A multiple regression model is to be constructed to model the time spent using the internet per week among internet users. The explanatory variables are age, hours spent working per week and annual income.

Data has been collected on 30 randomly selected individuals:show data

a)Find the multiple regression equation using all three explanatory variables. Assume that x₁is age, x₂is hours working per week and x₃is annual income. Give your answers to 3 decimal places.

y

^

=+age +hours working +annual income

b)At a level of significance of 0.05, the result of the F test for this model is that the null hypothesisisis notrejected.

c)The value of R²for this model, to 3 decimal places, is equal to

d)The value of s for this model, to 3 decimal places, is equal to

e)The least significant explanatory variable in this model is:

age

hours working per week

annual income

f)Construct a new multiple regression model by removing the variableannual income. Give your answers to 3 decimal places.

The new regression model equation is:

y

^

=+age +hours working

g)In the new model compared to the previous one, the value of R²(to 3 decimal places) is:

increased

decreased

unchanged

h)In the new model compared to the previous one, the value of s (to 3 decimal places) is:

increased

decreased

unchanged

i)The better model is the:

original model

reduced model

[1point]

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