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STA1010 - Statistical methods for science - S2 2025

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Which of the labelled points in the following scatterplot will have the most impact on the regression line and increase the correlation coefficient of a linear model of the data?

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A telephone company finds that the mean call time is 45 seconds with a standard deviation of 10 seconds.

Each call costs ( 20 + 2T ) cents, where T is the call time in seconds.

The mean  cost of a call in cents is

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The following are costs of advertising (in thousands of dollars) and the numbers of products sold (in thousands).

The equation of the regression line is  .

Determine the R-Squared value for this data, using your scientific calculator or MS Excel.

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In determining the linear relationship between two variables, it does not matter which variable is considered the explanatory variable and which is considered the response variable, for the regression equation will be the same either way.

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Classify the variable as categorical or quantitative.

The waiting time at a bus stop in minutes.

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The frequency histogram shows the weights of a group of college students.

Which of the following descriptions best describes the shape, center, spread, and unusual features of the distribution.

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Marks on a test are out of 30. The median mark is 22. Marks have to be rescaled to be out of 20. The median, correct to one decimal place, of the rescaled marks is

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The test scores of 19 students are listed below.

36 45 49 53 55

56 59 61 62 65

69 71 75 79 83

86 91 93 97

Find the upper quartile (Q3).  Remember for odd data set, median is a data value and, strictly, is included in each half for the quartiles.

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Either by hand, MS Excel or using the special function on your calculator, calculate the standard deviation of the following set of numbers:

27     21     28     23     24     29     17

Give your answer correct to one decimal place.

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