Two variables have the regression lines 3x + 2y = 26 and 6x + y = 31. Find the mean values, the correlation coefficient between x and y and the ratio of variances of the variables.

Please assist not sure of my anwer. It’s statistics.

Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth. {(1, 4.3), (2, 6.4), (4, 7.8), (6, 11.7), (8, 16.4)}

True or False: If the correlation coefficient from two variables X and Y , the number of shark attacks and number of iced lemonade sales, respectively, is r= 0.98, we can conclude that an increase in iced lemonade sales causes an increase in shark attacks.

A sample of 50 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured. The linear correlation coefficient is 0.245 and the equation of the regression line is y=17.6 + 0.910x,where x represents height. The mean of the 50 heights is 62.9 in and the mean of the 50 pulse rates is 72.3 beats per minute. Find the best predicted pulse rate of a woman who is 67 in tall. Use a significance level of (alpha equals) α=0.05.

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…

we can conclude from correlation calculation that one variable caused the other variable. True or False.

if the slope is negative then is the correlation coefficient also negative?

Two variable are found to have a strong negative linear correlation. Pick the regression equation that best fits this scenario. y=0.82x−28 ˆy=0.32x−28 y= -0.82x+28 ˆy= -0.32x+28

When two variables have a perfect linear relationship, the correlation coefficient is always 1.  True False