For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eleven types of automobile, the linear correlation coefficient is found and the p-value is 0.043. write a statement that interprets the p-value and includes a conclusion about linear correlation. the p-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing%, which is ▼ low, high, so there ▼ is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

the radius is 2 times the diameter.

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.