You fit the linear model mpg wd and in the
summary the p-value for the line corresponding to wd is
shown to be <2e-16. You then fit the linear model mpg hp + wt
+ len + wd and the corresponding p-value is now equal
to 0.749. Provide some explanation for this difference.
mpg: miles per galon
hp: horse power
wt:
len:length
wd"width
wt: weight
You fit the linear model mpg wd and in the summary the p-value for the line...
please show your explanation thanks!
## ## Call: ## Im(formula = mpg ~ disp + hp + wt + osec, data = mtcars.train.df) ## ## Residuals: Min 1Q Median ## -4.3442 -1.1687 -0.4033 3Q Max 1.0519 5.9623 ## ## Coefficients: Estimate Std. Error t value Pr>t) ## (Intercept) 31.204891 10.909916 2.860 0.00967 ** ## disp 0.009432 0.012308 0.766 0.45245 ## hp -0.032908 0.025528 -1.289 0.21208 ## wt -4.978374 1.434757 -3.470 0.00242 ** ## qsec 0.434043 0.576267 0.753 0.46011 ## ---...
Let Y = Xβ + ε be the linear model where X be an n × p matrix with orthonormal columns (columns of X are orthogonal to each other and each column has length 1) Let be the least-squares estimate of β, and let be the ridge regression estimate with tuning parameter λ. Prove that for each j, . Note: The ridge regression estimate is given by: The least squares estimate is given by: We were unable to transcribe this...
PLEASE ANSWER ALL parts .
IF YOU CANT ANSWER ALL, KINDLY ANSWER PART (E) AND
PART(F)
FOR PART (E) THE REGRESSION MODEL IS ALSO GIVE AT THE
END.
REGRESSION MODEL:
We will be returning to the mtcars dataset, last seen in assignment 4. The dataset mtcars is built into R. It was extracted from the 1974 Motor Trend US magazine, and comcaprises fuel consumption and 10 aspects of automobile design and performance for 32 automobiles (1973-74 models). You can find...
Problem 1:
A child on a bicycle has
a linear momentum of magnitude P = 1151 kg⋅m/s. The child
and the bicycle together have a combined mass of m = 110
kg.
33%
Part (a) Write an expression for the child's speed,
v, in terms of the variables given in the problem
statement.
v =
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α
β
θ
a
b
d
g
h
i
j
k
m
P
S
t
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7
8
9
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4...
Consider the following hypotheses:
H0: μ ≤ 270
HA: μ > 270
Find the p-value for this test based on the following
sample information. (You may find it useful to reference
the appropriate table: z table or t
table)
a. x¯x¯ = 277; s = 23; n =
18
0.025
p-value < 0.05
0.01
p-value < 0.025
p-value 0.10
0.05
p-value < 0.10
p-value < 0.01
b. x¯x¯ = 277; s = 23; n =
36
p-value
0.10
0.025
p-value <...
Consider the following hypotheses: H0: μ ≤ 610 HA: μ > 610
Find the p-value for this test based on the following sample
information. (You may find it useful to reference the appropriate
table: z table or t table)
a. x¯ = 618; s = 24; n = 26
p-value 0.10
0.05p-value
< 0.10
0.01
p-value < 0.025
p-value < 0.01
0.025 p-value < 0.05
b. x¯ = 618; s = 24; n = 52
0.025p-value
< 0.05
p-value
0.10...
One of your aunts (after having several glasses of wine) insists that there is a linear relationship between a state's population and the wine consumed there. You look up the following data from 2013 regarding the population per state (and D.C.) in millions of people and wine consumed in millions of liters: Variable n Population (51) (316.2049) (4437.7177) Wine (51) (2931.4609) (539997.52) Pop x Wine (51) (45983.94) N/A (a)Test to see if a significant linear relationship exists between the population...
Using the appropriate model, sample size n, and output:
Model:
Sample: n=8 S=.5561,
= 93.1% ,
adj = 90.3%
1. Report SSE,
, and s as shown on the output. Calculate
from SSE and other numbers. Report the total variation,
unexplained variation, and explained variation as shown on the
output. (Round answers to 4 decimal places.)
2. Report
and adjusted
as shown on the output. Calculate the F statistic. (Round your
answer to 3 decimal places.)
3. Find the...
In the summary output of a linear regression model in R, the p-value associated with the F-statistic will be small only when the p-values associated with all the single-effect t-tests are small, is this statement true?