Answer:
The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.
Step-by-step explanation:
The correlation coefficient r between this two variables is found to be 0.78.
This coefficient can be calculated as:

where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.
Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.
Answer:
46.2 mi is the right answer.
Step-by-step explanation:
In this question we will follow the property of congruence of two triangles.
Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
As we know in the congruent triangles all sides are in the same ratio.
Now we apply the property of the theorem



x = 46.2 mi
P=Ae^kt
225 = 210 * e^(k*(1990-1980)
225/210=e^10k ln(225/210)=10k
k=ln(225/210)/10=0.0069
P = 210*e^(0.0069t)
for 2000 ===> t = 2000-1980=20
P = 210*e^(0.0069*20)
P=241.0749=241
Answer:
Yes
Step-by-step explanation: