5

Intersec Cars Befc Cars After 234 216 199 260 234 217 233 219 233 270 267 192 205 248 237 178 226 227 209 239 219 260 178 337 226 239 207 232 234 219 16 25] 174 216...

Question

Intersec Cars Befc Cars After 234 216 199 260 234 217 233 219 233 270 267 192 205 248 237 178 226 227 209 239 219 260 178 337 226 239 207 232 234 219 16 25] 174 216 208 203 246 225 236 253 219 215 256 181 320 203 249 253 197 211 235 249 211 220 248 250 167 225 254 209 252

Intersec Cars Befc Cars After 234 216 199 260 234 217 233 219 233 270 267 192 205 248 237 178 226 227 209 239 219 260 178 337 226 239 207 232 234 219 16 25] 174 216 208 203 246 225 236 253 219 215 256 181 320 203 249 253 197 211 235 249 211 220 248 250 167 225 254 209 252



Answers

Colors of Automobiles The popular car colors are shown. Construct a pie graph for the data. $$ \begin{array}{ll}{\text { White }} & {19 \%} \\ {\text { Silver }} & {18} \\ {\text { Black }} & {16} \\ {\text { Red }} & {13} \\ {\text { Blue }} & {12} \\ {\text { Gray }} & {12} \\ {\text { Other }} & {10}\end{array} $$

So in this question we are given a bunch off data about cars. So the data basically shows us the road test score off each car, the reliability off each car and the price and the price can basically be a function off the road. Test score on the reliability. So in the first question, what we want to find this the regression equation that can be used to predict the price. Kevin. Just the reliability rating. So if we want to predict the price using just still reliability reading, let's go ahead and build a linear regression equation. So we used that stools because linear regression input wide range is the column. Dean in our input X Range is the column. C. We keep our confidence level and we output. We have the summary output display at Sally 37 and let's go ahead and calculate our equation. So if we look over here, so we see are in our equation these air the coefficients for the intercept and reliability score. So we have. It's probably over there, so we have we're going to write are in question. Why equals two the Inbursa when we have the coefficient for reliability so minus this crimes live looking. So we have our equation for part C now part. He also asks us to test for significance using South articles 2.45 So if we look over here so we have our the value. So we see that our P value for our coefficient for reliability it's less than point off. So it's point or 398 So this is significant. So this is our inspiration. And with do you think with can you value less than point full first? That's a round circle. Partly now, her part being were asked to add, wrote a score and developed the equation, predicting the price of the car. So basically, for part A. We only took into a country I've really now. We also take into account road test score and reliability in the prediction off price. So let's change our input. Excellent. So we have the columns bi on D. C. And let's put our output over here. So let's put our output in surly 57. They quickly, and we are going to get our output. So from our output, we have the coefficients for the equation. So let's go ahead and write our equation. So we have why Mr Hold School are in cursive blocks coefficient time. So road. Okay, cool. Minus proficient times of reliability. So this is our answer to part people now, in part C, we're asked to predict the price when the road test scores 80 and the reliability creating is food. We were asked to predict why when the root test score is heating and reliability is four. So let's substitute these values into the equation and get our value for the price. So if we substitute the values, we will get a wise basically go to 26 46 course point with $0 which is three answer to part things. So we have our answers to party through. See over here.

So you want to find out because how long it takes for each car toxin rate. So notice that the graph that is given to us point by tense. So the first card is 2.5, but it's one over, so that's going to be 2.6 seconds. Uh, the Lamborghini you've when I find that your second car is past three seconds with one, so it's just three won't 3.1. The third Carp iss also the same. So they have the scene speech. It's 3.1 2nd So that's how long they take. And then the GT R. This takes a 63.12 before again in each little bar. It's 1/10 of them. This is three point for seconds, the Corvette as the same. So it's also to point for, and in the ferocity it is exactly 3.5 seconds. And that

Okay. This problem were asked to do. Ah, stem plot. Um, still believe brown for this horsepower information that we have for, uh, for automobiles. So I like, But I have a lot of aid I put into it. Spread. She either sell or, uh, little sheet kind of just ahead has been little funky with me before. Soy and prepared ahead of time. But you can put your numbers in. You don't have separate it if you just copy and paste it in here and in my begin analysis. And you see, I put you do the drop down a stem plot, and it kind of shows, um, all my information here. So I kind of already copied us. Some going to over here into my Wade ward hand part one wants us to stem clock so we can see and we got next range. And we get to see the distribution of a level of all of our values horsepower. And this question is not a multiple multiple part. So this consumer reports data. Um, this wants us to describe the distribution. Okay, so it's like a distribution here. We kind of see that is Ah. Oh, Walkie. not only symmetric E. I guess it is symmetric because all the information is equal amounts in each of these rows here. So for my data, I'm going to say the shape is really symmetric. Not a classic Semetic, where you have some on the outsides and a lot of the middle. It's kind of blocking because it's kind of evenly distributed. That zone right? Symmetric, though, and it's centered at about, Um, it's about 110 since he does the summary statistics for us down here, I mean, is 101 in the medians 100. So I guess the centrist more truly right here in the 100 area. So I must say about 100 media and seems like a good indication here for this 100 horse power. Um, and then it spread is you can use different values. Overall, it goes from 65 to 1 55 but a better indicator of spreads. You see the Q one to Q three here, the inter quartile range so say most values after his word spreads a most values quickly. Percent of values range from 72 1 25 horsepower, and there's a real unusual numbers here is not truly throughout liars. I'm positive it's a little unusual to see the numbers so evenly spread evenly distributed between 60 seventies and eighties. But that's the way what the graph shows. So our goal here was to describe this distribution and these words, Let's type over here describes it the best. And when I guess is I'm thinking out loud. Uh, it makes sense that if you're doing car designs, you could have kind of a nice uniform distribution because we're deciding to make different cars of different worst power ranges so you can have some letter lower horsepower and some better higher horsepower in your you're creating these things. Teoh work for the consumers. So that's the question of stem Alief graph in the distribution for this horsepower

We're gonna be looking at Problem nine of Chapter five, Section two. In this problem, a survey was done on how many automobiles a family household owns, where the data of the surveys given our table here X being the number of automobiles that a family does own and p of X being the probability that a family owns at many automobiles. Eso, for instance, there's a 27% chance that a household owns only one car and a 1% chance that I household owns five cars. So what we want to do is find the mean variance and standard deviation of the state of Let's start off by finding the mean say that Mu is equal to one times 0.27 plus two times your 20.46 plus three times your point to one plus four times 0.5 and plus five times you're a 50.1 This ends up giving us a mean equal to 2.7 Next, let's take a look at the variance, so we get one squared times 0.27 plus two squared him zero point for six plus three squared times 0.21 plus four squared times 0.5 and plus five squared times your point 01 minus cooper, 2.7 squared. That gives us a variance equal to zero point seven six 51 And, of course, our standard deviation is gonna be equal to the square root of that. It's a square is 0.76 51 gives us a standard deviation equal to zero point 87 47 And that is the mean variance and standard deviation of this data. Thank you.


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