![]() ![]() Now that we found the value of □, the sum of □, the sum of □, the sum of □ squared, and the sum of □ times □, we’re ready to find the values of □ and □. And if we calculate this expression, we see we get the sum of □□ is equal to 2048. And we need to add this to our previous product.Īnd we need to follow this process for all of the columns in our table, giving us the following expression for the sum of □□. We need to multiply these together to get 22 times 18. The □-value is 22, and the □-value is 18. We need to do the same with the second column in our table. ![]() We need to multiply these together to get 10 times 25. The □-value is 10, and the □-value is 25. So let’s start with the first column in our table. This is more tricky because we need to find the sum of □ multiplied by □ for each of the data points in our table. We need to find the sum of □ multiplied by □. There’s only one more thing we need to calculate. So in our table, we get the sum of □ squared is equal to 10 squared plus 22 squared plus 22 squared plus 13 squared plus 16 add 21 squared. To find the sum of □ squared, we need to square all of our values of □ in the table and then add these together. Next, let’s find the value of the sum of □ squared. We have two more things we need to calculate. This means we’ve so far managed to find the values of □, the sum of □, and the sum of □. We get that the sum of □ is equal to 121. So in this case the sum of □ is going to be 25 plus 18 plus 24 plus 25 plus 12 plus 17. We just want to add all of the values of □ in our table together. We see that it’s equal to 104.Īnd we can then do exactly the same thing to find the sum of □. So in this case, the sum of □ is 10 plus 22 plus 22 plus 13 plus 16 plus 21. We just need to add all of the □-values in our table together. We can also find the sum of □ and the sum of □ from our table. We can see that there are only six data points in this example. We can actually see this directly from our table. Once we’ve found these five values, we just need to substitute these into our formulae to find the values of □ and □. We need to find the value of □, the sum of □, the sum of □, the sum of □ times □, and the sum of □ squared. First, although this seems very complicated, there are only five things we need to find. However, there’s a lot of things we need to take in. We’re now ready to start finding the equation of our regression line. Similarly, the mean value of □ will be the sum of □ over □. The mean value of □ will be the total of all of our data points of □ divided by the number of data points. Similarly, we know how to find the average value of □ and □. We also need the formula for □ sub □□, □ sub □□, and □ bar and □ bar.įirst, we recall □ sub □□ is equal to the sum of □ squared minus the sum of □ all squared over □ and □ sub □□ is the sum of □ times □ minus the sum of □ times the sum of □ over □. Of course, this alone is not quite enough to find the values of □ and □. And our value of □ is going to be equal to □ bar minus □ times □ bar, where □ bar is the mean □-value and □ bar is the mean □-value. □ will be equal to □ sub □□ divided by □ sub □□, where □ sub □□ is a measure between the covariance of □ and □ and □ sub □□ is a measure of the variance of □. We recall to find the least squares regression line between two variables □ and □, we can use the following formula. To answer this question, let’s start by recalling how we find the least squares regression line linking two variables □ and □. We’re also told we only need to approximate the value of □ and □ to three decimal places. We’re told to give our answer in the form □ hat is equal to □ plus □□. We need to use this table to find the equation of the regression line linking □ and □. In this question, we’re given a table of data points which show a relationship between two variables, the variable □ and the variable □. Approximate □ and □ to three decimal places. Find the equation of the regression line in the form □ hat is equal to □ plus □□. The table shows the relation between the variables □ and □. ![]()
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The TIFF guy thought it was actually really creative in leaving all those looseleaf papers and drawings in. I felt so dejected, but then I got a call from TIFF, congratulating me and saying we were in. ![]() I didn’t think we were even going to get in. “Everything was sort of a disaster, sending storyboard drawings. ![]() Munden, with co-writer and co-animator Neil Rathbone and producer Mike Glasz, submitted only 20 per cent of The Chaperone to the 2013 Toronto International Film Festival. Everything was like re-inventing the wheel for us.” And, honestly, though we are credited as animators, we had no real animation training at school. “But in terms of the volume of work involved, it was so much more than anything we had done before. “It took us so long to get our bearings together, so we decided to get a feel from the festivals if we were on the right track,” says Munden, who graduated with a degree in communications from Concordia. In fact, even before The Chaperone was completely finished, it was entered into a slew of film fests and, among other honours and cash awards, it picked up the Gold Audience Award and Most Creative Short Award at Fantasia and the Coupe du Court Grand Prize for best short in Quebec at Prends ça court.Īrticle content The Chaperone director Fraser Munden and teacher-hero Ralph Whims. Some of the funding for The Chaperone came from Vaseline and Pepper winning $2,500 in technical services for having taken The Norman McLaren Award for best short at the 2010 Montreal World Film Festival. Why I Was Out There deals with an alleged UFO sighting in the Point, while the equally whimsical Vaseline and Pepper focuses on the tale of a 12-year-old who made himself a bogus beard of Vaseline and pepper flakes in order to get into a strip club. The Chaperone is actually the third short in a trilogy based on stories Munden heard while growing up. 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With such rich and riveting source material, Munden could have easily re-enacted this drama in a live-action film that would have taken just a few weeks to shoot and edit. Whims did get a wee bit of help from the dance DJ, Stefan Czernatowicz, but his martial-arts prowess became the stuff of legend in the Point. 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( Figure from the History Database of the Global Environment, published by Netherlands Environmental Assessment Agency 2007)įor most of us, however, this is merely a statistical quirk, and, unless we are lucky with our family tree research, we run into the sand in the mid-sixteenth century, before which time Parish Registers did not have to be kept.If we have linked into a family that was prominent by that time, we can boast of being descended from Charlemagne, from William the Conqueror, from Robert the Bruce or Hugh Capet. There are around 38 generations between Charlemagne and the present, which means, if there were no intermarriage between your ancestors, you would have 2 to the power of 38 individual progenitors in 800 AD – that is some 274 billion (yes, billion) people at a time when the world population has been estimated at around 240m. Statistically, if your grandparents were born in Europe before the First World War, you are almost certainly descended from Charlemagne, the first Holy Roman Emperor, crowned on Christmas Day in the year 800. 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