STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
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
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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 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_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_forwardThere 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_forward
- What 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_forwardThe coefficient of determination of a set of data points is 0.837 and the slope of the regression line is 3.26. Determine the linear correlation coefficient of the data. What is the linear correlation coefficient? (Round to three decimal places as needed.)arrow_forward
- Answer it correctly and explain well.Typed answer only. Do it fast.arrow_forwardThe data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 50 inches. Is the result close to the actual weight of 427 pounds? Use a significance level of 0.05. Chest_size_(inches) Weight_ (pounds)49 36851 38253 42061 48157 45745 287 What is the regression equation? y=___+___x (Round to one decimal place as needed.) What is the best predicted weight of a bear with a chest size of 50 inches? The best predicted weight for a bear with a chest size of 50 inches is __ pounds. (Round to one decimal place as needed.) Is the result close to the actual weight of 427 pounds?arrow_forwardThe regression equation is computed for a set of n = 18 pairs of X and Y values with a correlation of r = 0.50 and SSy = 48. Find the standard error of estimate for the regression equation. The standard error of estimate = How big would the standard error be if the sample size were n = 66? The standard error of estimate =arrow_forward
- You want to look at an ANOVA table of a regression in which a dependent variable is predicted using an intercept and one slope coefficient. Unfortunately, as you want to look at the table, you knock over your coffee mug which smudges out some of the numbers. Here is what you still can read: • n=7 • F-ratio = 15 • Residual sum of squares (RSS) = 16 • t-score of the slope coefficient = 3.873 How big is the explained sum of squares (ESS)? a 44 b 52 c 48 d 40 How big is the total sum of squares (TSS)? a 64 b 52 c 60 d 56 How big is the explained R-squared? a 0.7 b 0.75 c 0.8 d Cannot be determined What's the p-value for the F-ratio? a 0.012 b 0.024 c 0.036 d…arrow_forwardCou run a regression analysis on a bivariate set of data (n = obtain the regression equation 39). With 24.8 and = 43.4, you y = 2.058z - 27.113 with a correlation coefficient of r = 0.251. You want to predict what value (on average) for the response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? y = 343.3 (Report answer accurate to one decimal place.)arrow_forwardThe data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 63 inches. Is the result close to the actual weight of 562 pounds? Use a significance level of 0.05. Chest_size_(inches) Weight_ (pounds)58 41450 31265 49959 45059 45648 260 What is the regression equation?^y = ____ + _____ x (round to one decimal place as needed.)What Is the best predicted weight of a bear with a chest size of 63 inches? ^y =____ pounds (round one decimal as needed)Is the result close to the actual weight of 452 pounds?(a) This result is very close to the actual weight of the bear.(b) This result is close to the actual weight of the bear.(c) This result is exactly…arrow_forward
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