Here is another set of regression results, for a generic DV called y and a generic N called x SUMMARY OUTPUT Regression Stotistics Multiple R RSquare 0.00971347 Adjusted R Square Standard Fmor Observations 20.5R97879 74 ANOVA MS 299 3386 259 3986 0.70623 Significonce Regression 0.40348 Residual 72 30523.63 423.9394 Total 73 20823.03 Srandard Upper OSK Coricienty Errur I Sta Puale lower 95% Intercept 44.3618365 5.205352 8.522351 1.62E-12 33.58515 54.73852 01587303 018888 0.84037 0.40348 0.217796 7) How many obsenvations were in this dataset? 8) Fallow the four staps in Ch 14: Handout 22 to perform the hypothesis test to ansoer the foloeing question: la there a statiatically significant relationahip between y and x? Use ana- ans significance level. Ihe guidelines from the test in Question 1 apply here to. 9 Given your result in Question 3, is it appropriete to continue interpretine this model?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

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Here is another set of regression results, for a generic DV called y and a generic IV called x.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
0.09855694
0.00971347
Adjusted R
Square
-D.004n405
Standard Fror
20.5897879
Observations
74
ANOVA
SS
MS
Signifivoce
Regression
299.3986
299 3986 0.70623
0.40348
Residual
72
30523.63
423.9394
Total
73
20823.03
Sturndard
Coeficienis
1 Stai
P-walue
lower 95N
95%
Intercept
44.3618365
5.205352
8.522351 1.62E-12
33.98515
54.73852
-0.1587303
0.18988
-0.84037
0.40349
-0.53526
0.217796
7) How many observations were in this dataset?
8) Fallaw the foaur steps in Ch 14: Handout #2 to perform the hypothesis test to answer the following
question: la there a statistically significant relationahip between y and x? Use an a - (1.5 significance
level. Ihe guidelines from the test in Question #1 apply here tao.
9) Given your result in Question 48, is it appropriate to continue interpreting this model?
Transcribed Image Text:Here is another set of regression results, for a generic DV called y and a generic IV called x. SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.09855694 0.00971347 Adjusted R Square -D.004n405 Standard Fror 20.5897879 Observations 74 ANOVA SS MS Signifivoce Regression 299.3986 299 3986 0.70623 0.40348 Residual 72 30523.63 423.9394 Total 73 20823.03 Sturndard Coeficienis 1 Stai P-walue lower 95N 95% Intercept 44.3618365 5.205352 8.522351 1.62E-12 33.98515 54.73852 -0.1587303 0.18988 -0.84037 0.40349 -0.53526 0.217796 7) How many observations were in this dataset? 8) Fallaw the foaur steps in Ch 14: Handout #2 to perform the hypothesis test to answer the following question: la there a statistically significant relationahip between y and x? Use an a - (1.5 significance level. Ihe guidelines from the test in Question #1 apply here tao. 9) Given your result in Question 48, is it appropriate to continue interpreting this model?
Worksheet #10
An analyst for a shopping district would like to determine the rent that should be charged for retail
spaces depending on how close they are to parking. The analyst takes a random sample of retail spaces
in similar shopping districts and measures the monthly rent ($) and distance from parking (in yards) for
each retail space. This is the same regression you worked with in Worksheet #9.
Here is the complete Excel output for this regression:
SUMMARY OUTPUT
Regression Stotistics
Multiple R
R Square
0.7076
0.5007
Adjusted R
Square
Standard Error
0.4918
978.8761
Observations
58
ANOVA
Significaner
df
SS
MS
Regression
1
53809748.97
53809748.97
56.1572
5.28E-10
Residual
56
53659115.74
958198.4954
Total
57
107468864.7
Coefficients
t Stat
P value
Upper 95%
Standard Error
Lower 95%
Intercept
15003.10
249.3464
60.17
1.4E-52
14503.59
15502.6
Distance
-11.42
1.5239
-7,49
5.28E-10
-14.47
8.37
NOTE: Excel uses scientific notation for very small numbers. So the p-value = 5.28E-10 = 5.28 x 10 10 -
0.000000000528. In the hypothesis test, you may truncate that to 0.000. Very tiny p-values with more
than four zeroes after the decimal are often expressed as 0.000 or .000 when they are reported and
interpreted.
Transcribed Image Text:Worksheet #10 An analyst for a shopping district would like to determine the rent that should be charged for retail spaces depending on how close they are to parking. The analyst takes a random sample of retail spaces in similar shopping districts and measures the monthly rent ($) and distance from parking (in yards) for each retail space. This is the same regression you worked with in Worksheet #9. Here is the complete Excel output for this regression: SUMMARY OUTPUT Regression Stotistics Multiple R R Square 0.7076 0.5007 Adjusted R Square Standard Error 0.4918 978.8761 Observations 58 ANOVA Significaner df SS MS Regression 1 53809748.97 53809748.97 56.1572 5.28E-10 Residual 56 53659115.74 958198.4954 Total 57 107468864.7 Coefficients t Stat P value Upper 95% Standard Error Lower 95% Intercept 15003.10 249.3464 60.17 1.4E-52 14503.59 15502.6 Distance -11.42 1.5239 -7,49 5.28E-10 -14.47 8.37 NOTE: Excel uses scientific notation for very small numbers. So the p-value = 5.28E-10 = 5.28 x 10 10 - 0.000000000528. In the hypothesis test, you may truncate that to 0.000. Very tiny p-values with more than four zeroes after the decimal are often expressed as 0.000 or .000 when they are reported and interpreted.
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