Many high school students take either the sat or the act. however, some students take both. data were collected from 60 students who took both college entrance exams. the average sat score was 912 with a standard deviation of 180. the average act score was 21 with a standard deviation of 5. the correlation between the two variables equals 0.817. to predict the sat score from a student's act score, what is the equation of the least-squares regression line? '

The equation of the least-squares regression line is .

Step-by-step explanation:

Consider the provided information.

If we know the mean and standard deviation for x and y, along with the correlation (r), we can calculate the slope b and the starting value a with the following formulas:

It is given that The average SAT score was 912 with a standard deviation of 180. The average ACT score was 21 with a standard deviation of 5. The correlation between the two variables equals 0.817.

Therefore, substituent in above formula.

The equation of the least-squares regression line is .

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d