|
In a simple linear regression, the following information is given: |
| x−x− = −39; y− y− = 40; |
| Σ(xi−x− )(yi− y−)= −840;Σ(xi−x− )(yi− y−)= −840; |
| Σ(xi− x−)2= 718Σ(xi− x−)2= 718 |
| a. |
Calculate b1. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) |
| b1 |
| b. |
Calculate b0. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.) |
| b0 |
| c-1. |
What is the sample regression equation? (Negative value should be indicated by a minus sign. Round your answers to 2 decimal places.) |
| yˆ=y^= + x |
| c-2. |
Predict y if x equals −33. (Round intermediate coefficient values and final answer to 2 decimal places.) |
| yˆ=y^= |
In a simple linear regression, the following information is given: x−x− = −39; y− y− =...
Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(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 = 9.
Observation 1 2 3 4 5 6 7 8...
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.
Consider the following information regarding a response variable y and an explanatory variable x. x⎯⎯=8∑(xi−x⎯⎯)2=696 ∑(xi−x⎯⎯)(yi−y⎯⎯)=−346x¯=8∑xi-x¯2=696 ∑xi-x¯yi-y¯=-346 y⎯⎯=8Σ(yi−y⎯⎯)2=185Σ(yi−yˆ)2=13n=25y¯= 8 Σ(yi− y¯)2 = 185 Σ(yi− y^)2=13n= 25 a. Calculate b0 and b1.b. What is the sample regression equation? Predict y if x equals 10. c. Calculate the standard error of the estimate. d. Calculate and interpret the coefficient of determination.
Given are five observations for two variables, x and y.xi 1 2 3 4 5yi 3 7 5 11 14a. Develop the estimated regression equation by computing the values of b0 and b1.(To save you a lot of arithmetic, use the following facts: Σ(xi − ̄x)(yi − ̄y) = 26 and Σ(xi − ̄x)2= 10.)b. Use the estimated regression equation to predict the value of y when x= 4.
(a) Make an Excel worksheet to calculate SSxx, SSyy, and SSxy. (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Picture Click here for the Excel Data File Part-Time Weekly Earnings ($) by College Students Hours Worked (X) Weekly Pay (Y) formula31.mml(x i −x ¯ ) 2 (xi−x¯)2 formula32.mml(y i −y ¯ ) 2 (yi−y¯)2 formula33.mml(x i −x ¯ ) (y...
Consider the following sample data: X y 22 101 24 139 27 250 21 88 23 87 14 14 14 16 15 20 Click here for the Excel Data File b. Calculate by and bo. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) y-hat = c. Find the predicted value for y if x equals 20, 100 and...
Consider the following sample data: x 14 16 17 18 20 y 20 14 17 12 13 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
The following sample observations were randomly selected: 1 2 3 4 5 X: 17 4 2 7 6 Y: 13 25 6 15 15 a. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.) b = a = Y' = + X b. Determine the value of Y' when X is 13. (Do not round intermediate calculations. Round the final...
Consider the following sample data: x 8 10 7 5 2 y 11 2 7 4 8 Click here for the Excel Data File a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Consider the following sample data: x 11 7 5 5 4 y 3 10 13 6 11 Click here for the Excel Data File a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Covariance b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Correlation coefficient