Question
(a) Perform a simple linear regression with mpg as the response and horsepower as the predictor. Describe the null hypotheses to which the p-values given
(a) Perform a simple linear regression with mpg as the response and horsepower as the predictor.
Describe the null hypotheses to which the p-values given in Table 3.4 correspond. Explain what conclusions you can draw based on these p-values. Your explanation should be phrased in terms of sales, TV, radio, and newspaper, rather than in terms of the coefficients of the linear model. Mad Libs are activities that have a person provide various words, which are then used to short story in unexpected (and hopefully funny) ways. a) Produce a scatterplot matrix which includes all of the variables in the data set.
(b) Compute the matrix of correlations between the variables.
(c) Perform a multiple linear regression with mpg as the response and all other variables except name as the predictors and print the results. Comment on the output. For instance:
i. Is there a relationship between the predictors and the response?
ii. Which predictors appear to have a statistically significant relationship to the response?
iii. What does the coefficient for the year variable suggest?
(d) Produce diagnostic plots of the linear regression fit. Comment on any problems you see with the fit. Do the residual plots suggest any unusually large outliers? Does the leverage plot identify any observations with unusually high leverage?
(e) Fit linear regression models with interaction effects. ny interactions appear to be statistically significant?
(f) Try a few different transformations of the variables, such as log(X), X, X2. Comment on your findings.
Opional
15. This problem involves the Boston data set, which we saw in the lab for this chapter. We will now try to predict per capita crime rate using the other variables in this data set. In other words, per capita crime rate is the response, and the other variables are the predictors.
(a) For each predictor, fit a simple linear regression model to predict the response. Describe your results. In which of the models is there a statistically significant association between the predictor and the response? Create some plots to back up your assertions.
(b) Fit a multiple regression model to predict the response using all of the predictors. Describe your results. For which predictors can we reject the null hypothesis H0 : j = 0?
(c) How results from (a) compare to your results from (b)? plot displaying the univariate regression coefficients from (a) on the x-axis, and the multiple regression coefficients from (b) on the y-axis. That is, each predictor is displayed as a single point in the plot. Its coefficient in a simple linear regression model is shown on the x-axis, and its coefficient estimate in the multiple linear regression model is shown on the y-axis.
(d) Is there evidence of non-linear association between any of the predictors and the response? To answer this question, for each predictor X, fit a model of the form
program that takes a string and integer as input, and outputs a sentence using those items as below. The program repeats until the input string isquit 0.the output is:
Eating 5 apples a day keeps the doctor away.
Eating 2 shoes a day keeps the doctor away. e: This is a lab from a previous chapter that now requires the use of a loop Threat Modeling Is a Core Element of the Microsoft Security Development Life cycle (SDL). As part of the design phase of the SDL, threat modeling allows software architects to identify and mitigate potential security issues early, when they are relatively easy and cost-effective to resolve.
1)Communicate about the security design of their systems
2)Analyze those designs for potential security issues using a proven methodology
3)Suggest and manage mitigations for security issues
Elevation of Privilege (EoP) Card Game:-Elevation of Privilege (EoP) is the easy way to get started threat modeling, which is a core component of the design phase in the Microsoft Security Development Life cycle(SDL). TheEoP card game helps clarify the details of threat modeling and examines possible threats to software and computer systems.The EoP game focuses on the following threats:
Spoofing
Tampering
Repudiation
Information Disclosure
Denial of Service
Elevation of Privilege
EoP uses a simple point system that allows you to challenge other developers and become your opponent's biggest threat.
1)Spoofing (S):-SpooFng (S) is the First suit of threats in the STRIDE threat enumeration.Spoofing describes any threat that allows an attacker (or accidentally causes a user) to pretend to be someone or something else. Accordingly, the characters on the cards are masked individuals wearing crowns - unknown attackers, pretending to be royalty.
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