Which of the following provides an indication of the total variation explained by the regression relative...
Which of the following provides an indication of the total variation explained by the regression relative to the total unexplained variation?
a. P-value
b. Adjusted R-square
c. t-statistic
d. F-statistic
SHOW YOUR WORK by stating the formula and make your choice
Homework Answers
F-statistic provides an indication of the total variation explained by the regression relative to the total unexplained variation.
F-statistic = (between groups variability/ within groups variability) .
Hence, option(D) is correct.
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Which of the following provides an indication of the total variation explained by the regression relative...
ek-tin Based on the following regression output, what proportion the total variation in Y is explained...
ek-tin
Based on the following regression output, what proportion the total variation in Y is explained by X? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA di SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 Residual 8 704.7117 88.08896 9 Total 4440.0170 Coefficients Standard Error t Stat P-value Lower 95% Intercept 31.623780 10.442970 3.028236 0.016353 7.542233 X Variable 1.131661 0.173786 6.511819 0.000186 0.730910 o a. 0.917214 o b.9.385572...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...
can you do 36 for me? 34) Choose correet F-test interpretation: (a) F-ratio shows that explained variation (mean regression surm a) F-rntio shows that explained variation (mean regression sum of 9u2r6...
can you do 36 for me?
34) Choose correet F-test interpretation: (a) F-ratio shows that explained variation (mean regression surm a) F-rntio shows that explained variation (mean regression sum of 9u2r60 residual error sum of squares) confinming insignificance (p-va of squares) is 8.7 times of unexplained (mean squares) is 93.1 times of unexplained (mean squares) is 0.93 times of unexplained (mean of squares) is 8.7 times of unexplained (mean 0,42 0.05) (b) F-ratio shows that explained variation (mean regression sumo...
Using the appropriate model, sample size n, and output below: Model: y = β0 + β1x1...
Using the appropriate model, sample size n, and output below: Model: y = β0 + β1x1 + β2x2 + β3x3 + ε Sample size: n = 16 Regression Statistics Multiple R 0.9975 R Square 0.9950 Adjusted R Square 0.9937 Standard Error 440.3187 Observations 16 ANOVA DF SS MS F Significance F Regression 3 461,801,144.1072 153,933,714.7024 793.9616 0.0000 Residual 12 2,326,566.6701 193,880.5558 Total 15 464,127,710.7773 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round...
Using the appropriate model, sample size n, and output: Model: Sample: n=8 S=.5561, = 93.1%...
Using the appropriate model, sample size n, and output:
Model:
Sample: n=8 S=.5561,
= 93.1% ,
adj = 90.3%
1. Report SSE,
, and s as shown on the output. Calculate
from SSE and other numbers. Report the total variation,
unexplained variation, and explained variation as shown on the
output. (Round answers to 4 decimal places.)
2. Report
and adjusted
as shown on the output. Calculate the F statistic. (Round your
answer to 3 decimal places.)
3. Find the...
Q. 9 The following is a partial regression result of a two-variable model (i.e. simple linear...
Q. 9 The following is a partial regression result of a two-variable model (i.e. simple linear regression). In the study, a health care economist seeks to determine if a relationship exists between personal income and expenditures on health care, both measured in billions of dollars. Regression Statistics Multiple R ??? R Square ??? Standard Error Observations 51 ANOVA df SS MS F P-value Regression 1 15,750.32 0.00001 Residual/Error Total ??? 16,068.21 Coefficients Standard Error t Stat P-value Lower 95% Upper...
A simple linear regression equation, LNQ = a + bLNH + cLNS is estimated by a...
A simple linear regression equation, LNQ = a + bLNH + cLNS is estimated by a computer regression routine which produces the following output – see the information below. LNQ is the percentage change in the number of cars sold in a day; LNH is the percentage change in the number hours the dealership is open; and LNS is the percentage change in the number of sales persons working that day. The parameter estimates can be interpreted as the percentage...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Squa...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
What percentage of the variation in the observed stopping distances is explained by a linear relationship...
What percentage of the variation in the observed
stopping distances is explained by a linear relationship between
speed and stopping distance?
Group of answer choices
98.5%
16.1%
96.7%
65.9%
96.9%
A study was conducted on stopping distances in feet for a car tested 3 times at each of 5 speeds to see whether or not there is a relationship between stopping distance and speed. Use the Excel regression output shown here to answer questions 14 through 30. Stopping Distance vs...
ek-tin
Based on the following regression output, what proportion the total variation in Y is explained by X? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA di SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 Residual 8 704.7117 88.08896 9 Total 4440.0170 Coefficients Standard Error t Stat P-value Lower 95% Intercept 31.623780 10.442970 3.028236 0.016353 7.542233 X Variable 1.131661 0.173786 6.511819 0.000186 0.730910 o a. 0.917214 o b.9.385572...
can you do 36 for me?
34) Choose correet F-test interpretation: (a) F-ratio shows that explained variation (mean regression surm a) F-rntio shows that explained variation (mean regression sum of 9u2r60 residual error sum of squares) confinming insignificance (p-va of squares) is 8.7 times of unexplained (mean squares) is 93.1 times of unexplained (mean squares) is 0.93 times of unexplained (mean of squares) is 8.7 times of unexplained (mean 0,42 0.05) (b) F-ratio shows that explained variation (mean regression sumo...
Using the appropriate model, sample size n, and output:
Model:
Sample: n=8 S=.5561,
= 93.1% ,
adj = 90.3%
1. Report SSE,
, and s as shown on the output. Calculate
from SSE and other numbers. Report the total variation,
unexplained variation, and explained variation as shown on the
output. (Round answers to 4 decimal places.)
2. Report
and adjusted
as shown on the output. Calculate the F statistic. (Round your
answer to 3 decimal places.)
3. Find the...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
What percentage of the variation in the observed
stopping distances is explained by a linear relationship between
speed and stopping distance?
Group of answer choices
98.5%
16.1%
96.7%
65.9%
96.9%
A study was conducted on stopping distances in feet for a car tested 3 times at each of 5 speeds to see whether or not there is a relationship between stopping distance and speed. Use the Excel regression output shown here to answer questions 14 through 30. Stopping Distance vs...
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