Question

I would really appreciate if you do it in SPSS, otherwise do it in Excel. Thanks!...

I would really appreciate if you do it in SPSS, otherwise do it in Excel. Thanks!

Run the regression again without the potential confounding variable and discuss the impact on the coefficient of the primary independent variable. Did it change? If so, to what extent did it change? Based on this, do you think the added variable confounds the association between the independent and dependent variables? Interpret the results.

Independent variable: Minutes exercise

Dependent variable: Annual income

Counfonding variable: Education Level

Minutes_Exercise Annual_Income* Education_Level***
90 51000 2
50 23000 2
65 35000 3
20 10000 1
50 28000 1
25 5000 2
110 46000 3
50 36000 1
40 51000 2
80 12000 2
120 78000 3
80 34000 1
60 15000 1
150 28000 3
75 28000 2
80 24000 1
110 55000 2
80 62000 3
100 32000 2
0 7000 1
50 17000 2
200 64000 3
60 5000 2
65 14000 1
40 20000 1
65 72000 3
70 85000 3
45 15000 1
75 64000 3
50 27000 3
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Independent variable: Minutes exercise

Dependent variable: Annual income

Counfonding variable: Education Level

Regression output without Counfonding variable:

Regression Statistics
Multiple R 0.50650506
R Square 0.256547376
Adjusted R Square 0.229995497
Standard Error 20073.22859
Observations 30
ANOVA
df SS MS F Significance F
Regression 1 3893200499 3893200499 9.662117396 0.004288622
Residual 28 11282166167 402934506
Total 29 15175366667
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 13584.73078 7737.415446 1.755719448 0.09007202 -2264.64628 29434.10784
Minutes_Exercise 294.8761377 94.86444593 3.108394665 0.004288622 100.5551291 489.1971462

Annual income = 13584+294.87*Minutes exercise.

R square value is only 0.25. Hence this is not a effective equation

Regression output with Counfonding variable:

Regression Statistics
Multiple R 0.678587671
R Square 0.460481227
Adjusted R Square 0.420516873
Standard Error 17413.69747
Observations 30
ANOVA
df SS MS F Significance F
Regression 2 6987971457 3493985728 11.52229888 0.00024104
Residual 27 8187395210 303236859.6
Total 29 15175366667
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept -4015.193133 8683.64939 -0.46238545 0.647509608 -21832.56995 13802.18368
Education_Level*** 14595.47627 4568.724917 3.194649827 0.003546758 5221.227061 23969.72547
Minutes_Exercise 133.5161104 96.55977653 1.38273011 0.178078032 -64.60818572 331.6404066

Annual income = -4015.19+133.51*Minutes exercise + 14595.47*Education_Level

So coefficient of primary Independent variable changed from 133.51 to 294.87

0 0
Know the answer?
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
Similar Questions
A geriatric research project has been tracking the health and cognitive functions of the elderly population...
A geriatric research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from 16 elderly residents, tested first when they were 65 years old and again when they were 75 years old. The researcher wants to know if there is a significant decline in memory functions based on this sample. The alpha level was set at α = .05 for the hypothesis test. Memory score Subject...
Using the Motor Trend Cars Data Set, you would like to determine if there is a...
Using the Motor Trend Cars Data Set, you would like to determine if there is a relationship between MPG (miles per gallon) and specific variables included in the data set. Develop a correlation matrix for the variables MPG, DISP, HP, and WT. Fit a multiple regression model using MPG as the dependent variable and DISP, HP, and WT as the independent variables. State the estimated multiple regression equation. Is the overall regression model significant? Test at the α = 0.05...
Calculate the mean, median, mode, variance (population) and standard deviation (sample) for the following test grades:...
Calculate the mean, median, mode, variance (population) and standard deviation (sample) for the following test grades: 65, 60, 67, 71, 75, 80, 65 Use this information to answer questions #1-4. Question 1 (0.5 points) Saved The mode is: Question 1 options: 65 60 There is no modal category 75 71 Question 2 (0.5 points) Saved The median is: Question 2 options: 67 65 80 66 None of the above Question 3 (0.5 points) What is the approximate population variance for...
I am making a game like Rock Paper Scissors called fire water stick where the rules...
I am making a game like Rock Paper Scissors called fire water stick where the rules are Stick beats Water by floating on top of it Water beats Fire by putting it out Fire beats Stick by burning it The TODOS are as follows: TODO 1: Declare the instance variables of the class. Instance variables are private variables that keep the state of the game. The recommended instance variables are: 1. 2. 3. 4. 5. 6. A variable, “rand” that...
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel...
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel to check your answers before submitting. Q2 assesses your general understanding of probability and linear associations using Excel to analyse a large dataset. Question 1       Covariance and Correlation The table below shows a set of sample bivariate data. Calculate the covariance and correlation coefficient by completing the below table. Show all working. X Y (X - ) (Y - ) (X - )(Y -...
Your company has been granted an exclusive license to sell ice cream. No one has ever...
Your company has been granted an exclusive license to sell ice cream. No one has ever sold ice cream here before, so you have no idea what the demand will look like. You suspect that people like to buy more ice cream on hotter days, but you are very unsure about what price you should charge to maximize your profit. Over your first season selling ice cream, you vary your price each week for the 10 weeks your license allows...
Do the TODOs in SongFileAccessor.java. It inherits from FileAccessor class. TODO 1: Implement the processLine method....
Do the TODOs in SongFileAccessor.java. It inherits from FileAccessor class. TODO 1: Implement the processLine method. When the text file is processed, each line of text will be passed to processLine . Each line contains 4 fields: title, album, artist, and play time. The album field is optional. Each field is separated by a comma. TODO 2: Implement the songToCSVString method. This method takes a Song object as a parameter and returns a String which is the csv representation of...
Q) Over the past few years the percentage of students who leave Lakeland College at the...
Q) Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year students adjust to campus life. If Lakeland is able to show that the orientation program has a positive effect on retention, they will consider making the program a requirement for all first-year students. Lakeland’s administration also suspects that students with lower GPAs have a higher...
1) What are some indicators that there are assignable causes for variation in a process? I.Process...
1) What are some indicators that there are assignable causes for variation in a process? I.Process capability. II. Data patters outside of the control limits. III. Data patters within the control limits. IV. Points randomly falling above and below the control chart center line. a. II and III b. II, III, IV c. I, II, IV d. I, II, III, IV 2) The best quantitative tool to determine the cause for variation in a process is: a. ANOVA b. Correllation...
Your company has been granted an exclusive license to sell ice cream. No one has ever...
Your company has been granted an exclusive license to sell ice cream. No one has ever sold ice cream here before, so you have no idea what the demand will look like. You suspect that people like to buy more ice cream on hotter days, but you are very unsure about what price you should charge to maximize your profit. Over your first season selling ice cream, you vary your price each week for the 10 weeks your license allows...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT