Q1,
Assume you have noted the following prices for books and the
number of pages that each book contains.
Book |
Pages (x) |
Price (y) |
|
A |
500 |
$7.00 |
|
B |
700 |
7.50 |
|
C |
750 |
9.00 |
|
D |
590 |
6.50 |
|
E |
540 |
7.50 |
|
F |
650 |
7.00 |
|
G |
480 |
4.50 |
Given the Excel Output, fine the estimated equation of the regression line:
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.750271 | |||||||
R Square | 0.56290658 | |||||||
Adjusted R Square | 0.4754879 | |||||||
Standard Error | 0.98061487 | |||||||
Observations | 7 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 6.19197237 | 6.19197237 | 6.43920216 | 0.05204836 | |||
Residual | 5 | 4.80802763 | 0.96160553 | |||||
Total | 6 | 11 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 1.04155344 | 2.37717411 | 0.43814773 | 0.67956158 | -5.0691671 | 7.15227403 | -5.0691671 | 7.15227403 |
Pages (x) | 0.00990716 | 0.00390421 | 2.53755831 | 0.05204836 | -0.0001289 | 0.01994324 | -0.0001289 | 0.01994324 |
a. |
y-hat=0.7503x+0.5629 |
|
b. |
y-hat=0.0039x+2.3772 |
|
c. |
y-hat=1.0415x+0.0099 |
|
d. |
y-hat=0.0099x+1.0415 |
Q2
Refer to question 1. What percent of the variation in y is explained by the model. Round your answer to 2 decimal places (do not put % sign)
Q3
Refer to question 1. What is the p-value of the t-test (use 3 decimal places)
Q4
Refer to Question 1 Based on p-value can you conclude that there is a linear relationship between x and y variables? Use alpha=0.05
a. |
Yes, there is a strong linear relationship between x and y |
|
b. |
No, there is no linear relationship between x and y |
|
c. |
It can not be determined |
|
d. |
None of the above answers is correct |
Q1, Assume you have noted the following prices for books and the number of pages that...
Question 1 Assume you have noted the following prices for paperback books and the number of pages that each book contains. Book Pages (x variable) Price (y variable) A 500 $7.00 B 610 $8.25 C 550 $7.30 D 650 $8.45 E 530 $7.25 F 600 $8.00 G 477 $6.25 Create a scatter diagram using Excel for the data in the above chart. Place the trendline, the equation of the trendline, and the coefficient of determination on the scatter diagram. Hint...
Hi I was wondering if i could have some help with some distribution questions. 1. show where zero and one fall on a normal distribution based on thedata. 2.is the coefficient sufficiently different than zero? explain 3. is the coefficient sufficiently different than one? explain. Regression Statistics Multiple R 0.806174983 0.649918103 R Square Adjusted R Square Standard Error Observations 0.636952107 13.57635621 29 ANOVA Significance F E SS MS df 9238.877183 9238.877 50.12481 1.30123E-07 Regression Residual 4976.571093 184.3174 27 14215.44828 Total...
SUMMARY OUTPUT Regression Statistics Multiple R 0.633614748 R Square 0.401467649 Adjusted R Square 0.388732918 Standard Error 7373785408 Observations ANOVA SS SS F Significance F 1 17141221.72 17141222 31.52541 1.02553E-06 4725555174.28 543727.1 48 4 2696396 1 17141221.72 17141222 3152541 Siewicowe Regression Residual Total Coefficients Standard Error Star P-value 2194.707265 332.0870736 6.608831 3.21E-08 40.870917 7279205668 5.61475 1.03E-06 Coefficients Standard Porn Photo Intercept Lower 95% Upper 95% Lower 95.096 Upper 95.0% 1526,634245 2862.780285 1526.634245 2862.780285 26.22704404 55.51478995 26.22704404 55.51478995 54 SUMMARY OUTPUT Regression...
Calculate the 95% prediction interval of y when x=5 using the 2000 pairs Mean of x = 4.51 Regression Statistics Multiple R 0.012848 R Square 0.000165 Adjusted R Square -0.00034 Standard Error 2.869737 Observations 2000 ANOVA df SS MS F Significance F Regression 1 2.716416 2.716416 0.329847 0.565814 Residual 1998 16454.31 8.235388 Total 1999 16457.02 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.509054 0.119572 37.70997 1.7E-235 4.274555 4.743552574 4.274555 4.743553 X 0.012884...
What is the coefficient? What is the standard error? What is the z-statistic? Is the coefficient sufficiently different from zero? How about one? Explain. SUMMARY OUTPUT Regression Statistics Multiple R 0.58175248 R Square 0.33843594 Adjusted R S 0.31393357 Standard Err 1.1991813 Observations 29 ANOVA df SS MS Significance F 0.000932269 Regression 1 19.86268888 19.86268888 13.8123745 Residual 38.82696629 27 1.438035789 Total 58.68965517 28 Coefficients Standard Error P-value t Stat Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.0202247 0.223805467 -0.090367404...
In relation to the below output from the Regression Analysis of the S&P/ASX200 Index (X) and from the company ABC Shares derived from weekly data over a 12 month period, can you please explain the key measures and what this all means eg. Number of Observations, R Square, Value of the Slope and the P-Value of the Slope etc. SUMMARY OUTPUT Regression Statistics Multiple R 0.045274332 R Square 0.002049765 Adjusted R Square -0.01790924 Standard Error 0.023996449 Observations 52 ANOVA df...
Dep.= % WRK Indep.= % MGT SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Significance df SS MS F F Regression 102.1488 148.9539 Residual Total 12.0000 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept % MGT 0.4543 SE CI CI PI PI Predicted Predicted Lower Upper Lower Upper x0 Value Value 95% 95% 95% 95% 67.0000 67.8474 65.8779 69.8169 72.0000 70.1189 68.2003 72.0375 76.0000 71.9361 69.7884 74.0838 Dep.= % MGT...
SUMMARY OUTPUT Regression Statistics Multiple R 0.99806038 R Square 0.996124522 Adjusted R Square 0.995155653 Standard Error 387.1597665 Observations 16 ANOVA df SS MS F Significance F Regression 3 4.62E+08 1.54E+08 1028.131 9.91937E-15 Residual 12 1798712 149892.7 Total 15 4.64E+08 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 1946.802039 504.1819 3.861309 0.002263 848.2839829 3045.32 848.284 3045.32 XRay (x1) 0.038577091 0.013042 2.957935 0.011966 0.010161233 0.066993 0.010161 0.066993 BedDays (x2) 1.039391967 0.067556 15.38573 2.91E-09 0.892201042 1.186583...
Problem 5- Simple Linear Regression The following data represent the number of flash drives sold per day at a local computer shop and their prices Price $34 36 32 35 30 Units Sold 6 40 A computer output is produced to examine this relationship further SUMMA RY OUTPUT Regression Statistics Multiple R RSquare Adjusted R Square Standard Error Observations 0.924982 0.855592 0.826711 1.119949 7 ANOVA MS gnificance F Regression Residual Total 137.15714 37.15714 29.62415 0.002842 5 б,271429 1.254286 6 43.42857...
Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.72 0.51 0.38 99.45 6 Anova df SS MS F Significance F 0.11 1 41497.60 41497.60 4.20 Regression Residual 4 39561.23 9890.31 Total 5 81058.83 t Stat P-value Coefficients Standard Error 1423.60 564.95 2.52 0.07 Intercept X Variable 1 Lower 95% Upper 95% -144.96 2992.16 -0.11 0.72 Lower 95.0% Upper 95.0% -144.96 2992.16 -0.11 0.72 0.31 0.15 2.05 0.11 Assume that Craig's Fresh and Hot Pancake Restaurant does...