Question

A researcher wants to predict the finish position ( y) using the start position (x) in a car race. For 42 drivers in a second NASCAR race held in 1997, the summary of the sample data is given below. x y mean 25.5 25.5 Standard deviation 12.27 12.27 Correlation .285 (a).Calculate a regression equation with Y predicted by X. Show your (b).Use the equation of the fitted line to predict Y when X is 5 . (c). Find the coefficient of determination and give an interpretation of it in the context of the

Answer #1

A researcher collected the following data on years of education
(X) and number of children (Y) for a sample of married adults:
X
Y
12
2
14
1
17
0
10
3
8
5
9
3
12
4
14
2
18
0
16
2
a. Draw a scatterplot of the data.
b. Calculate the correlation between education and number of
children for this sample of 10 married adults.
c. Interpret the correlation between education and number of
children.
d. Is...

Suppose that a researcher collected the following set of data
on years of education (X) and number of children for a sample of
married adults:
X
Y
12
2
14
1
17
0
10
3
8
5
9
3
12
4
14
2
18
0
16
2
Draw a scatter plot of the data.
Write out the regression equation, then calculate and
interpret the meaning of the...

Study the following Minitab output from a regression analysis to
predict y from x. a. What is the equation of the regression model?
b. What is the meaning of the coefficient of x? c. What is the
result of the test of the slope of the regression model? Let α =
.10.Why is the t ratio negative? d. Comment on r2 and the standard
error of the estimate. e. Comment on the relationship of the F
value to the t...

12.4 Study the following Minitab output from a regression analysis
to predict y from x.
a. What is the equation of the regression
model?
b. What is the meaning of the coefficient of
x?
c. What is the result of the test of the slope of
the regression model? Let α = .10.Why is the t ratio
negative?
d. Comment on r2 and the
standard error of the estimate.
e. Comment on the relationship of the F
value to the...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

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