In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation was y-hat = 10 + 0.9x where y-hat is the predicted final-exam score and x is the score on the first test. Carla scored 95 on the first test. What is the predicted value of her score on the final exam?

LINEAR REGRESSION

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Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

A	85.5
B	90
C	95
D	95.5
E	98.5

Explanation:

Detailed explanation-1: -The formula for simple linear regression is Y = mX + b, where Y is the response (dependent) variable, X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept.

Detailed explanation-2: -Explain what the quantity S=2.74982 measures in the context of this problem. s is the standard deviation of the residuals. The difference between actual marriage length and predictent marriage length (for given courtship lengths) is 2.74982 yours, on average.

Detailed explanation-3: -The regression equation X on Y is X = c + dy is used to estimate value of X when Y is given and a, b, c and d are constant. Y = a + bx can also be interpreted as ‘a’ is the average value of Y when X is zero. X = c + dy, value c is the average value of X, when Y is zero.

There is 1 question to complete.

MACHINE LEARNING

APPLICATION OF SUPERVISED LEARNING

LINEAR REGRESSION