3) Suppose you wish to perform model selection in multiple regression, but your statistical program can only fit individual multiple regression models, and does not do best subset selection, stepwise selection, or backward selection. Which of these three model selection procedures will be easiest to implement by fitting a series of individual multiple regression models? Briefly explain how you would implement one of these three model selection procedures by fitting individual multiple regression models.

In comparing two multiple regression models, one with variables that are a subset of the other, bigger model’s variables, to infer which model is superior, I get confused in looking at R-squared, adjusted R-squared, and F-statistic values. What’s the difference among them and is one of these preferable to the others?  Thanks.

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be ?̂ =−1.5?+85y^=−1.5x+85. He also calculated that the value of ?r, the correlation coefficient, was −0.61. Which of the choices identifies the correct value of the coefficient of determination, ?2R2, and gives a correct interpretation of its meaning?

When comparing different multiple linear regression models to determine which is better for predicting a response variable, Y, why should we use the adjusted-R2 values instead of the plain R2 values?

Besides the Regression analysis, spatial analysis, and time series analysis, explain an additional alternative approach to conducting the analysis for explanatory variables and response variables for Meaghan’s post below about a peer-reviewed scientific study that is a strong example of data collection: Meaghan’s Post: The below study was completed by conservationists to see and better understand the movement of a specific marine mammal species.  The study was done in the waterways of California. The subject is monitored using a random 1.8; mile movement. Results of this project are analyzed by scientists and researchers. The species is a very curious one which allowed for better care and gained interest before committing to it. Ten observation stations were used about 2.4 km per the intervals were measured at equal intervals throughout. This often feels very accurate because the evidence is supported by science and other similar publications that allow due to interact without being…