AMS 5 Lecture Notes - Lecture 8: Scatter Plot, Ellipse

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peachsea-lion643

29 Apr 2017

School

UCSC

Department

Applied Math and Statistics

Course

AMS 5

Professor

Yonatan Katznelson

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AMS 5 Full Course Notes

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These equations come in several forms, for example: ax + by = c, y = y(0) + m(x-x(0), y = mx + b, the slope of a line is the ratio: y(1) y(0) x(1) x(0) In equations (ii) and (iii) above, the slope is given by m. change in y change in x rise run: the slope (m is the amount by which y changes if x changes by one unit. In other words: change in y =1 y y(0) = m(x-x(0) = m. We"re trying to make the vertical distance to the line we"re going to draw as small as possible. A: the regression line predicts that on average, they would have weighed about. A: so, the average weight for these women would have been about 140 lbs. a, question: by how much did average weight increase for every 1 inch in height, answer: 1 inch represents.

Related Questions

An attempt was made to evaluate the forward rate as a predictor of the spot rate in the Canadian treasury bill market?' For a sample of seventy-nine quarterly observations, the estimated linear regression. y = .00027 + .7916x was obtained,

where y = Actual change in the spot rate

x = Change in the spot rate predicted by the forward rate

The coefficient of determination was .097, and the estimated standard deviation of the estimator of the slope of the population regression line was .2759.

(a) Interpret the slope of the estimated regression line.

(b) Interpret the coefficient of determination.

(c) Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the true slope is positive, and interpret your result.

(d) Test against a two-sided alternative the null hypothesis that the slope of the population regression line is 1, and interpret your result.