1. (TCO 5) Answer the following questions using the Patient Falls linear regress
ID: 3396391 • Letter: 1
Question
1. (TCO 5) Answer the following questions using the Patient Falls linear regression output table given below.
a. What is the equation of the line of best fit for this problem?
b. How strong is the relationship between the Period number and Patient Falls? Why did you reach that conclusion?
c. Is this model statistically significant? Why?
d. Make a prediction for period 17 using the data. Please show your work.
Period New Customers 1 50 Summary Output 2 40 3 45 Regression Statistics 4 55 Multiple R 0.856119569 5 51 R Square 0.732940717 6 48 Adjusted R Square 0.713865054 7 55 Standard Error 4.943270615 8 60 Observations 16 9 62 10 67 Anova 11 70 df SS MS F Significance F 12 56 Regression 1 938.8970588 938.8970588 38.42281735 2.3156E-05 13 62 Residual 14 342.1029412 24.43592437 14 65 Total 15 1281 15 69 16 70 Coefficients Standard Error tStat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 43.625 2.59227298 16.82886036 1.10083E-10 38.06512744 49.18487256 38.06512744 49.18487256 X Variable 1 1.661764706 0.268086489 6.198614147 2.31956E-05 1.086776374 2.236753038 1.086776374 2.236753038Explanation / Answer
a. What is the equation of the line of best fit for this problem?
Y = 43.625 + 1.6617X1
b. How strong is the relationship between the Period number and Patient Falls? Why did you reach that conclusion?
R = 0.7329
there is a strong relationship between the variables because R is greater than 0.5
c. Is this model statistically significant? Why?
yes, because p value is very low
d)
Y = 43.625 + 1.6617 * 17
Y = 71.87
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