Need help on below statistics using R questions.
10. For Questions 10-15, use the airquality dataset that is built into R. For simplicity, we will remove any observations with missing data. We will use Ozone as the response and Temp as a single predictor. 1 air'quality = na.omit(air'quality) Run Reset Fit the model Y=260+261$+2$2+e Test for the signicance of the quadratic term. Report the p-value of this test. Enter answer here 13. 1 air'quality = na.0mit(air'quality) Fit the model 103(9) : 50 + {913: + 6- Use the Shapiro-Wilk test to asses the normality assumption for this model. Use a: = 0.01. Select the correct decision and interpretation: 0 Fail to reject Hg. Normality assumption is suspect. O Fail to reject H0. Normality assumption is not suspect. O Reject Ho. Normality assumption is suspect. O Reject Ho. Normality assumption is notsuspect. Run Reset 14. 1 airquality = na. omit(airquality) Run Reset Use the model from Question 13 to create a 90% prediction interval for Ozone when the temperate is 84 degrees Fahrenheit. Report the upper bound of this interval. Enter answer here15. 1 air'quali'ty : na.omit(airquality) Using the model from Question 13, calculate the ratio of: - The sample variance of residuals for observations with a tted value less than 3.5 - The sample variance of residuals for observations with a tted value greater than 3.5 {While not a formal test for the equal variance assumption, we would hope that this value is close to 1.) Enteranswer here Run Reset 1 point For Questions 4-9, use the LifeCycleSavings dataset that is built into R. Run Reset Fit a multiple linear regression model with sr as the response and the remaining variables as predictors. What proportion of observations have a standardized residual less than 2 in magnitude? Enter answer here Run Reset Continue using the model fit in Question 4. Note that each observation is about a particular country. Which country [observation] has the standardized residual with the largest magnitude? Enter answer here Run Reset Continue using the model fit in Question 4. How many observations have "high" leverage? Use twice the average leverage as the cutoff for "high." Enter answer here 1 1 point Run Reset Continue using the model fit in Question 4. Which country (observation) has the largest leverage? Enter answer here 1 1 point Run Reset Continue using the model fit in Question 4. Report the largest Cook's distance for observations in this dataset. Run Reset Continue using the model fit in Question 4. Find the observations that are inuential. Use 3 as the cutoff for labeling an observation influential. Create a subset of the original data that excludes these influential observations and ret the same model to this new data. Report the sum of the estimated [3 coefcients. Enter answer here
