= 0.96 (b) 96% (c) (4 points) Find the equation of the regression line. Round your answers t one decimal place value. a=1138) (270) - (42)1842) 8(270)-(42) a 나78 b= 8(842)- (42)138) 8(270)-(42)a 2.37 (e) Y=4•8+2.4X (d) (2 points) Predict y value if x = 3 assuming the linear correlation is signifi- %3D cant. y = 408+2.6(3) Y= 12.6 (d) _2.6 (e) (2 points) Predict y value if x = 3 assuming the linear correlation is not significant. 138 =17.25 8. 17.25 (e) Page 2 of 4 Study Guide 10 Total Points: 50 (e) 2. Suppose working with a set of 8 ordered-pairs, we gathered the following: Σ- 42, Σε?-270, Σy = 138 , Σ' = 270, Σεy-842 a) (3 points) Find the value of linear correlation coefficient. Round to three decimal places. r= 8(842)- (42)(138) V8(270)-(42ja v8(2670)-138) 2 =0.4815 %3D (a) 0.982 (b) (2 points) Find the value of coefficient of determination. Round to the near- est whole percent. ra=(0.982)2 = 0.96 (b) 96% (c) (4 points) Find the equation of the regression line. Round your answers t one decimal place value. a= 1138) (270)-(42)1842) 8(270)-(42)a 4.78 b= 8(842) -142)(138) 8(270)-(42)2 = 2.37 (c) Y=4.8+2·4X (d) (2 points) Predict y value if x = 3 assuming the linear correlation is signifi- %3D cant. Y = 408+2. 6(3) Y= 12-6 (d) _ \2.6 (e) (2 points) Predict y value if x = 3 assuming the linear correlation is not significant. 138 = 17.25 8. %3D 17.25 (e) Page 2 of 4 Study Guide 10 Total Points: 50

The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement

3. The speed (in miles per hour) of 8 vehicles and their braking distance (in feet) when stopping on a dry surface speed, x braking distance, y 20 30 40 50 50 60 65 70 55 72 75 110 138 162 193 225 type of correlation: Conclusion

Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and teachers in the U.S. for 11 years. Apply what you have learned in the previous tab to complete this graded lab questions. 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the corelation coefficient is R and not R Teachers y Principalsx 77.8 43.7 78.4 43.8 80.8 45.0 R= 80.5 45.6, 2. Does the R value represent a positive, negative or no correlation between the salaries ol the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 10 11 81.5 45.9 84.8 48.2 12 13 87.7 49,3 3. Write the equation of the regression line for the data below. The equation is y= 14 91.6 51.3 52.9 Teachers y 15 16 95.7 54.4 COD 54.2 =D0.5873x-2.0s07o R=0.995, 17 95.7 4. Use the regression equation that you found in exercise #3 to predict the average annual salary…

What kind of relationship is depicted in the following graph? 7 2 1 0 2 3 a. A positive linear correlation b. A nonlinear correlation c. No correlation Od. A negative linear correlation 6 9 10

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. (b) Would you say the correlation is low, moderate, or strong? positive or negative? a) moderate and positiveb) low and negative c) strong and positived) strong and negativee) low and positivef) moderate and negative As x increases, does the value of r imply that y should tend to increase or decrease? Explain. a) Given our value of r, y should tend to decrease as x increases.b) Given our value of r, y should tend to remain constant as x increases. c) Given our value of r, y should tend to increase as x increases.d) Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.

Which of the following denotes the slope or the regression coefficient for X?       A) The term a       B) The term b       C) The error term       D) The correlation coefficient, r

the number of rubber bands used and the distance, incentimeters, of her jump. When they created a scatterplotthe relationship appeared to be linear, and the correlationwas r = 0.996. After discussing these results, the teacherinstructed the students to convert the distances to inches.What effect will this have on the correlation between thetwo variables?a) Because 1 cm = 0.393701 inches, the correlationwill become .392126.b) Because 1 cm = 0.393701 inches, the correlationwill become 2.5298.c) Because only the length measurements have changed,the correlation will decrease substantially.d) Because changing from centimeters to inches doesnot affect the value of the correlation, the correlationwill remain 0.996. e) Because inches is a much more common measure-ment for distance in the United States, the relation-ship between the data will be stronger and thus the correlation will increase.

find t reject or fail to reject

Please help me with this question