STAT TECH IN BUSINESS & ECON LL\AC
18th Edition
ISBN: 9781264720545
Author: Lind
Publisher: MCG
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Chapter 13, Problem 23E
To determine
Check whether the slope of the regression line is different from zero at the level of significance
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The coefficient of determination of a set of data points is 0.784 and the slope of the regression line is -4.79. Determine the linear
correlation coefficient of the data.
What is the linear correlation coefficient?
r= (Round to three decimal places as needed.)
In a recent college statistics class, data was collected on each student's height and their shoe size. The first three tables of the regression output are below the conclusions. Please agree or disagree with the conclusions and, of course, state your statistical reasoning
1. There is sufficient evidence to believe that a statistically significant relationship exists between a student's height and his/her shoe size.
2. About 80% of the variation in shoe size is determined by the variation in height
3. For each change in height of 0.3598 inches, the student’s shoe size changes by 1.
TAMU admissions board believes the score you get on the SAT in high school can help predict your college GPA. Below is a regression model using the SAT scores and GPA for 83 college graduates. Calculate a 70% Confidence Interval for the slope of the regression line. Use 4 decimal places.(Note: The SAT scores have been divided by 100 just to make the numbers nicer) Simple linear regression results:Dependent Variable: GPAIndependent Variable: SAT/100GPA = 1.318967 + 0.174653 [SAT/100]Sample size: 83R (correlation coefficient) = 0.1487R-sq = 0.0221Estimate of error standard deviation: 0.118302Parameter estimates:
Parameter
Estimate
Std. Err.
DF
T-Stat
P-Value
Intercept
1.318967
0.3631
81
3.633
0.00049
Slope
0.174653
0.129086
81
1.353
0.1798
Use 4 decimal places
Chapter 13 Solutions
STAT TECH IN BUSINESS & ECON LL\AC
Ch. 13 - Prob. 1SRCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Bi-lo Appliance Super-Store has outlets in several...Ch. 13 - Prob. 4ECh. 13 - Prob. 5ECh. 13 - The owner of Maumee Ford-Volvo wants to study the...Ch. 13 - Prob. 2SRCh. 13 - Prob. 7ECh. 13 - Prob. 8E
Ch. 13 - Prob. 9ECh. 13 - Prob. 10ECh. 13 - Prob. 11ECh. 13 - Prob. 12ECh. 13 - Prob. 3SRCh. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - Prob. 15ECh. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Prob. 20ECh. 13 - Prob. 4SRCh. 13 - Prob. 21ECh. 13 - Prob. 22ECh. 13 - Prob. 23ECh. 13 - Prob. 24ECh. 13 - Prob. 5SRCh. 13 - Prob. 25ECh. 13 - Prob. 26ECh. 13 - Prob. 27ECh. 13 - Prob. 28ECh. 13 - Prob. 29ECh. 13 - Prob. 30ECh. 13 - Prob. 6SRCh. 13 - Prob. 31ECh. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Refer to Exercise 16. a. Determine the .95...Ch. 13 - Prob. 35ECh. 13 - A regional commuter airline selected a random...Ch. 13 - Prob. 38CECh. 13 - Prob. 39CECh. 13 - Prob. 40CECh. 13 - Prob. 41CECh. 13 - Prob. 42CECh. 13 - Prob. 43CECh. 13 - Prob. 44CECh. 13 - The manufacturer of Cardio Glide exercise...Ch. 13 - Prob. 46CECh. 13 - Prob. 47CECh. 13 - Prob. 48CECh. 13 - Prob. 49CECh. 13 - Mr. William Profit is studying companies going...Ch. 13 - Prob. 51CECh. 13 - Prob. 54CECh. 13 - A regression analysis relating the current market...Ch. 13 - Prob. 56CECh. 13 - Prob. 57CECh. 13 - Prob. 58CECh. 13 - Prob. 59CECh. 13 - Prob. 60CECh. 13 - TravelAir.com samples domestic airline flights to...Ch. 13 - The North Valley Real Estate data reports...Ch. 13 - Prob. 64DA
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- For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyarrow_forward< Prev The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y = bo + b₁x, for predicting a woman's bone density based on her age. 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. Age 40 61 62 68 69 Bone Density 357 350 343 340 315 Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. Table Copy Data Nextarrow_forwardThe regression equation is Ý = 29.29 – 0.84X, the sample size is 23, and the standard error of the slope is 0.22. What is the critical value to test whether the slope is different from zero at the 0.01 significance level? Multiple Choice z = +1.700 t= +2.831 t= +2.479 z= +1.450arrow_forward
- There exists a moderate relationship between the variables x and y.if we draw samples of increasing sample size,what can we expect from the sample r value,the regression slope and the p value of the regression or correlation be affected by increasing sample sizearrow_forwardConsider a certain data set on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. Write the equation of the regression line for predicting height.arrow_forward< Prev The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, = bo + b₁x, for predicting a woman's bone density based on her age. 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. Age Bone Density 61 62 68 69 40 357 350 343 340 315 Step 4 of 6: Find the estimated value of y when x = 61. Round your answer to three decimal places. Table Copy Dataarrow_forward
- A car lot wants to predict the # of car accessories they need to sell monthly based on the number of cars sold. The car lot owner randomly selects 12 months of data. The simple linear regression equation is ý = 14 - 2x. The coefficient of determination is 0.6364. What is the correlation coefficient to describe the relationship between these two variables? Multiple Choicearrow_forwardWhat is dependent and independent variables? Fully write out the regression equation.What is the sample size used in this investigation? Fill in the blanks identified by ‘*’ and ‘**’. Is β significant, at the 5% level of significance?arrow_forwardTwo lines are proposed to describe the relationship between x and y for a particular data set. Shown below are the lines and the sum of squared error for each line. Line1: yˆ = 5+ 4x, Sumofsquarederror= 48.6 Line2: yˆ = 6 + 3.5x, Sumofsquarederror= 40.8 One of these two lines is the regression line. Which line is the regression line?arrow_forward
- Four pairs of data yield r= 0.942 and regression equation y=3x.Also, y= 12.75. What is the best predicted value of y for x= 2.9?arrow_forwardNextarrow_forwardIncorrect The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y = bo + bjx, for predicting a woman's bone density based on her age. 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 linke to make a prediction if the correlation coefficient is not statistically significant. %3D Age 36 38 54 59 60 Bone Density 326 323 321 314 311 Table Copy Data Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Answer How to enter your answer E Keypad E Tables Keyboard Shortcuts Tutor Skip Try Similar Submit Answer O 2020 Hawkes Learning MacBook Air esc 80 888 F1 F2 F3 FS F6 F7 FB F11 12 ! #3 $ & 1 2 4 6. 7 8 dele Q W E R Y { } 9- [ Wock A S D F G H J K V H ontrol option command command option *3arrow_forward
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