Purchase Solution

Linear Correlation, Regression Lines and Measures of Variation

Not what you're looking for?

Ask Custom Question

1) Testing for a Linear Correlation
Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05. Determine whether the is sufficient evidence to support a claim of a linear correlation between the two variables.

Airline Fares Listed below are the costs (in dollars) of flights from New York (JFK) to San Francisco for US Air, Continental, Delta, United, American, Alaska, and Northwest. Use a 0.05 significance level to test the claim that there is no difference in cost between flights scheduled one day in advance and those scheduled 30 days in advance. What appears to be a wise scheduling strategy?

Flight scheduled 30 days advance 244 260 264 264 278 318 280
Fight scheduled one day in advance 456 614 567 943 628 1088 536
Create scatter plot

2) Finding the Equation of the Regression Line and Making Predictions
In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in
CPI and Subway Fare ; Find the best predicted cost of a slice of pizza when the consumer price index is 182.5 in the year 2000

CPI 30.2 48.3 112.3 162.2 191.9 197.8
Pizza 0.15 0.35 1.00 1.35 1.50 2.00

3) Finding the Equation of the Regression Line and Making Predictions
In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in

Commuters and Parking Space The Metro-North Station of Greenwich, CT has 2804 commuters . Find the best predicted number of parking spots at that station. Is the predicted value close to the actual value of 127?

Commuters 3453 1350 1126 3120 2641 277 579 2532
Parking Spots 1653 676 294 950 1216 179 466 1454

4) Finding Measures of Variation
Find (a) explained variation, (b) unexplained variation,(c) total variation, (d) coefficient of determination,and (e) standard error of estimate Se, In each case, there is sufficient evidence to support a claim of a linear correlation so that it is reasonable to use the regression equation when making predictions

CPI and Subway Fare The consumer price index and the cost of a slice of pizza from table 10-1
CPI 30.2 48.3 112.3 162.2 191.9 197.8
Pizza 0.15 0.35 1.00 1.25 1.75 2.00

Purchase this Solution
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

View More Free Quizzes
Related BrainMass Solutions

  • Correlation and regression - total variation

    305778 Correlation and regression - total variation Refer to the minitab display obtained by using the paired data consisting of weights (in lb) of 32 cars and their highway fuel consumption amounts (in mi/gal).

  • Correlation and Regression Review

    e. both b and d. f. all of the above. 37 r2 measures the reduction in the total sum of squares achieved by fitting the regression line. Choose one answer. a. True b.

  • Using Excel for Simple Regression Analyses

    The regression that produced the strongest correlation (with a correlation coefficient of r = 0.04 = 0.2) was the regression of OVERALL on BENEFITS.

  • Chapter 10, Section 2,3,4 Problem 16, Problem 26

    356119 Statistics: Scatter plot, linear correlation coefficient, critical values, linear correlation For Problems 16 and 26, construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table

  • 13 Statistics Questions

    137342 Correlation and causality, parametric and non-parametric data, simple and multiple linear regression 1. Does correlation equal causality? Why or why not? What is the difference between strong positive and strong negative correlation? 2.

  • Explaning results by the simple linear regression

    The solution contains detailed explanation of results by the simple linear regression method.

  • Regression Analysis

    Finding the Measures of Variation: Find the (a) explained variation, (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error estimate Se.

  • Regression Analysis

    The regression that produced the strongest correlation (with a correlation coefficient of r = √0.001 = 0.032) was the regression of EXTRINSIC on BENEFITS.

  • Significant correlation between women's age and women's weight

    Null Hypothesis Sample provides evidence to support linear correlation Regression Results: Y= b0 + b1x: Y Intercept, b0: 89.71354 Slope, b1: 1.700721 Total Variation: 55198.36 Using the data above Interpret r and r

View More Related Solutions