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.  

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.