Regression Equation for Males Eating Junk Food
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1. Figure out the regression equation for males based on what they spend on junk food and their weight. The weight is the independent variable. Do we have a correlation?
2. Figure out the regression equation for females based on what they spend on junk food and their weight. Do we have a correlation?
Note: For the first part you need to calculate the regression coefficients and place them in the regression equation. You should end up with two equations, one for males and one for females. It should look like
Y' = mX + b
For the second part you need to find the correlation coefficient ( r ) for males and correlation coefficient ( r ) for females. Student test to prove correlation will assist you in the decision and use the level of significance of .05 to tell me if there is a relationship between the variables.
Below is the survey results:
Gender $junk food/week Weight
M $50.00 295
M $5.00 270
M $30.00 165
M $10.00 220
M $0.00 140
M $5.00 175
M $10.00 175
M $20.00 235
M $10.00 235
M $25.00 185
M $12.00 200
M $35.00 215
M $37.00 300
M $15.00 150
M $25.00 185
M $10.00 170
M $22.00 220
M $35.00 195
M $15.00 225
M $10.00 180
M $35.00 275
M $15.00 205
M $20.00 170
M $10.00 205
M $5.00 190
M $25.00 210
M $0.00 175
M $15.00 185
M $10.00 205
M $27.00 165
M $10.00 190
M $27.00 225
M $30.00 265
M $30.00 150
M $19.00 175
M $25.00 170
M $36.00 220
M $18.00 180
M $20.00 180
M $3.00 190
Total $761.00 8065
Gender $junk food/week Weight
F $50.00 170
F $0.00 121
F $10.00 175
F $20.00 128
F $2.00 170
F $0.00 175
F $20.00 140
F $15.00 195
F $19.00 157
F $7.00 160
F $10.00 175
F $10.00 165
F $8.00 175
F $17.00 170
F $5.00 110
F $18.00 180
F $30.00 200
F $10.00 250
F $15.00 185
F $10.00 175
F $10.00 120
F $15.00 160
F $10.00 145
F $5.00 130
F $30.00 185
F $15.00 135
F $15.00 150
F $0.00 115
F $10.00 130
F $5.00 125
F $13.00 170
F $12.00 155
F $4.00 140
F $8.00 120
F $10.00 105
F $22.00 98
F $18.00 175
F $10.00 190
F $17.00 170
F $12.00 145
Total $517.00 6239
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Solution Summary
Excel and Word documents show how to find the regression equation and coefficients.
Solution Preview
See attached word document for analysis. The data analysis is in the stat.xls (an Excel file)
1. Figure out the regression equation for males based on what they spend on junk food and their weight. The weight is the independent variable. Do we have a correlation?
Use Excel(see the first two columns in the sheet 1), we get the following table.(on sheet 4).
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.430005
R Square 0.184904
Adjusted R Square 0.163454
Standard Error 10.67935
Observations 40
ANOVA
df SS MS F Significance F
Regression 1 983.1316 983.1316 8.620294 0.005617
Residual 38 4333.843 114.0485
Total 39 5316.975
...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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