Question

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?

Lemon Imports |
228 |
266 |
357 |
483 |
534 |
||
---|---|---|---|---|---|---|---|

Crash Fatality Rate |
15.9 |
15.6 |
15.4 |
15.3 |
14.9 |

What are the null and alternative hypotheses?

Ho: p=0

H1: p≠0

a) The linear correlation coefficient r is

b)The test statistic t is

c)The P-value is

Answer #1

The statistical software output for this problem is:

Hence,

a) r = -**0.942**

b) t = -**4.856**

c) P = **0.0167**

Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using
alphaαequals=0.050.05.
Is there sufficient evidence to conclude that there is a linear
correlation between lemon imports and crash fatality rates? Do the
results suggest that imported lemons cause car fatalities?
Lemon Imports
228
264
359
480
533
Crash...

Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using alpha = 0.05. Is there sufficient evidence to
conclude that there is a linear correlation between lemon imports
and crash fatality rates? Do the results suggest that imported
lemons cause car fatalities?
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230
15.8
266 ...

7. Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using alphaequals0.05. Is there sufficient evidence to
conclude that there is a linear correlation between lemon imports
and crash fatality rates? Do the results suggest that imported
lemons cause car fatalities?
Lemon_Imports_(x)
Crash_Fatality_Rate_(y)
231 15.9
264 15.7
358 ...

a)Listed below are annual data for various years. The data are
weights (metric tons) of lemons imported from Mexico and U.S. car
crash fatality rates per 100,000 population.
Lemon imports
230
265
358
480
530
Crash fatality rate
15.9
15.7
15.4
15.3
14.9
Draw a scatterplot of these two variables and comment on the
following:
There appears to be
[ Select ]
["a
strong positive",...

the table below shows lemon imports (in metric tone) and cash
fatality rate.
lemon imports[ 230 265 358 480 530]
crash fatality rate[ 15.9 15.7 15.4 15.3 14.9 ]
a) are lemon imports and crash fatality rate correlated? test at
5% significance.
b)Using a regression line, what do you predict the crash
fatality rate when 500 metric tons of lemons are imported?

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed lemon/crash data, where
lemon imports are in metric tons and the fatality rates are per
100,000 people, find the best predicted crash fatality rate for a
year in which there are 425 metric tons of lemon imports. Is the
prediction worthwhile? Lemon Imports 226 266 364 469 544 Crash
Fatality Rate 15.9 15.7 15.4 15.3 14.8

Find the regression? equation, letting the first variable be the
predictor? (x) variable. Using the listed? lemon/crash data, where
lemon imports are in metric tons and the fatality rates are per?
100,000 people, find the best predicted crash fatality rate for a
year in which there are 475 metric tons of lemon imports. Is the
prediction? worthwhile? Lemon Imports 229 267 362 485 517 Crash
Fatality Rate 15.9 15.8 15.4 15.3 14.9 Find the equation of the
regression line y...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed lemon/crash data, where
lemon imports are in metric tons and the fatality rates are per
100,000 people, find the best predicted crash fatality rate for a
year in which there are 450 metric tons of lemon imports. Is the
prediction worthwhile?
Lemon Imports 231 268 350 461
550
Crash Fatality Rate 15.9 15.6
15.2 15.3 15
Find...

Find the regression line for the following set of data, where r=
−0.959 and use it to predict the crash fatality rate when lemon
imports is 500.
Lemon imports (x)
230
265
358
480
530
x̄=372.6
Sx=130.8
Crash fatality rates (y)
15.9
15.7
15.4
15.3
14.9
x̄=15.44
Sx=0.385
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 =
1.96, z0.05 = 1.645
When d.f.=6: t0.005 = 3.707, t0.01 = 3.143, t0.025 =
2.447, t0.05 = 1.943
When d.f.=9: t0.005 =...

resulting crash fatality rates. At a 0.05 level of significance
determine if there is sufficient evidence to support the claim
there is not a linear relationship between the weight of cars and
crash fatality rates? Given these results, what is the best
predictor of Y when X = 4000 lb?
X
Weight of Imports lbs
2300
2650
3580
4800
5300
Y
Car Crash Fatality
Average
15.9
15.7
16.8
17.2
19.1
What is the Null and Alternative hypothesis?
What is the...

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