R-squared and s Assignment

The value of s for a relationship between the number of hours and the number of gallons of water remaining in a tank is calculated using computer software. Identify and interpret the value of s by completing the sentence. The value of s= _______ _________ tells us that the average residual is about ______ gallons

4.80079 gallons 5

The value of r2 for a relationship between distance (in miles) and the cost (in dollars) of a shuttle bus from a hotel to an airport is calculated using computer software. Identify and interpret the value of r2 by completing the sentence. The value of r2= _________ tells us that about _____ of the variation in the _____ of a shuttle bus is accounted for by the linear relationship created with the ___________ of the shuttle bus.

96.80% 97% cost Distance (in miles)

The graph shows the relationship between the test scores and the number of daily hours using electronics. Complete the sentence that describes the circled point. the circled point appears to be a(n) ______ because it _______ follow the pattern of the rest of the data and it has a ______ residual. It also appears that the circled point ____ an influential point on the slope of the regression line.

Outlier does not Large is

The value of s for a relationship between number of seconds, x, and number of jumping jacks of an athlete, y, is calculated as 3.0725. Which of the following statements is the best interpretation of s?

b. The average residual is about 3.0725 jumping jacks.

The value of r2 for a relationship between gallons of gasoline used (explanatory) and the number of miles driven (response) by a certain car is calculated as 96.78%. Which of the following statements is the best interpretation of r2?

c. About 96.78% of the variation in the gallons of gasoline of the car is accounted for by the linear relationship created with the number of miles driven.

This table shows the relationship between time and push-ups. Which of the following values could represent the value of r2 for this relationship?

d.r2 = 0.9646

The graph shows the relationship between the temperature and the number of bottles of water sold at a concession stand. Complete the sentence. The circled point _________ the slope of the least-squares regression line

does not greatly change

The graph shows the relationship between years of job experience and job performance rating. Complete the sentence. The circled point ___________ the y-intercept of the least-squares regression line

does not greatly change

The graph shows the relationship between the speed Alex runs on a treadmill (mph) and his heart rate (bpm). Complete the sentence. The circled point ___________ the value of r2

substantially decreases

The graph shows the relationship between age and the number of miles run each week. Complete the sentence. the circled point _______ the value of s

substantially increases