Question

1. a scatterplot and a least - squares regression line are shown in the figure below. if the point (the circled point) is removed from the data set, which of the statements below is true?

(a) the slope will decrease and the y - intercept will increase.
(b) the slope will decrease and the y - intercept will increase.
(c) the slope will increase and the y - intercept will decrease.
(d) the slope will increase and the y - intercept will decrease.
(e) no conclusion can be drawn since the coordinates of the other points are not known.

1. a linear regresssion was performed using the five following data points: a(1, 11), b(3,7), c(5, 2), d(7, 1), e(9, - 2). the residual for which of the five points has the largest impact on the lsrl? (use your calculator!!)

(a) point a (b) point b (c) point c (d) point d (e) point e

1. a recent study looked into the relationship between political views and opinions about nuclear energy. a survey administered to 100 randomly selected adults asked their political leanings as well as their approval of nuclear energy. the results are below:

what is the marginal distribution of political leanings?
(a) liberal: 27%, conservative: 19%, independent: 54%
(b) liberal: 10%, conservative: 15%, independent: 20%
(c) liberal: 10%, conservative: 9%, independent: 8%
(d) liberal: 45%, conservative: 27%, independent: 28%
(e) liberal: 17%, conservative: 4%, independent: 34%

Explanation:

Step1: Calculate total for each political party

For Liberal: \(10 + 9+8=27\)
For Conservative: \(15 + 2+2 = 19\)
For Independent: \(20+16 + 18=54\)

Step2: Calculate percentages

Total number of people \(=27 + 19+54 = 100\)
Percentage for Liberal: \(\frac{27}{100}\times100\%=27\%\)
Percentage for Conservative: \(\frac{19}{100}\times100\%=19\%\)
Percentage for Independent: \(\frac{54}{100}\times100\%=54\%\)

Answer:

A. Liberal: 27%, Conservative: 19%, Independent: 54%