1) in a comprehensive road test on all new car models, one variable measured is the time it takes a car to accelerate from 0 to 60 miles per hour. to model acceleration time, a regression analysis is conducted on a random sample of 129 new cars. given: r^2= 0.6960 approximately what percentage of the sample variation in acceleration time can be explained by the simple linear model? (points : 1) 8% -17% 0% 70%

2)the coefficient of correlation between x and y is r = 0.59. calculate the coefficient of determination r^2

1) 70%

2) 34,81%

Step-by-step explanation:

Hello!

1)

The coefficient of determination R² is the percentage of the variability of the dependent variable (Yi) that is explained by the independent variable (Xi) under the simple linear model.

So your coefficient is R²= 0.6960 ≅ 0.70

70% of the sample variation in acceleration time is explained by the simple linear model.

2)

There is a mathematical coincidence between the coefficient of determination and the correlation coefficient (Person's r) if the correlation coefficient is squared, the coefficient of determination is obtained.

(r)²=R²

R²=(0.59)²= 0.3481

The coefficient of determination between Y and X is 34,81%.

I hope you have a SUPER day!

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.