Explain why the data point temperature 35 c at 270 seconds...

Transcript

00:01 All right this one says a regression model is desired should be designed relating desired relating temperature and proportion of impurity from a solid substance passing through solid helium temperature is listed in degrees centigrade the data are as presented here the data is presented below and then they say fit a linear recreation model that question a there question b does it appear that the proportion of impurities passing through the helium increases the temperature as it approaches minus 273 decrease centigrade and then question c says find rar squared okay then d says best on the information above does the linear model seem appropriate what additional information would you need to better answer that question so we have temperature and proportion the data that is given there right proportion of impurity there okay now let me see how i'm going to handle this how it presented this i've said right uh the first question says fit this in a linear fit this in a linear regression model so we have to find the linear equation water if you take the data there and calculate my a day was minus 113251 and my b was 0 .045 temperature there which is x i think right okay so does it appear that the proportion of impurities passing through helium increases the temperature as it pass yes if you look at the if you look at the table the temperature seems to be increasing there the temperature seems to be increasing so i said yes if you look at the table there as the impurities are passing through it seems to be increasing the temperature there then they say next question find r so my a r remember r squared is close 2 it's 1 minus s s e over s t there right but our s s e remember it is the sum of y and then our s t is b s sum of x y so if you calculate these right so in other ways we are justifying you're saying one minus the division of this okay and then and then you get your 0 .9355 there.

03:25 So that's my r squared there.

03:29 Okay.

03:31 And then the next question d says based on the information above does the linear model seem appropriate? what additional information would you need to better answer the question let you see this question d right? i say the proportion of impurities does depend on the temperature.

03:57 Yes.

03:58 You can see the proportion of impurity here over temperature.

04:04 As temperature is increasing, you can see the proportion of impurities is decreasing there...