Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (each pair of variables has a significant correlation) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.
Calories, X
160
170
130
130
90
180
Sodium, Y
430
480
340
380
260
550
(a)x=180 calories(c)=x=150 calories
(b)x= 100 calories(d)x=200calories
a)find the regression equation:
b) predict the value of y for x=180.
A.517.100
B.426.740
C.577.340
D. not meaningful
c)predict the value of y for x=100
A.276.140
B.426.740
C.577.340
D. not meaningful
d) Predict the value of y for x=150
A.276.140
B.517.100
C.426.740
D. Not meaningful
e)Predict the value of y for x=200
A.517.100
B.577.340
C.276.140
D. not meaningful
Part 2
The altitude (in thousands of feet) and speed of a plane (in feet per second) for the various altitudes is shown below.
Altitude, x
0
5
10
15
20
25
30
35
Speed, y
1101.9
1088.4
1053.1
1051.7
1012.7
1004.7
1048.6
968.1
a)calculate the correlation coefficient r.
r= (round to three decimal places as needed)
b)The Correlation is a (weak negative, strong positive, weak positive,) linear correlation.
Part 3
In a survey of 8000 women, 5431 say they change their nail polish once a week. Construct a 90% confidence interval for the population proportion of women who change their nail polish once a week.
a)a 90% confidence interval for the population proportion is round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed)
Final
27% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a)exactly two, (b) more than two, and (c) between two and five inclusive.
a)P(2)=
b) P(x>2)=
c) P(2