
Interpreting regression results 2. This is the result of a regression where goals is the dependent...
How do I interpret the p-values in terms of rejecting or failing
to reject H0 at a 95% confidence level? What does the intercept
column mean in terms of p-value? How does the p-value of the F test
compare and what does it mean? In the simple linear regression I'd
conclude age isn't related to pulmonary disease (what does
intercept p-value mean) but for the multiple regression I'd say age
and height aren't related to pulmonary disease but smoking is...
2.-Interpret the following regression model Call: lm(formula = Sale.Price ~ Lot.Size + Square.Feet + Num.Baths + API.2011 + dis_coast + I(dis_fwy * dis_down * dis_coast) + Pool, data = Training) Residuals: Min 1Q Median 3Q Max -920838 -84637 -19943 68311 745239 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -7.375e+05 7.138e+04 -10.332 < 2e-16 *** Lot.Size -5.217e-01 1.139e-01 -4.581 5.34e-06 *** Square.Feet 1.124e+02 1.086e+01 10.349 < 2e-16 *** Num.Baths 3.063e+04 9.635e+03 3.179 0.00153 ** API.2011 1.246e+03 8.650e+01 14.405 < 2e-16...
UESTION 7 Fuel efficiency in auto-mobiles can be influences by a number of characteristics. See the linear regression output below and answer the following questions Results of linear regression analysis are shown below: Call: lm (formula = mpg ~ ., data = auto-mpg) Residuals: Min 1Q Median 3Q Max -8.6927-2.3864 -0.0801 2.0291 14.3607 Coefficients: Estimate Std. Error t value Pr>Itl) (Intercept) -1.454e+01 4.764e+00 -3.051 0.00244* cyl disp hp gvw accel year -3.299e-01 3.321e-01 -0.993 0.32122 7.678e-03 7.358e-03 1.044 0.29733 -3.914e-04...
Question on interpreting linear regression
1. The data file airfares.txt on the book web site gives the one-way airfare (in US dol on modeling airfare as a function of distance. The first model fit to the data was Fare B+BDistance+e (3.7) (a) Based on the output for model (3.7) a business analyst concluded the following The regression coefficient of the predictor variable, Distance is highly statistically signifi- cant and the model explains 99.4% of the variability in the Y-variable. Fare....
Q) The CO2 dataset in R has data on plants from Quebec
and Mississippi (denoted by the variable name ‘Type’) that were
subjected to two different treatments (denoted by the variable name
“Treatment”), chilled or nonchilled. I ran two regression models to
see what variables best describe CO2 uptake of plants, given
different conditions, with the output below:
What are the regression equations for models 1 and
2?
What kind of variable is “Treatment”?
What does the sign of the...
What is the dependent variable in this analysis? What are the independent variables in this analysis? Draw a diagram representing the model being tested. What are the assumptions which need to be met PRIOR to interpreting the results of the analysis? What do you conclude about the quality of the model? What do you conclude about each of the predictors? Interpret the coefficient for any significant predictors. ## ## Call: ## lm(formula = Ought_Score ~ Inherence_Bias + Ought_Score + educ...
9. A regression of log(wage) is run on a set of following variables: educ (years of education), exper (years of experience) and numdep (number of dependents). The regression results are listed as follows. > a-1m(1wage-educ+exper+numdep,data-wage1) > summary(a) Call: LmCformula lwage educ exper numdep, data wage1) Residuals: -2.04105-0.30678-0.05124 0.30711 1.41812 Coefficients: Min 10 Median Max Estimate Std. Error t value Preltl (Intercept) 0.180983 0.117485 1.540 0.1 educ exper numdep 0.099472 0.007862 12.652 < 2e-16 0.010510 0.001569 0.013218 0.016486 0.802 0.423 Signif....
A statistician wishes to estimate the price of a used car of a
certain brand using linear regression based on the variables Age,
Mileages, Crash history, and Owner’s plate number. To do so, she
randomly selected a certain number of used cars of the brand and
measures AGE, MILEAGE, CRASH HISTORY, and NUMBER OF DIGITS ON PLATE
NUMBER. The following is the output from R. Based on the R output,
answer the following questions.
f) Which variable would you first...
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and var(G)-σ2. The output of linear where €1, €2, . . . ,en regression from R takes the form are i.i.d. errors Cal1: lm(formula y ~ x + 1) Residuals: Min 1Q Median 3Q Max 2.0606-0.3287-0.1148 0.5902 1.2809 Coefficients: Estimate Std. Error t value Prlt (Intercept) 0.507932 0.340896 1.49 0.147 0.049656 0.003455 14.37 1.89e-14 Signif. codes: 0.0010.010.05 .'0.1''1 Residual standard error: 0.7911 on 28 degrees...
2. Consider a study comparing is the length of time (in days) for recovery. The medications were randomly assigned to the patients. In group 1, the ni = 15 patients were given medication 1. In group 2, the n2 = 18 patients were given medication 2. We will use a simple linear regression model to analyse the recovery time according to the medication. We import the data with R and display a few two medications for severe bladder infections. The...