Question

From the linear regression data used in Chapter 14.2 #3 and carried forward to #17: (40...

  1. From the linear regression data used in Chapter 14.2 #3 and carried forward to #17: (40 points)

The sample data and regression coefficients were computed as follows

            

Item

1

2

3

4

5

Sums

Means

Yi

7

18

9

26

23

=83

= 16.6

Xi

2

6

9

13

20

=50

= 10

Warning the Xs and Ys are flipped from the way your textbook and my PowerPoint state. But this should not confuse you.

From this data above: The regression line has already been calculated as

= 7.6 +.9

  1. Find the residual (Yi - for each of the 5 points in the regression, square them in the second row. (Similare to Table 14.3 in Textbook.)

Item

1

2

3

4

5

Sums

Yi -  

(Yi -  

SSE =

  1. Find the Deviations between (Yi -   for each of the 5 point in the Y data. Then Square them below and take the sum. (Similar to Table 14.4 in textbook.)

Item

1

2

3

4

5

Sums

(Yi -  

(Yi -  

SST=

From the results above, calculate the following

  1. SSR =

  D. The Coefficient of Determination, aka R2 =

  1. MSE =

Homework Answers

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
The following data were used in a regression study. Observation 1 2 3 4 5 6...
The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8 9 yi 3 5 4 7 4 6 9 5 11 a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = b) Do the assumptions about the error term seem to be satisfied? a) The plot suggests a generally horizontal band of residual...
The following data were used in a regression study. Observation 1 2 3 4 5 6...
The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8 9 yi 3 5 4 7 4 6 9 4 11 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b) Construct a plot of the residuals. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0...
Below shows a sample of 5 pairs of data: x y 5 3 1 4 3...
Below shows a sample of 5 pairs of data: x y 5 3 1 4 3 5 8 6 3 1 The following are some summaries of the data: ∑ni=1xi=20,∑ni=1yi=19,∑ni=1(xi−x¯)=0,∑ni=1(yi−y¯)=0,∑i=1nxi=20,∑i=1nyi=19,∑i=1n(xi−x¯)=0,∑i=1n(yi−y¯)=0, ∑ni=1(xi−x¯)2=28,∑ni=1(yi−y¯)2=14.8,∑ni=1(xi−x¯)(yi−y¯)=9.∑i=1n(xi−x¯)2=28,∑i=1n(yi−y¯)2=14.8,∑i=1n(xi−x¯)(yi−y¯)=9. Calculate the regression line. Provide an interpretation of the intercept and slope coefficient. Round your answer to 4 decimal points.
4. Data on the unemployment rate and alcohol sales were analyzed. The following regression equation was...
4. Data on the unemployment rate and alcohol sales were analyzed. The following regression equation was computed from a sample of 18 data points. ?̂ = 3 . 5 9 + . 7 2 ? (A) Complete this ANOVA table. (9) Source SS df MS F Regression Error 301.1 Total 403.8 (B) Determine the standard error of estimate. (Round to 3 decimals.) (9) (C) Determine the coefficient of determination. (Round to 3 decimals.) (9) (D) Determine the correction coefficient. Clearly...
Estimate regression model fort he independent and dependent variables below Write the observations to the table...
Estimate regression model fort he independent and dependent variables below Write the observations to the table (20 POINTS) (I wrote two of them to give you a clue) View (X) Citiation (Y) Income Inequality 420 75 Real Exchange Rate 416 30 3.Ownership Identity 764 3 4.Trade Flows 49 3 5.Oil price 417 2 6.Modelling Volatility 310 4 7.Foreign Direct Investment 46 5 8.An empirical test 27 3 9.Changes in capital 23 18 10.Growth 349 18 Please estimate the regression model...
A substance used in biological and medical research is shipped by airfreight to users in cartons...
A substance used in biological and medical research is shipped by airfreight to users in cartons of 1,000 ampules. The data below, involving 10 shipments, were collected on the number of times the carton was transferred from one aircraft to another over the shipment route (X) and the number of ampules found to be broken upon arrival (Y ). (Use any statistical software and report your output as well.) i 1 2 3 4 5 6 7 8 9 10...
Regression analysis is to be conducted with data from vegetarians to see whether the number of...
Regression analysis is to be conducted with data from vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The resulting regression formula will be used by medical personnel to predict blood pressure in a weight loss clinic in downtown Pittsburgh.   Subject Grams of protein Diastolic BP 1 4 73 2 6.5 79 3 5 83 4 5.5 82 5 8 84 6 10 92 7 9 88 8 8.2...
Problem Set 1: Linear Regression Research Scenario:A human resources specialist wanted to know if conscientiousness is...
Problem Set 1: Linear Regression Research Scenario:A human resources specialist wanted to know if conscientiousness is a good predictor of job performance. Conscientiousness was evaluated using likert based questions from the open access International Personality Item Pool (IPIP) based on Goldberg’s Big Five (1992). Questions were summed (range 0 – 20), with higher values indicating more conscientiousness. Job performance was an average of several factors, ranging from 0 – 20, with higher scores indicating better job performance. He compiles the...
Computing the regression line and making predictions Suppose you are a dolphin trainer at SeaWorld. You...
Computing the regression line and making predictions Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 3 7 Frederick 2 8 Fatima 4 5 Marlin...
In a small-scale regression study, we collected data on the number of children in a family...
In a small-scale regression study, we collected data on the number of children in a family Xi and the number of hours per week spent shopping Yi. The following data were obtained: i 1 2 3 4 5 6 Xi 2 6 3 1 1 9 Yi 13 17 12 12 9 22 Assume we performed a simple linear regression of Yi on Xi, i.e. E(Yi) = ?0 + ?1Xi (a) By hand compute X?X, X?Y, (X?X)-1, b, Y^(means Y-hat),...