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Questicn 5 Ponts out of 9C0"NOt yet ansxered Hln = quezeionFind the Iinga ccrrelation between GPA and the number ol absencesGPAWmaaof ~biencer3.,35 1.20 1233 3...

Question

Questicn 5 Ponts out of 9C0"NOt yet ansxered Hln = quezeionFind the Iinga ccrrelation between GPA and the number ol absencesGPAWmaaof ~biencer3.,35 1.20 1233 3.95 1.682,78 2.50Select the rignt ansuer for cach queston carefullyVnar stnelneaiChooseregression cqujhion?Thcar cotceolionsuggests (hat 96 of thcyarancelin thcYariable ISChoose_"paired Ly(Note: Answers are separated Dy back sleh}Use the Unear "egression cquarion[0 pecicChcose _numinrorencorIa stlcent $ GPA is 300

Questicn 5 Ponts out of 9C0" NOt yet ansxered Hln = quezeion Find the Iinga ccrrelation between GPA and the number ol absences GPA Wmaaof ~biencer 3.,35 1.20 1233 3.95 1.68 2,78 2.50 Select the rignt ansuer for cach queston carefully Vnar stnelneai Choose regression cqujhion? Thcar cotceolion suggests (hat 96 of thc yarancelin thc Yariable IS Choose_ "paired Ly (Note: Answers are separated Dy back sleh} Use the Unear "egression cquarion [0 pecic Chcose _ numinr orencor Ia stlcent $ GPA is 300



Answers

Age, GPA, and Income A researcher has determined that a significant relationship exists among an employee's age $x_{1},$ grade point average $x_{2},$ and income $y .$ Themultiple regression equation is $y^{\prime}=-34,127+132 x_{1}+$ $20,805 x_{2} .$ Predict the income of a person who is 32 years old and has a GPA of $3.4 .$

So suppose that wants to estimate the effects of alcohol consumption on college grade point average co G p A. So one estimates the effects of alcohol. Uh huh. On called G P A. In addition to collecting information on grade point average and average and alcohol usage, we also obtain attendance Information safety, safety of lectures attended called Attend the standardized test score Say s A. T and ice KGB H s GPS also available. Now the first question says, Should we include attend along with alcohol as a Spanish variables in the multiple regression model. Think about how you interpret to be of alcohol. So the college great gpm the college g p A as many mainly depends upon the daily study hours, right? They attend us in college and the i q of individuals. So, um, previous test cause and all that. So here s a T from H um, high school g p A. So all these rapists are directly dependent upon the college GPS. So we must include attendance along with alcohol as a Spanish available in a multiple regression model. So we can say that college G P. A. Mainly depends. Maybe it depends on daily study hours Attendance. I like you previous test scores and all that. So all this very well depend on on the collar G p A. So we must include Or rather we should include the attendance which is attained along with alcohol. Yeah, as explanatory variable in the multiple regression model. Now, the other part of the question says should s a T and h high school g p a be included as explanatory variables explain so s etc standardized test cause and I school g p a h s g p a are also directly proportional to the collar GPU cause US city And on your eyes could you be important to your college g b So this two are directly Yeah, professional. So the college g p so like attendance. You should also include S N C and H S G p as a Spanish variables. So they must be included. They should be included asked Explanatory remembers. So that's the answer

So the problem gives us that the mean of it was equal to 108.9. The standard deviation of 13.17 the mean of G P A is equal to 7.447 a standard deviation of 2.1. Now, given the correlation is 0.6337 So first we need to find the least squares regression line for predicting GP A Given I keel, the key phrases least squares regression line. This tells us it's going to be a y equals MX plus being now we need to find em and be These are the two equations you should have written down for this. So I am or slow is equal to correlation time standard deviation y over standard deviation of acts and be our interceptor is equal to the mean of y minus slow times the mean of backs. So let's start with finding the swell first. So we have our that's 0.6337 and we have the standard deviation of y and x school were given in the problem which one was wide and which one was acts but you and if we didn't know that we can tell like you is going to be ex, cause that's the given and the one we're trying to solve for his g p A. So that's gonna be the why. So the standard deviation for G p A. Will go on top. That's the two point wine when a bottom will be the 13.1 Savannah and this is 0.101 now for B. We'll take the lean of why so 7.447 My minus the slow, which we just found is point y know, wine times the mean of X which is 108.9 and this is equal to negative three point by by 19 So now we can make our equation. Why is equal to em? So 0.101 packs minus three point by 519 and that is the end of part A. Now, for part B, we're going to calculates r squared. All we have to do is this. Take are from square it R squared is equal to 2.6337 squared, which is point for 016 Normally, you want this written as a percentage so 40.16% now for parts CIA. So a student has an I Q of 100 free and a G p a of 1000.5 free buying the residue on. Explain what it means. This is something else. You should have written down. Residue. U'll is equal to observe minus expected A. So we have our observed value. That's the 0.5 free. We're gonna be looking at the Wye Valley use of the GPS values. So we have a 0.5 free. We just need to find the expected. And the way we'll get are expected. It is by plugging in this 100 free into the equation. We laid it so I'll do it over here. Why is equal 2.1 a wine Times 100 free, minus free 1000.5519 And this is equal to six 0.851 wine. So now we have our observed and expected. So point by free minus six 0.8511 and we now know that the residue u'll is equal to negative 6.3211 So what does residue mean? It means that our equation was about 6.32 off the actual valley Ill. So you would use this to determine how good of an equation this is the and we are done.

Sorry, we're going to answer some questions about this relative frequency, hissed A graham. The first question is which category has the largest proportion of students? While there's two categories that have the largest proportion of students, those two categories are the highest bars. This bar from 2.45 to 2.65 and the bar from 2.65, 2, 2.85. So those are the categories where we have the highest proportion of students. And the second question, the proportion of students that fall in each one of those categories are going to be seven out of 30 because our vertical axis is measured in 1/30 and we're at the seventh line at the top here, So 7/30 and the last question, what proportion of students scored less than 2.65? Well we're going to add up the proportions for these four bars, The ones that are less than 2.65. So when we add up um 3/30 plus 3/30 plus 3/30 plus 7/30 That will give us a total of 16/30 as our proportion of students who scored less than 2.6.


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