In a linear regression model if the mean of the independent variable data is 10,the mean of the dependent variable data is 75 and the slope is 5,if x equals 15,the forecast,y,is
A)75
B)100
C)125
D)150

Question

Quizplus · Accepted Answer

The formula for a linear regression model is Y = a + bx, where Y is the dependent variable, x is the independent variable, b is the slope, and a is the intercept.

In this case, we know that the slope is 5, so the equation can be written as Y = a + 5x.

We also know that the mean of the independent variable data is 10 and x = 15. Using this information, we can find the intercept:

75 = a + 5(10)
a = 25

Now that we know the slope and intercept, we can use the equation to find the forecast for x = 15:

Y = 25 + 5(15)
Y = 100

Therefore, the forecast for x = 15 is 100.

In a Linear Regression Model If the Mean of the Independent