Question

How would you interpret the coefficients "95% lower…95% upper" in any regression output?

How would you interpret the coefficients "95% lower…95% upper" in any regression output?

Homework Answers

Answer #1

Coefficient of 95% lower and 95% upper are the confidence interval lower and upper limits for the slope coefficient calculated in the regression analysis.

Suppose x and y are the 95% lower and 95% upper for the confidence interval, then we can say that if we calculate 95% confidence interval for n number of random samples, then 95% of the confidence interval will include the true slope of the line.

We can also interpret it like this

"We are 95% confident that the true slope of the regression line will be within the range (95% lower, 95% upper)"

Both interpretations are valid

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How to interpret coefficients in multi regression model like this? ln(PRICE) = β1 + β2SQFT +...
How to interpret coefficients in multi regression model like this? ln(PRICE) = β1 + β2SQFT + β3AGE + β4AGE^2 + ε
​a) Construct a​ 95% confidence interval for the regression coefficient for x1 and interpret its meaning....
​a) Construct a​ 95% confidence interval for the regression coefficient for x1 and interpret its meaning. n=? k=? critical t score? Calculate the upper confidence limit​ (UCL) by using the ​"plus+​" component of the equation. Calculate the lower confidence limit​ (LCL) by using the ​"minus−​" component of the equation. b) Construct a​ 95% confidence interval for the regression coefficient for x2 and interpret its meaning. Calculate the upper confidence limit​ (UCL) by using the ​"plus+​" component of the equation. Calculate...
For any of the independent variables, if the 95% confidence range was not given, how could...
For any of the independent variables, if the 95% confidence range was not given, how could you approximate it based on the other information in the table? df 5 Residual 61 Regression 66 Total Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95% Upper 95% Intercept 1.4846 0.9086 1.6339 0.1074 -0.3323 3.3014 -0.3323 3.3014 Qtrly Close 0.0344 0.0310 1.1077 0.2723 -0.0277 0.0965 -0.0277 0.0965 Treasury (%) 0.4670 0.1735 2.6924 0.0091 0.1202 0.8138 0.1202 0.8138 M2 Supply -0.7697...
Using this regression model below that I created to, interpret the slope estimates, that is interpret...
Using this regression model below that I created to, interpret the slope estimates, that is interpret the impact that income [per capita gross national income] has on U5MR [No. of deaths of children 0-5 years old, per 1000 live births]. Then interpret the r square [for example what % of the variation can be explained by the other variable]. Lastly calculate the predicted values of U5MR when income = $10,000. Regression Statistics Multiple R 0.443388 R Square 0.196593 Adj R...
How do you find the upper and lower 95% confidence interval for your estimate of the...
How do you find the upper and lower 95% confidence interval for your estimate of the sample mean, if sample mean, the population mean, and t-value is known? Please provide an example
What information do regression coefficients give? Interpret the regression coefficient for number of minutes of exercise...
What information do regression coefficients give? Interpret the regression coefficient for number of minutes of exercise (ExerciseMin) in the following equation for BMI: BMI = 26 - 0.03ExerciseMin What BMI would be predicted for someone who exercises 60 minutes a week? What BMI would be predicted for someone who exercises 0 minutes a week?
betas Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 60 9.22603481 6.503336 0.000187444...
betas Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 60 9.22603481 6.503336 0.000187444 38.72472558 81.27527 X Variable 1 5 0.580265238 8.616749 2.54887E-05 3.661905962 6.338094 please show me the formula on exel how the teacher got thesee results? Here are the following data Restaurant Population as x Sales as y 1 2 58 2 6 105 3 8 88 4 8 118 5 12 117 6 16 137 7 20 157 8 20 169 9 22 149 10...
As a manager, you have been provided the following regression summery output for a regression model...
As a manager, you have been provided the following regression summery output for a regression model of a new product. PLEASE PROVIDE STEP BY STEP INSTRUCTIONS TO SOLVE THIS. THANK YOU df SS MS F Significance F Regression 3 156.4823 52.16077 28.01892 0.000002177 Residual 26 48.4023 1.861627 Total 29 204.8846 Coefficients P-value Intercept 23.8163 9.24E-07 Price -0.3035 0.001925 Price other -0.342937 0.112442 Income 0.23406 0.033889 a. What is the percent risk of the coefficients really being zero? In other words,...
1 test for multicollinearity and discuss possible solutions. Regression output confidence interval variables coefficients std. error...
1 test for multicollinearity and discuss possible solutions. Regression output confidence interval variables coefficients std. error    t (df=148) p-value 95% lower 95% upper VIF Intercept 0.6507 X1 0.00000662 0.00000074 8.910 1.73E-15 0.00000515 0.00000809 3.860 X2 0.00041330 0.00023401 1.766 .0794 -0.00004914 0.00087574 1.132 X3 -0.0006 0.00016086 -3.628 .0004 -0.0009 -0.0003 2.930 X4 -0.00030420 0.00002572 -11.829 3.82E-23 -0.00035502 -0.00025338 2.654 X5 0.0550 0.0346 1.587 .1147 -0.0135 0.1234 1.272 X6 -0.0006 0.00040393 -1.493 .1375 -0.0014 0.0002 3.402 2.542 mean VIF
Dep.= Mileage Indep.= Cylinders SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard...
Dep.= Mileage Indep.= Cylinders SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 7.0000 ANOVA Significance df SS MS F F Regression 12.4926 Residual Total 169.4286 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept 38.7857 Cylinders -2.7500 SE CI CI PI PI Predicted Predicted Lower Upper Lower Upper x0 Value Value 95% 95% 95% 95% 4.0000 1.9507 6.0000 1.1763 Is there a relationship between a car's gas MILEAGE (in miles/gallon) and its...