MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The higher the absolute value of the correlation coefficient , the less accurate the prediction is of one variable based on the other variable.
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- A correlation of 0.95 for two variables X and Y implies that if X increases, there is a 95% chance that Y will also increase. Is this statement true or false?arrow_forwardA zero correlation bewteen X and Y is least likely to occur if?arrow_forwardState whether the slope of a simple linear regression line is statistically significant, then the correlation will also always be significant?arrow_forward
- Find an interesting instance where two variables are strongly correlated, but share no causal link. Explain the situation, describe the variables, and explain why it doesn't make sense for the data to be correlated.arrow_forwardWhat information does a regression coecient provide that a correlation does not?arrow_forwardHow are linear correlation tests and t-tests similar?arrow_forward
- A negative correlation indicates: the values on the two variables being analyzed move in opposite directions. a higher score on one variable is related to a higher score on the other variable. the scores of each case in a sample simultaneously on two variables the value on the two variables being analyzed move in the same direction.arrow_forwardwhat does it means that the variable are positively correlated?arrow_forwardWhat does a correlation coefficient of 2 indicate? There is a weak relationship between the two quantitative variables. It indicates a calculation error, as the correlation coefficient cannot be 2. There is a strong relationship between the two quantitative variables. It indicates a non-linear relationship between the two quantitative variables. There is no linear relationship between the two quantitative variables.arrow_forward
- The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, bo + b₁x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. a Answer How to enter your answer (opens in new window) Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. 9 S e $ A A Hours Unsupervised Overall Grades V 96 5 t 8 b Oll 0 0.5 1 3.5 4 5 5.5 95 92 85 83 81 73 63 h → U İ 8 i k N 9 O alt I * Р ctri Tables Copy Data Keypad Keyboard Shortcuts Previous step answers…arrow_forwardwe can conclude from correlation calculation that one variable caused the other variable. True or False.arrow_forwardWhen two variables have a perfect linear relationship, the correlation coefficient is always 1. True Falsearrow_forward
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