**Investigating the Relationship Between Batting Average and Games Won in Softball Teams**Is the number of games won by a softball team in a season related to the team batting average? The table below displays the batting average (in thousandths) and the number of games won for 8 different teams.| Team | Batting Average | Games Won ||------|-----------------|-----------|| 0 | 313 | 41 || 1 | 297 | 36 || 2 | 316 | 48 || 3 | 303 | 31 || 4 | 281 | 46 || 5 | 259 | 45 || 6 | 273 | 39 || 7 | 318 | 43 |**Analysis Tasks:**Using games won as the explanatory variable $ x $, perform the following analyses:a. Find the correlation coefficient $ r $.b. Determine the equation of the least squares line $ \hat{y} $. The data aims to explore any potential correlation and linear relationship between a team's batting average and the number of games they win, offering insights into factors that might influence team success.

It is required to obtain the correlation coefficient, r, and the equation of the least squares…

Answered: Is the number of games won by a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Dataset physical is available here. The figure for this exercise is a scatterplot of y 61 60 Head circumference (cm) gཆ ཆུ 56 55 54 59- 58 57 = head circumference (centimeters) versus x = height (inches) for 30 females. 53 60 62 64 66 Height (in.) 68 70 72 (a) Which association does the plot show between the two variables? Explain. There is a positive association since the average head circumference seems to decrease as height increases. There is a negative association since the average head circumference seems to increase as height increases. There is a negative association since the average head circumference seems to decrease as height increases. There is a positive association since the average head circumference seems to increase as height increases. There is no association since the average head circumference is approximately the same across heights. (b) One data point appears to be an outlier. What are the approximate values of height and head circumference for that point?…
8) Hours of sleep per day vs. Age Hours of sleep per day T N 10 20 Age 30 Consider the scatter plot that shows a y = 0.0789x + 9.02 person's age and the r² = 0.606 number of hours they sleep per night. 40 a) Briefly describe the type and strength of the correlation. b) To determine the number of hours that a 75-year-old would sleep, you would use (fill in the blank with interpolation or extrapolation).
The cost of a leading liquid laundry detergent in different sizes is given below Size (ounces) Cost ($) 16 3.99 32 4.99 64 5.99 200 10.99 A. Write a brief description of the association.B. What is the strength of the relationship between the size of the laundry detergent and the cost? Use the correlation coefficient in your explanation.C. State the model for the size of the laundry detergent and the cost.D. Interpret the slope of your model in context.E. Interpret the intercept of your model in context. F. In the context of the problem is it better to have a positive or negative residual. Explain. G. Use the linear model to predict the cost of 300 ounces of laundry detergent.
Weight (lbs.) 173 184 194 214 168 220 188 188 207 167 217 Systolic Blood Pressure 132 143 153 162 154 168 137 149 159 128 1 1. The sample correlation coefficient is _____________
Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corresponds to the correlation coefficient. (Click on image for a larger view.) B v 1. r = -0.74 с A ✓ 2. r = -0.49 3. r = -0.97 4. r = 0.76 A B D
The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? A. 40- 20- 2000 5000 2795 3225 3470 32 34 28 Weight (lb) B. 40- 20+ 2000 D 5000 Weight (lb) 4085 4155 2225 25 23 38 C. ● 20+ 2000 ● ● ● ● 5000 Weight (lb) Is there a linear relationship between weight and highway mileage? A. No, there appears to be no relationship. B. Yes, as the weight increases the highway mileage decreases. C. No, there appears to be a relationship, but it is not linear. D. Yes, as the weight increases the highway mileage increases. 40- 20- 2000 3440 29 5000 Weight (lb)
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Answer parts a-c. Budget (x) Gross (y)60 6091 6050 4839 62193 558105 14087 52 a. Find the value of the linear correlation coefficient r.
èstion 1 Provide an appropriate response. In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. 173 79 122 | 105 53.5 142 | 205 85.4 522 349 Rainfall (in inches), x 15.1 12 8.7 17.7 Yield (bushels per acre), y O 0.900 O 0.981 O 0.998 49.2 618 62 818 O 0.899 A Moving to another question will save this response. Question 1 of 20>> 11:33 AM (ゆッ 5/19/2021 PrtSen Home PgUP End E D B Alt
Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?
Two sets of data shown below represent male and female students' lengths in (cm) in a college. Determine the Coefficient of Variation of male and female students, and then select the correct choices: Set (1) Male Students 152 164 180 175 165 Set (2) Female Students 155 168 164 158 This question includes .multiple correct choices 179 C.V. female = 0.051 C.V. male > C.V. female C.V. female > C.V. male C.V. male = 0.085
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.
JUST ANSWER THE LETTER D AND E A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?

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