Use the data in Exercise 5 to solve this exercise. a. Determine the correlation coefficient . rounded to two decimal places, between the percentage of people who won't try sushi and the percentage who don't approve of marriage equality. b. What explanations can you offer for the correlation coefficient in part (a)? c. Find the equation of the regression line for the percentage who won't try sushi and the percentage who don't approve of marriage equality. Round m and b to two decimal places. d. What percentage of people, to the nearest percent, can we anticipate do not approve of marriage equality in a generation where 30% won't try sushi?
Use the data in Exercise 5 to solve this exercise. a. Determine the correlation coefficient . rounded to two decimal places, between the percentage of people who won't try sushi and the percentage who don't approve of marriage equality. b. What explanations can you offer for the correlation coefficient in part (a)? c. Find the equation of the regression line for the percentage who won't try sushi and the percentage who don't approve of marriage equality. Round m and b to two decimal places. d. What percentage of people, to the nearest percent, can we anticipate do not approve of marriage equality in a generation where 30% won't try sushi?
Solution Summary: The author explains how to calculate the value of correlation coefficient r=+0.98.
Use the data in Exercise 5 to solve this exercise.
a. Determine the correlation coefficient. rounded to two decimal places, between the percentage of people who won't try sushi and the percentage who don't approve of marriage equality.
b. What explanations can you offer for the correlation coefficient in part (a)?
c. Find the equation of the regression line for the percentage who won't try sushi and the percentage who don't approve of marriage equality. Round m and b to two decimal places.
d. What percentage of people, to the nearest percent, can we anticipate do not approve of marriage equality in a generation where 30% won't try sushi?
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
RK
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Match the surfaces (a) - (f) below with the contour diagrams (1) - (6) below those.
(a) Surface (a) matches contour 5 V
V
(b) Surface (b) matches contour 2 V
(c) Surface (c) matches contour 1
(d) Surface (d) matches contour 6 V
(e) Surface (e) matches contour 4 V
(f) Surface (f) matches contour 3 V
(4)
(1)
-0.25
(a)
(b)
(c)
(d)
(e)
y
y
2.5
0.5
1.5
1.5
1.5
y
.3
0.25
OC
0.25
-0.25
(2)
X
1.5
ZI
(f)
y
0.01
0.01
(3)
☑
X
0.01
0.01
0.2
0.2
(5)
0 x
0.5
(6)
0.25
X
X
0.25
0.5
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At least one of the answers above is NOT correct.
The figure shows a hill with two paths, A and B.
(a) What is the elevation change along each path? 400
9400
✓ feet
(b) Which path ascends more rapidly? A v
(c) On which path will you probably have a better view of the surrounding
countryside (assuming that trees do not block your view)? A V
(d) Along which path is there more likely to be a stream?
A V
Note: You can earn 50% partial credit for 2-3 correct answers.
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9800'
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10000
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B
0
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4)
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Chapter 12 Solutions
Thinking Mathematically, Books a la carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
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Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY