Question

In: Statistics and Probability

2. If the values of x in problem range from 2 to 25, should you use...

2. If the values of x in problem range from 2 to 25, should you use this model to predict the mean value of y when x =

a. 3 ?

b. -3 ?

c. 0 ?

d. 24 ?

3. Fitting a straight line to a set of data yields the following prediction line: Y = 16 - .05x

a. Interpret the meaning of y intercept, b0

b. Interpret the meaning of slope, b1

c. Predict the value for y when x = 6

4. How do you interpret a coefficient of determination, r2 = 0.80?

PREFERRABLY TYPED PLEASE. Easier for me to understand.

Solutions

Expert Solution

Ans 2 ) If the values of x in problem range from 2 to 25, should you use this model to predict the mean value of y when x =

a. 3 yes because it is inside the range 2 to 25

b. -3 no  because it is outside the range 2 to 25

c. 0 no  because it is outside the range 2 to 25

d. 24 yes because it is inside the renge 2 to 25

Ans 3 ) a straight line is Y = 16 - .05x

a)meaning of y intercept, b0 is , when x = 0 the predicted value of y is 16

b.)meaning of b1: for every one unit increase in X , on average mean value of y decrease by 0.05

c.) the value for y when x = 6 is16 - .05*6=15.7

4. interpret of coefficient of determination, r2 = 0.80

about 80% variation in Y can be explained by the value of x in this model

PREFERRABLY TYPED PLEASE. Easier for me to understand.


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