Data on x the weight of a pickup truck (pounds) and - distance (in feet) required for a truck traveling 40 miles per hour to come to a complete stop for 30 trucks was used to fit the least squares regression line y-26 + 0 05e which of the following statements is a correct interpretation of the value 0.05 in the equation of the regression line?

a. The correlation coefficient for this data set is 0.05
b. On average, the truck weight goes up 0.05 pound for each additional foot required to stop the truck.
c. On average, the stopping distance is 0.05 foot when the truck weight is 0.
d. On average, the stopping distance goes up 0.05 foot for each 1-pound increase in truck weight.
e. Approximately 5% of the variation in the stopping distances can be explained by the linear relationship between stopping distance and truck weight.

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24 units

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).