R-squared and s

Question 1

A scatterplot modeling the relationship between number of months and account balance for a savings account are shown with three different prediction lines. Which line seems to best fit the data?

Revolt · Accepted Answer

[Image: A graph titled savings account has time (months) o...]

Question 2

The coefficient of determination that represents the relationship between the explanatory variable, age (in years) of semitrucks, and the response variable, their value (in dollars) is about 0.89. Complete the sentence to interpret the meaning of r2.

Revolt · Accepted Answer

The value of r2 = 0.89 tells us that about of the variation in the of the semitrucks is accounted for by the linear relationship created with of the semitrucks.: 89%; The value of r2 = 0.89 tells us that about of the variation in the of the semitrucks is accounted for by the linear relationship created with of the semitrucks.: value; The value of r2 = 0.89 tells us that about of the variation in the of the semitrucks is accounted for by the linear relationship created with of the semitrucks.: age

Question 3

Which of the following values could represent the value of r2 for this relationship?

Revolt · Accepted Answer

r2 = 0.9820

Question 4

The value of r2 for a relationship between distance (in miles) and the cost (in dollars) of a taxi ride in a metropolitan area is calculated using Desmos. Complete the sentence to interpret the value of r2.

Revolt · Accepted Answer

The value of r2 = tells us that about of the variation in the of a taxi ride is accounted for by the linear relationship created with the of the taxi ride.: 0.9866; The value of r2 = tells us that about of the variation in the of a taxi ride is accounted for by the linear relationship created with the of the taxi ride.: 99%; The value of r2 = tells us that about of the variation in the of a taxi ride is accounted for by the linear relationship created with the of the taxi ride.: cost; The value of r2 = tells us that about of the variation in the of a taxi ride is accounted for by the linear relationship created with the of the taxi ride.: distance (in miles)

Question 5

The value of s for a relationship between the number of withdrawals (explanatory variable) and the balance (in dollars) of a savings account (response variable) is calculated using computer software. Complete the sentence to interpret the value of s.

Revolt · Accepted Answer

The value of s = tells us that the predicted account balance is typically off of the actual balance by about .: 14.5535; The value of s = tells us that the predicted account balance is typically off of the actual balance by about .: dollars; The value of s = tells us that the predicted account balance is typically off of the actual balance by about .: $15

Question 6

Complete the sentence that describes the potential outlier.

Revolt · Accepted Answer

The point labeled with a(n) appears to be an outlier because it follow the pattern of the rest of the data and it has a residual.: C; The point labeled with a(n) appears to be an outlier because it follow the pattern of the rest of the data and it has a residual.: does not; The point labeled with a(n) appears to be an outlier because it follow the pattern of the rest of the data and it has a residual.: large

Question 7

Use the following regression analysis information to complete the sentence below.

Revolt · Accepted Answer

The potential outlier an influential point because it substantially change the slope, y-intercept, correlation, coefficient of determination, or standard deviation of the residuals.: is not; The potential outlier an influential point because it substantially change the slope, y-intercept, correlation, coefficient of determination, or standard deviation of the residuals.: does not

Question 8

Use this table to see the data values.Which of the following describes the circled point in the scatterplot? (Use Desmos or computer software).

Revolt · Accepted Answer

Outlier

Question 9

Use this graphic, which contains all of the information needed to answer the question regarding the relationship between weekly high temperatures and weekly ice sales.Select all the statements that accurately describe the relationship.The outlier slightly increases the y-intercept of the regression line.The outlier slightly decreases the y-intercept of the regression line.r2 increases substantially without the outlier.r2 decreases substantially without the outlier.The outlier slightly increases the slope of the regression line.The outlier slightly decreases the slope of the regression line.

Revolt · Accepted Answer

The outlier slightly decreases the y-intercept of the regression line.; r2 increases substantially without the outlier.; The outlier slightly increases the slope of the regression line.

R-squared and s Answers

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