MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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What is the
a) 1.0
b) -1.0
c) 0.0
d) -0.5
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- Data were collected from 6 students:x = stress score on morning of test; y = grade on testx: 4 7 9 10 6 6y: 96 89 63 58 94 86a) Draw a scatterplot in space below. b) Determine the value of r. ________________c) Give the direction and strength of the correlation. _____________________________d) Find the equation of the regression line. __________________________e) Predict the grade for a student with stress level 7. ____________ f) Use the result of e) to find the residual for the data point (7,89). ___________g) Circle the correct choice and fill in the blank: For each additional point on thestress score, the grade for a student (increases, decreases) on average by about_______ points.h) Fill in the blank: ______ % of the variation in grades can be explained by thestress score. i) Fred’s stress score was 2. Will the regression equation accurately predict hisgrade? Explain. j) It turned out that, for the six students sampled, the correlation between thenumber of hours spent studying and…arrow_forwardWhich of the following statements is correct? O Changing the units of measurements of the explanatory or response variable does not change the value of the correlation. O A negative value for the correlation indicates that there is no relationship between the two variables. O The correlation has the same units (e.g., feet or minutes) as the explanatory variable. Correlation between y and x has the same number but opposite sign as the correlation between x and y.arrow_forwardFind teh correlation coefficient between X and Y X 57 58 59 59 60 61 62 64 Y 77 78 75 78 82 82 79 81arrow_forward
- Use the table to answer #5 and #6.5. Applicationa) Create a scatter plot of time spentwatching television versus number ofbooks owned.b) Characterize the correlation.c) Perform a linear regression and recordthe correlation coefficient. Does thissupport your answer to part b)? Explain.6. Repeat the analysis performed in #5 fora) time spent on the Internet versus numberof books ownedb) time spent on the Internet versus timespent watching televisionarrow_forwardFind the value of the linear correlation coefficient r. x 47.0 466 27.4 332 409 10 10 10 A) 0.156 B) -0.175 C) 0.175 D) 0arrow_forwardI would need help with find the value of the linear correlation coefficient r, please?arrow_forward
- Question 8 Correlation: Your manager feels employee holidays has a strong correlation with employee retention. Answer the questions below using table8. Table 8 Regression Statistics Multiple R 0.7029 R Square Adjusted R Square 0.4941 0.3254 Standard Error 9.5848 Observations 25 Standard Coefficients Error t Stat P-value Intercept 49.4549 29.7218 4.422514 0.194715 Holiday 0.5137 0.3001 51.64959 0.001854 v What is the equation using table 8? A. the correlation is strong and positive What does the coefficient of determination tell us in table 8 B. y = 0.5137 + 49.4549 (intercept) v Using table 8, the coefficient of correlation tells us C. 0.7029 of the change is explained by the x variable v If x is 40, what would the equation show for y (using table 8) D. 70.0 E. 1978.71 F. y = 49.4549 + 0.5137(retention) G. the correlation is moderate and positive H. the correlation is negativearrow_forwardIndicate which correlation coefficient represents a stronger relation between two variables A) -.85 B) +.65 C) 0.00 D) -.70arrow_forwardWhat is the dependent variable in a correlational study of ice cream sales and air temperature? O a) the amount of ice cream sold Ob) the temperature each day O c the number of people buying ice cream O d) a) or c)arrow_forward
- Which of the following choices could be the Pearson correlation between the x and y variables shown in the scatter plot shown here? a) .934 b) -.934 c) 1 d) 0arrow_forwardusing the excel data ... College Student Weekly Earnings in Dollars (n = 5) Hours Worked (X) Weekly Pay (Y) (xi - x̅)2 (yi - y̅)2 (xi - x̅)(yi - y̅) 11 95 16 173 22 210 18 157 30 270 x̅=?????? y̅=??????? SSxx SSyy SSxyarrow_forwardWhich of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99arrow_forward
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