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Directions : Consider a possible linear relationship between two variables that

ID: 3258122 • Letter: D

Question

Directions: Consider a possible linear relationship between two variables that you would like to explore.

Define the relationship of interest and a data collection technique.

Determine the appropriate sample size and collect the data.

Perform the appropriate analysis to determine if there is a statistically significant linear relationship between the two variables. Describe the relationship in terms of strength and direction.

Construct a model of the relationship and evaluate the validity of that model.

Show all work to receive full credit. Provide complete sentence explanations for each of the above.

I have the data set below I want to know does the time of day 9 subjects takes their blood suger affect the glucose level.

*Time of day glucose is taken versus Glucoselevel

Answer each question with complete sentences and include all relevant JMP files requested.

What are the two variables of interest? What linear relationship are you interested in exploring? Wight(Pounds) vs. Height(inches).               

Which data collection technique will be used and why is it best?

What sample size is best for this data set and why?

Collect the data. Explain any issues you had during data collection. Include the JMP data file with your submission.

Is there a statistically significant relationship between the two variables? Describe the relationship in terms of strength and direction. Show your work by including the JMP output file.

Develop a linear model of this relationship. Include the JMP output file.

Is this a valid model to describe this relationship? Describe the fit of the model. Include the JMP output file.

Time of day glucose is taken id Glucoselevel 1 1 85 1=breakfast 1 2 87 2=lunch 1 3 150 3=dinner 1 4 100 1 5 100 1 6 90 1 7 70 1 8 72 1 9 75 2 1 70 2 2 85 2 3 143 2 4 100 2 5 121 2 6 92 2 7 66 2 8 70 2 9 69 3 1 75 3 2 80 3 3 140 3 4 92 3 5 130 3 6 83 3 7 70 3 8 68 3 9 67

Explanation / Answer

The two variables of interest is Time of day glucose and Glucoselevel.

Time of day glucose vs Glucoselevel linear relationship are you interested in exploring

Yes, there is a statistically significant relationship between the two variables

SUMMARY OUTPUT Regression Statistics Multiple R 0.044206 R Square 0.001954 Adjusted R Square -0.03797 Standard Error 25.56809 Observations 27 ANOVA df SS MS F Significance F Regression 1 32 32 0.04895 0.826698 Residual 25 16343.19 653.7274 Total 26 16375.19 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 93.40741 13.01864 7.1749 1.61E-07 66.59502 120.2198 X Variable 1 -1.33333 6.026457 -0.22125 0.826698 -13.7451 11.07839
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