An Introduction to Statistics by Arthur H. Hall (auth.)

By Arthur H. Hall (auth.)

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A) House prices to the nearest£ 1000 with classes £5000£8000£10000£15000-£25000 (b) Lengths of components from a factory measured to the nearest hundredth of an inch. 24. 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.

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.

Check that the groups are: Above G X 8 12 y 5 6 16 5 18 8 Below G X y 0 0 The remainder, on the line through G horizontally all have ordinates y = 4 and belong to neither group. ). 4 is the x-intercept. 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.

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