A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program
was used to obtain the least squares linear regression line and the computer output is
shown below. Along with the paired sample data, the program was also given an x value
of 2 (years of study) to be used for predicting test score.
Equation: y = mx + b
Statistics:
r2 = 0.83
r=0.91
Parameters:
. m- 10.90
. b = 31.55
Answer the following questions based on the information given above.
A student is predicted to earn a test score of 76. Which of the following values best represents
the number of years that he or she has studied Spanish? Assume that there is a significant
linear correlation between years of study and test score.
4.1 years
3.4 years
2.9 years
2.1 years

Full question :

Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.

a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.

b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.

c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

part b what is niki’s final score? enter your answer in the box. points

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

Step-by-step explanation:

The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15

To get Niki's final score, we calculate hence

+20-10-25 = -15 points