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13.A random sample of people in a community was selected and asked if they are in favour of building a nuclear power plant. The researcher

13.A random sample of people in a community was selected and asked if they are in favour of building a nuclear power plant. The researcher wishes to see if opinion and gender are independent. The observed frequencies are recorded in the following table

Male Female
In favour 14 10
Against 15 6
No opinion 13 17

Calculate the expected cell frequency for males in favour. Give your answer correct to two decimal places.

12 Student exam marks (out of 100) and the number of classes they missed in the trimester were recorded for a subject. Excel was used to investigate the potential linear relationship between these two variables. A section of the summary output is provided below:

Regression statistics

Multiple R

0.49

R square

0.24

Observations

84

Coefficients

Standard Error

Intercept

93.04

8.75

Classes missed

-7.84

3.67

What is the correlation coefficient?

Give your answer correct to two decimal places. Do NOT include units. Do NOT give a percentage

11.The management team of a large store is interested in the relationship between annual sales ($000) and the opening times (hours) of different franchise stores. The following regression output summarises the findings for a sample of franchise stores.

Regression Statistics

Multiple R

0.81

R square

0.6561

Adjusted R square

0.623295

Observations

96

Coefficients

Intercept

365.9

Opening times

4

How many observations were used to create this regression?

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