June 14th Jim Thompson Homework

Answers:

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

think about it deeply and passionately about this property

i am sorry

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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