Which statistical test do I use to compare two continuous variables in this ques

Question

Which statistical test do I use to compare two continuous variables in this question? And what do they mean by will this provide a good predictive model?

Consider body mass index BMI (BMI) as a continuous variable. Use weekly minutes of moderate exercise hours (WeeklyMinutesModerateExercise) in minutes per week as a continuous variable to predict BMI. Do you think this will provide a good predictive model? Also, does the relationship between BMI and weekly minutes of moderate exercise hours differ between those people under the age of 45 and greater than or equal to 45 years old?

Explanation / Answer

for the given problem BMI is an dependent variable on the independent variable WeeklyMinutesModerateExercise.

to predict the BMI from WeeklyMinutesModerateExercise we have to use the linear regression model.

before that we have to check the relationship between BMI and WeeklyMinutesModerateExercise by scatterplot or by using correlation coefficient.

also to check the relationship between BMI and weekly minutes of moderate exercise hours differ between those people under the age of 45 and greater than or equal to 45 years old we have to perform ANOVA.

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