By Arthur H. Hall (auth.)
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Extra info for An Introduction to Statistics
How far is it from A to B? Or in less personal situations. How much is spent on football pools each week? How many unemployed were there last month? Rarely is an answer given which is a completely accurate representation of the truth; indeed in many cases this is impossible, in others the answer can vary according to context. 'I'm sixteen' may sound better to a teenager than 'nearly sixteen' although an insurance company would prefer the number 'fifteen' as this means 'not yet sixteen'. The Department of Employment would give a 'rounded' number for the unemployed last month as the collection of such figures for a number of centres can lead to errors.
09 31 (c) Time for soluble aspirin to dissolve in seconds. 20-23 24-27 28-31 32-35 36-39 2. The areas of a sample of farms are given to the nearest 10 acres. Calculate the mean and standard deviation. Area (acres) Number 10-90 12 100-140 8 240-280 9 150-230 13 290-510 6 520-840 4 3. A second sample has true areas Area (acres) Number 1012 1008 15013 2409 2906 5204 8500 Write down the mean and standard deviation. 4. e. length of life when transferred from salt water to fresh) gave a marine biologist the following results: Tolerance (minutes) % Shrimps 40- 45- 2 7 5019 5527 6026 6516 703 750 (tolerance recorded to the nearest minute) Calculate the mean tolerance to the nearest minute and the standard deviation to the nearest half-minute.
Although this sounds complicated it is more easily understood if one realises that x andy have interchanged roles in obtaining this second regression line, which is known as the line of regression of l' on y. One based on a division of x values is a regression of y on x. A regression line of y on x, y = mx + c gives the best forecasts of values of y from known values of x. 54 A regression line of x on y, x = My + C gives the best forecasts of values of x from known values of y. 9. 7 Correlation The closer the scatter of points to a straight-line pattern, the higher (numerically) is the correlation.
An Introduction to Statistics by Arthur H. Hall (auth.)