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A multiple regression model is to be constructed to predict the heart rate in beats per minute (bpm) of a person based upon their age, weight and...
a)Find the multiple regression equation using all three explanatory variables. Assume that X1 is age, X2 is weight and X3 is height. Give your answers to 3 decimal places.
y^ = + age + weight + height
b)At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis
isis notrejected.
For parts c) and d), using the data, separately calculate the correlations between the response variable and each of the three explanatory variables.
c)The explanatory variable that is most correlated with heart rate is:
ageweightheight
d)The explanatory variable that is least correlated with heart rate is:
ageweightheight
e)The value of R2 for this model, to 2 decimal places, is equal to
f)The value of se for this model, to 3 decimal places, is equal to
g)Construct a new multiple regression model by removing the variable height. Give your answers to 3 decimal places.
The new regression model equation is:
y^ = + age + weight
h)In the new model compared to the previous one, the value of R2 (to 2 decimal places) is:
increaseddecreasedunchanged
i)In the new model compared to the previous one, the value of se (to 3 decimal places) is:
increaseddecreasedunchanged
