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?

Yes

No

Step-by-step explanation:

The data is as follows;

X       YX*Y         X*X         Y*Y

230      15.9365752900252.81

265      15.74160.570225246.49

358      15.45513.2128164237.16

480      15.37344230400234.09

530      14.97897280900222.01

∑X = 1863∑Y = 77.2∑X² =762589   ∑Y² = 28571.7  ∑XY = 1192.56

The correlation coefficient is gives as follows;

Where n = 5, plugging in the values, we have r= -0.95896

We now find the test statistic s follows

plugging in the values gives t = -5.858

With df = 3, we have the probability given as p = 0.00496 which is lesser than α = 0.05 we therefore reject the null hypothesis therefore, yes there is correlation between lemon imports and crash fatalities.

No, because lemon imports and car fatalities only correlate, the cause of car fatalities will be found at the point the crash occurs.  

u what ?

step-by-step explanation:

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: