Question

The voltage output (y) of a battery was measured over a range of temperatures (x) from 0◦ C to 50◦ C. The following figure is a scatterplot of voltage versus temperature, with three fitted curves superimposed. The curves are the linear model y = β0 + β1 x + ε, the quadratic model y = β0 + β1 x + β2 x2 + ε, and the cubic model y = β0 + β1 x + β2 x2 + β3 x3 + ε. Based on the plot, which of the models should be used to describe the data? Explain.

(i). the linear model.

(ii). the quadratic model.

(iii). The cubic model.

(iv). All three appear to be about equally good.

Answer #1

**ANSWER::**

**NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE
SUPPORT ME WITH YOUR RATING...**

*****PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME
NOW....PLEASE SUPPORT ME ....THANK YOU**

Use the Excel output in the below table to do (1) through (6)
for each ofβ0, β1,
β2, and β3.
y = β0 +
β1x1 +
β2x2 +
β3x3 + ε
df = n – (k + 1) = 16 – (3 + 1) = 12
Excel output for the hospital labor needs case (sample size:
n = 16)
Coefficients
Standard
Error
t Stat
p-value
Lower 95%
Upper 95%
Intercept
1946.8020
504.1819
3.8613
0.0023
848.2840
3045.3201
XRay (x1)
0.0386...

Use the Excel output in the below table to do (1) through (6)
for each ofβ0, β1,
β2, and β3.
y = β0 +
β1x1 +
β2x2 +
β3x3 + ε
df = n – (k + 1) = 16 – (3 + 1) = 12
Excel output for the hospital labor needs case (sample size:
n = 16)
Coefficients
Standard
Error
t Stat
p-value
Lower 95%
Upper 95%
Intercept
1946.8020
504.1819
3.8613
0.0023
848.2840
3045.3201
XRay (x1)
0.0386...

We give JMP output of regression analysis. Above output we give
the regression model and the number of observations, n,
used to perform the regression analysis under consideration. Using
the model, sample size n, and output:
Model: y = β0 +
β1x1 +
β2x2 +
β3x3 +
ε Sample size:
n = 30
Summary of Fit
RSquare
0.956255
RSquare Adj
0.951207
Root Mean Square Error
0.240340
Mean of Response
8.382667
Observations (or Sum Wgts)
30
Analysis of Variance
Source
df
Sum...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 24 minutes ago

asked 41 minutes ago

asked 41 minutes ago

asked 41 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago