When looking at attendance data for the 2014-2015 school year, a principal graphed number of tardies. x, a student had when compared to their grade point average y. The principal found the correlation coefficient to be R= -0.94.

There is a strong or weak relationship between the number of tardies and the GPA?
The slope of this graph is positive or negative?

We need to remember that the limits for this correlation coefficient are

So then for the firt question:

Since the |r| =0.94 and is near to 1 we can ensure that we have a strong relationship between the two variables of interest

And for the second question:

The slope for this case would be negative since if one variable increase the other decrease (that represent the negative value for r)

Step-by-step explanation:

For this case we are comparing the number of tardies. x, a student had when compared to their grade point average y.

We alo know that the correlation coefficient between the two variables using this formula:

And for this case

We need to remember that the limits for this correlation coefficient are

So then for the firt question:

Since the |r| =0.94 and is near to 1 we can ensure that we have a strong relationship between the two variables of interest

And for the second question:

The slope for this case would be negative since if one variable increase the other decrease (that represent the negative value for r)

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

i think the answer would be c