NEED help 3 Linear Regression worksheet 11 The Linear Correlation Coefficient 1.
ID: 3311277 • Letter: N
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NEED help 3
Linear Regression worksheet 11 The Linear Correlation Coefficient 1. a Give an example of two variables that you believe would be positively correlated. Explain your reasoning b) a) b) Give an example of two variables that you believe would be negatively correlated. Explain your reasoning What does the linear correlation coefficient =-0.90 indicate? What does the linear correlation coefficient r = 0.35 indicate? 2. 3 For the eiven scatter-plot: state whether the variables appear to be positively correlated, negatively correlated, or to have no correlation describe the strength of the correlation as weak, moderately weak, moderately strong, or strong; then iff) estimate the value of the linear correlation coefficient. b) 4. The iven scatter plot shows age versus test score data for a test 300 of video game skills: Test Draw an approximate line of best fit Determine the equation for the line you drew Interpret the slope and the y-intercept of your line, if appropriate. If not appropriate, explain why not. Use your equation to predict the test score for a 60 year-old test-taker Estimate the value of the linear correlation coefficient for your line. Explain your reasoning a) b) c) 250 d) e) 30 50 e given scatter plot shows age versus test score data: a) b) c) 300 Draw an approximate line of best fit Determine the equation for your line Test Interpret the slope and the y-intercept of your line if appropriate. If not appropriate, explain why not. Use your equation to predict the test score for a 50 year-old taking the test. Estimate the value of the linear correlation coefficient for your line. Explain your reasoning d) 200 e) 25 30 35Explanation / Answer
3
a)i)The variables appear to be positively correlated.
ii)Note that the points are steeply going towards +1.
The variables move in same direction.The data points lie directly on line of fit.As one variable increases the other one also increases.
Hence,they are strongly positively correlated
iii)The value of correlation coefficient is nearly +1
b)i)The variables appear to be negatively correlated.
ii)The strength of relationship is weak and negative.If we fit the line to the data then points moderately cover the line.The data points are weakly moderately related.
iii)No particular estimate can be given for a moderately weak negative scatter plot.
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