram #1 Scatter diagram #2 Scatter diagram #3 SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 Compute b0 and b1 (to 1 decimal). b1 b0 Complete the estimated regression equation (to 1 decimal). =  +  x Use the estimated regression equation to predict the value of y...
Given are five observations collected in a regression study on two variables. xi 2   6 9...
Given are five observations collected in a regression study on two variables. xi 2   6 9 13 20 yi 7 18 9 26 23 Which of the following scatter diagrams accurately represents the data? Scatter diagram #1 Scatter diagram #2 Scatter diagram #3 SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1   Compute b0 and b1 (to 1 decimal). b1    b0    Complete the estimated regression equation (to 1 decimal). =   +  x Use the estimated regression equation to predict the value of y...
Given are five observations collected in a regression study on two variables. xi 2   6 9...
Given are five observations collected in a regression study on two variables. xi 2   6 9 13 20 yi 7 18 9 26 23 Which of the following scatter diagrams accurately represents the data? Scatter diagram #1 Scatter diagram #2 Scatter diagram #3 SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1   Compute b0 and b1 (to 1 decimal). b1    b0    Complete the estimated regression equation (to 1 decimal). =   +  x Use the estimated regression equation to predict the value of y...
Given are five observations collected in a regression study on two variables. xi 2   6 9...
Given are five observations collected in a regression study on two variables. xi 2   6 9 13 20 yi 7 18 9 26 23 Which of the following scatter diagrams accurately represents the data? Scatter diagram #1 atter diagram #1 Scatter diagram #2 Scatter diagram #3 SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 Compute b0 and b1 (to 1 decimal). b1 b0 Complete the estimated regression equation (to 1 decimal). =  +  x Use the estimated regression equation to predict the...
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 4 7 6 12 15 The estimated regression equation is ? = 0.7 + 2.7x. Compute the mean square error using the following equation (to 3 decimals). Compute the standard error of the estimate using the following equation (to 3 decimals). Compute the estimated standard deviation b1 using the following equation (to 3 decimals). Use the t test to test the following hypotheses...
Given are five observations for two variables, x and y . xi 1 2 3 4...
Given are five observations for two variables, x and y . xi 1 2 3 4 5 yi 53 58 47 21 11 Use the estimated regression equation is y-hat = 78.01 - 3.08x A.) Compute the mean square error using equation. s^2 = MSE = SSE / n -2 [     ]   (to 2 decimals) B.) Compute the standard error of the estimate using equation s = sqrtMSE = sqrt SSE / n - 2 [      ] (to 2 decimals)...
Data for two variables, x and y, follow. xi 1   2   3   4   5 yi 5  ...
Data for two variables, x and y, follow. xi 1   2   3   4   5 yi 5   9   7   13   16 (a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = 2.20+2.60x Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.) xi yi Studentized Deleted Residual 1 5 2 9 3 7 4 13 5 16
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT