Howdy! I am Professor Curtis of Aspire Mountain Academy here through even more statistics homework-related help. Today we"re going to learn how to usage StatCrunch to discover a regression line equation. Here"s our difficulty statement: Use the provided data to discover the equation of the regression line. Examine the scatter plot and also determine a characteristic of the information that is ignored by the regression line.
You are watching: Use the given data to find the equation of the regression line
OK, the first thing I desire to do is bring up my data set in StatCrunch. Now I"m going to resize this window so we deserve to watch every little thing that"s gonna go on here. OK, we"re set with that currently.The first component of our problem asks us to create a scatterplot. Inside StatCrunch, I can go up below to Graph and also then select Scatter Plot. However, I know that I"m gonna have to make a regression line equation eventually anymethod, and I acquire a scatter plot from the regression evaluation. So I"m simply going to perform that bereason it calls for me to push much less butloads.So to begin the regression analysis, I go to Stat –> Regression –> Simple Liclose to. Here in the options window, I"m going to select my x- and also my y-variables. And then I don"t need a mess via any type of of these various other settings; they"re all gonna be great for me. So I press Compute!, and also here in my results home window, notice exactly how it claims up right here 1 of 2. That means this is web page 1 of 2 peras total. To acquire to the second page, I go down to this arrow switch here in the bottom right corner, and also lo and also beorganize, there"s my scatterplot already made for me!Now in order to choose the best answer choice from the four that I"m choosing, notice just how the axes on my scatter plot below in StatCrunch are various than the ones for the answer alternatives in my difficulty. I have the right to adjust the axes below to match, and also that"ll make it a lot simpler to view which answer option is the ideal one. So I click this little bit three line symbol in the bottom left edge. And currently I have the right to select each axis separately and also change the values below for maximum and also minimum so that they enhance what I view in the problem statement. So I just did it for the X. I carry out the exact same point below for the Y. And tbelow we go. So currently we view which answer option is obviously the one we desire to pick. It"s going to be this one right here. Nice work!
OK, the second part of our difficulty asks us for the regression line equation. That"s really straightforward to execute. We"ve currently done the evaluation here. I simply flip back below to the first page, and my regression equation is ideal below at the optimal. I uncover there"s the majority of information here at the peak that"s crammed together, and so in order to obtain the numbers appropriate, I"m gonna look dvery own right here at the parameter estimates table. Notice these numbers right here are the very same numbers that we uncover up right here in the regression line equation, and everything"s laid out a little bit more here. So I"m simply going to take the numbers here from the parameters estimate table. You have the right to take it from wherever you want; it"s the same number either way.My instructions say to round the continuous two decimal locations as required. The consistent is the intercept, so I"m going to round that to two decimal locations. And then it says round the coeffective to three decimal areas. The coefficient for my x-variable is the very same as the slope, so that"s to three decimal locations. Good job!
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The last part of the problem claims, “Identify a characteristic of the data that is ignored by the regression line.” If we look at the different answer alternatives right here, let"s study them one by one. The first one right here claims there"s no trend in the information. Well, if I go earlier to my scatter plot, there"s absolutely a trend in the data. Many of the data right here fits this regression line pretty well.“There is no features of the data that is ignored by the regression line.” Well, probably, maybe not. Let"s examine out the other answer options. If the others do not pan out, then this one"s obviously going to be the one that"s best.The next answer alternative claims the information has a pattern that is not a straight line. Well, many of the information right here condevelops to your straight line regression line, so that"s obviously not true. The last option below states there"s an influential suggest that strongly affects the graph of the regression line. That"s certainly true. Look at this outlier suggest ideal below. OK, if we didn"t have actually this outlier point, this regression line would certainly dip dvery own a little bit and would certainly much better fit the data that we have right here in our data set. So this is the answer we"re going to desire to choose. Well done!And that"s exactly how we do it at Aspire Mountain Academy. Be certain to leave your comments below and also let us recognize just how excellent a project we did or just how we can improve. And if your stats teacher is boring or just doesn"t desire to help you learn stats go to slrfc.org, wright here you have the right to learn more around accessing our lecture videos or carry out feedback on what you"d choose to view. Thanks for watching! We"ll check out you in the following video.