A random sample of 145 married or de facto couples in the Sydney region has been selected to study non-verbal communication. An experiment was conducted requiring the subject to guess words shown to the partner, without any verbal communication. Some of the variables recorded for each couple are listed below.

Variable Description

subid Subject ID

sex sex of guesser

years the length of the relationship (in years)

percentage the percentage of correct guesses

Use Excel and/or probTool, and appropriate hypothesis tests, to address the following research question. Assume all the test assumptions are verified.

Research question: Can linear regression be used to predict the percentage of correct guesses from the length of the relationship (in years)?

Report the value of the estimated slope [use at least 4dp]:Answer

Report the value of the test statistic [use at least 2dp]:Answer

Report thep

p-value [use at least 3dp]:Answer

What percentage of the variation in the response variablecannotbe explained by the model? Please report a number between 0 and 100 [use at least 1dp].Answer

What is the decision of the test?Answer

a.There is evidence of a linear relationship between these two variables.

b.There is no evidence of a linear relationship between these two variables.