A random sample of records of sales of homes in a city gives the Price and Size

Question

A random sample of records of sales of homes in a city gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (In thousands of dollars) from Size has an R2 of 69.8%. Write a sentence in context summarizing what the R2 says about this regression.

A A linear model on Size accounts for 30.2% of the variation in home Price.

B. A linear Price accounts for 30.2% of the variation in home Size.

C. A linear Size accounts for 83.5% of the variation in home Price.

D. A linear model on Size accounts for 69.8% of the variation in home Price.

E. A linear model on price accounts for 83_5% of the variation in home Size.

F. A A linear model on Price accounts for 60.8% of the variation in home Size.

Explanation / Answer

For he given sample of records

the Most close sentence in summarising R(squared) says about the regression is that

D. A linear model on Size accounts for 69.8 of the variation in the home price.

because R( Squared ) Represent how close our Experiment to the Best fit line means how much %age certain about our regression analysis on out deoendent and independent variables.  

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