MACHINE LEARNING

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APPLICATION OF SUPERVISED LEARNING

LINEAR REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a study of the relationship between SAT math scores (x) and SAT verbal scores (y), it was determined that the correlation coefficient was 0.68. Also, the mean SAT math score was 540 with a standard deviation of 125. The mean SAT verbal score was 498 with a standard deviation of 100. Which of the following is the least squares regression line for this data?
A
y “hat” = 204.24 + 0.544x
B
y “hat” = 66 + 0.8x
C
y “hat” =-177 + 1.25x
D
y “hat” = 39 + 0.85x
E
There is not enough information to determinethe equation
Explanation: 

Detailed explanation-1: -Coefficient of correlation is “R” value which is given in the summary table in the Regression output. R square is also called coefficient of determination. Multiply R times R to get the R square value. In other words Coefficient of Determination is the square of Coefficeint of Correlation.

Detailed explanation-2: -Correlation quantifies the strength of the linear relationship between a pair of variables, whereas regression expresses the relationship in the form of an equation.

Detailed explanation-3: -Both variables are different. Correlation coefficient indicates the extent to which two variables move together. Regression indicates the impact of a unit change in the known variable (x) on the estimated variable (y).

There is 1 question to complete.
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