Question

all data is built in in R

4. For Questions 4-11, use the swiss dataset, which is built into R. Fit a multiple linear regression model with Fertility as the response and the remaining variables as predictors. You should use ?swiss to learn about the background of this dataset 1 Run Reset Use your fitted model to make a prediction for a Swiss province in 1888 with: 54% of males involved in agriculture as occupation 23% of draftees receiving highest mark on army examination 13% of draftees obtaining education beyond primary school 60% of the population identifying as Catholic 24% of live births that live less than a year Enter answer here 5. 1 Run Reset Create a 99% confidence interval for the coefficient for Catholic. Report the upper bound of this interval. Enter answer here 6. 1 Run Reset 0 vs HBExamination Calculate the p-value of the test Ho : BExamination 0. Enter answer here 7. 1 Run Reset Create a 95% confidence interval for the average Fertility for a Swiss province in 1888 with: 40% of males involved in agriculture as occupation 28% of draftees receiving highest mark on army examination 10% of draftees obtaining education beyond primary school of the population identifying as Catholic 27% of live births that live less than a year Report the lower bound of this interval. Enter answer here 8. 1 Run Reset Create a 95% prediction interval for the Fertility of a Swiss province in 1888 with: 40% of males involved in agriculture as occupation 28% of draftees receiving highest mark on army examination 10% of draftees obtaining education beyond primary school 42% of the population identifying as Catholic 27% of live births that live less than a year Report the lower bound of this interval. Enter answer here 9. 1 Run Reset Report the value of the F statistic for the significance of regression test. Enter answer here 10. 1 Run Reset Carry out the significance of regression test using a = 0.01. What decision do you make? Fail to reject Ho Reject Ho Reject H1 Not enough information 11. 1 Run Reset Consider a model that only uses the predictors Education, Catholic, and Infant.Mortality. Use an F test to compare this with the model that uses all predictors. Report the p-value of this test. Enter answer here

Answer 1

4)

data(swiss)
model <- lm(Fertility ~. , data= swiss)
summary(model)

summary(model) Call: lm(formula = Fertility ~ ., data = swiss) Residuals: Min 1Q Median 3Q Max -15.2743 -5.2617 0.5032 4.1198 15.3213 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 66.91518 10.70604 6.250 1.91e-07 *** Agriculture -0.17211 0.07030 -2.448 0.01873 * Examination -0.25801 0.25388 -1.016 0.31546 Education -0.87094 0.18303 -4.758 2.43e-05 *** Catholic 0.10412 0.03526 2.953 0.00519 ** Infant.Mortality 1.07705 0.38172 2.822 0.00734 ** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 7.165 on 41 degrees of freedom Multiple R-squared: 0.7067, Adjusted R-squared: 0.671 F-statistic: 19.76 on 5 and 41 DF, p-value: 5.594e-10

>

66.91518-0.17211*54 - 0.25801 * 23 -0.87094 * 13 + 0.10412 * 60 + 1.07705 * 24 [1] 72.46119

>

= 77.46119

6)
p-value = 0.3155

9)
F = 19.76

10)
p-value = 0.0000
we reject Ho
option B)

Please post rest questions again

You can use predict function for these question