If the coefficient of determination for a linear

Question:If the coefficient of determination for a linear relationship is 0.49, what is the value of the correlation coefficient?If the correlation coefficient between two variables is 0.83, then we can say that y increases with an increase in x. True or FalseIf the correlation coefficient between two variables is 0.83, then we can say that y depends on or is caused by x.True or FalseAn ANOVA for the linear regression of instrumental hardness on sensory hardness provides the following information: SS Model (df=1) = 5.25, SS Error (df=10) = 2.5. What is the value of F?If R2=0.16 we can conclude that the relationship is not significant. true or falseWhen a process is in a state of statistical control it is producing product within its critical limits.true or falseIf the overall average of an X-bar chart is 24 and the average standard deviation of the associated s-chart is 3, what is the UCL on X-bar for subgroup size of 4?What is the average run length for a 2-s X-bar chart in a state of statistical control?The expected probability expressed in percent that a point will fall between 1 and 2 times the standard error (that is within zone B) below the mean (x-double bar) on an X-bar chart is?If p=0.001 for a linear relationship we can conclude that the relationship is strong enough to accurately predict the response from the factor. true or falseplease show the work and explain