Question
In: Statistics and Probability
(1 point) Given the following data set, let xx be the explanatory variable and yy be...
(1 point) Given the following data set, let xx be the explanatory variable and yy be the response variable.
| xx | 5 | 7 | 6 | 2 | 8 | 7 | 8 |
| yy | 7 | 4 | 4 | 9 | 3 | 3 | 2 |
(a) If a least squares line was fitted to this data, what
percentage of the variation in the yy would be explained
by the regression line? (Enter your answer as a percent.)
ANSWER: %
(b) Compute the correlation coefficient: r=
Solutions
orchestra answered 1 year agoRelated Solutions
Given the following data where city MPG is the response variable and weight is the explanatory...
Given the following data where city MPG is the response
variable and weight is the explanatory variable, explain why a
regression line would be appropriate to analyze the relationship
between these variables:
Model
City MPG
Weight
Mazda MX-5 Miata
25
2365
Mercedes/Benz SLK
22
3020
Mitsubishi Eclipse
23
3235
Pontiac Firebird
18
3545
Porsche Boxster
19
2905
Saturn SC
27
2420
Construct the regression line for this data.
Interpret the meaning of the y-intercept and the slope within
this scenario....
(1 point) Let θ(in radians) be an acute angle in a right triangle and let xx...
(1 point) Let θ(in radians) be an acute angle in a right
triangle and let xx and yy, respectively, be the lengths of the
sides adjacent to and opposite θ. Suppose also that x and y vary
with time.
At a certain instant x=8 units and is increasing at 1 unit/s, while
y=5 and is decreasing at 1/3 units/s.
How fast is θ changing at that instant?
1 point) If xx is a binomial random variable, compute P(x)P(x) for each of the following...
1 point) If xx is a binomial random variable, compute P(x)P(x)
for each of the following cases:
(a) P(x≤1),n=5,p=0.3P(x≤1),n=5,p=0.3
P(x)=P(x)=
(b) P(x>3),n=4,p=0.1P(x>3),n=4,p=0.1
P(x)=P(x)=
(c) P(x<3),n=7,p=0.7P(x<3),n=7,p=0.7
P(x)=P(x)=
Suppose we have the following data on a dependent variable (Y) and an explanatory variable (X):...
Suppose we have the following data on a dependent variable (Y)
and an explanatory variable (X):
X Y
0 140
1 140
4 0
0 180
3 80
2 120
4 0
1 200
2 120
3 40
Calculate the simple linear regression equation by hand. Show
all your work. Using your result, predict the value of Y when X =
3.5. (15 points)
Calculate the R2and the adjusted
R2measures (by hand) and provide an interpretation of
what they tell us. (12 points)
Test (by hand) to see whether this is...
Given a random variable XX following normal distribution with mean of -3 and standard deviation of...
Given a random variable XX following normal distribution with
mean of -3 and standard deviation of 4. Then random variable
Y=0.4X+5Y=0.4X+5 is also normal.
(1)(2pts) Find the distribution of YY, i.e. μY,σY.μY,σY.
(2)(3pts) Find the probabilities
P(−4<X<0),P(−1<Y<0).P(−4<X<0),P(−1<Y<0).
(3)(3pts) Find the probabilities
P(−4<X¯<0),P(3<Y¯<4).P(−4<X¯<0),P(3<Y¯<4).
(4)(4pts) Find the 53th percentile of the distribution of X.
Given that xx is a random variable having a Poisson distribution, compute the following: (a) P(x=1)P(x=1) when...
Given that xx is a random variable having a Poisson
distribution, compute the following:
(a) P(x=1)P(x=1) when μ=4.5μ=4.5
P(x)=P(x)=
(b) P(x≤8)P(x≤8)when μ=0.5μ=0.5
P(x)=P(x)=
(c) P(x>7)P(x>7) when μ=4μ=4
P(x)=P(x)=
(d) P(x<1)P(x<1) when μ=1μ=1
P(x)=P(x)=
1. Given a data set with n = 10 observations, containing one independent variable, find the...
1. Given a data set with n = 10 observations,
containing one independent variable, find the critical
value for an F-test at α = 2.5% significance.
Show your answer with four decimal places
2. Given the following portion of an output
produced by a regression software package (with some values
missing), find the value of MSR:
ANOVA
df
SS
MS
F
Significance F
Regression
9
980.4187
?
?
?
Residual
75
220.7745
?
Total
84
1201.1932
Round your answer to...
1) In each scenario below, specify each variable as a response variable, an explanatory variable, or...
1) In each scenario below, specify each variable as a response
variable, an explanatory variable, or neither.
a. A researcher collects measurements of VO2 max and resting
heart rate on a group of
subjects to study the relationship between these two variables.
b. A real estate agent wants to be able to predict selling
prices of houses in Vancouver. He
collects data on 100 recently sold houses, recording their selling
prices, size, age, number
of bedrooms, and whether they had...
y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1...
y
x
xy
xx
yy
11.4
0
0
0
129.96
11.9
1
11.9
1
141.61
7.1
2
14.2
4
50.41
14.2
3
42.6
9
201.64
5.9
4
23.6
16
34.81
6.1
5
30.5
25
37.21
5.4
6
32.4
36
29.16
3.1
7
21.7
49
9.61
5.7
8
45.6
64
32.49
4.4
9
39.6
81
19.36
4
10
40
100
16
2.8
11
30.8
121
7.84
2.6
12
31.2
144
6.76
2.4
13
31.2
169
5.76
5.2
14
72.8
196
27.04...
y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1...
y
x
xy
xx
yy
11.4
0
0
0
129.96
11.9
1
11.9
1
141.61
7.1
2
14.2
4
50.41
14.2
3
42.6
9
201.64
5.9
4
23.6
16
34.81
6.1
5
30.5
25
37.21
5.4
6
32.4
36
29.16
3.1
7
21.7
49
9.61
5.7
8
45.6
64
32.49
4.4
9
39.6
81
19.36
4
10
40
100
16
2.8
11
30.8
121
7.84
2.6
12
31.2
144
6.76
2.4
13
31.2
169
5.76
5.2
14
72.8
196
27.04...
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