Consider the following dataset. Price (X) | Demand (Y) $49 $69 $89 $99 $109 124 95 71 45 18 Determine a 90% confidence interval for Bo
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- Several years ago, the state of California launched an aggressively advertisement campaign against smoking. We've interviewed students from 16 college campuses in California and recorded for each campus the percentage of students who claimed that they had encountered assay least one anti smoking advertisement on campus in the past month. Here are those percentages. 53 39 30 49 48 42 41 38 26 36 40 42 52 51 45 50 Construct a box and whisker plot for the data.The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. LOADING... Click the icon to view the table of critical values of the correlation coefficient. a) Which variable is likely the explanatory variable and which is the response variable? Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 n (a) Which variable is likely the explanatory variable and which is the response variable? The explanatory variable is…The following data represents the winning percentage (the number of wins out of 162 games in a season) as well as the teams Earned Run Average, or ERA.The ERA is a pitching statistic. The lower the ERA, the less runs an opponent will score per game. Smaller ERA's reflect (i) a good pitching staff and (ii) a good team defense. You are to investigate the relationship between a team's winning percentage - Y, and its Earned Run Average (ERA) - X. Winning Proportion - Y Earned Run Average (ERA) - X 0.623457 3.13 0.512346 3.97 0.635802 3.68 0.604938 3.92 0.518519 4.00 0.580247 4.12 0.413580 4.29 0.407407 4.62 0.462963 3.89 0.450617 5.20 0.487654 4.36 0.456790 4.91 0.574047 3.75 (b) Use R-Studio to find the least squares estimate of the linear model that expressed a teams winning percentage as a linear function of is ERA. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A certain professional baseball team had an earned run average of 3.45 this past…
- The multivariate analysis considers more than one factor of independent variables that influence the variability of dependent variables. a. True b. FalseA statistic is a number that... describes a characteristic of a population of scores. describes a characteristic of a sample of scores. is never used to estimate or make a decision about a parameter. summarizes all the individuals a researcher is interested in.A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's average points per game (PPG) and his average minutes per game (MPG). The accompanying table Iists a portion of the data that he collected for ten players. (You may find it useful to reference the toble.) PPG 31.4 31.7 MPG 36.2 35.4 Playen 2. 25.6 35.2 1e Doicture Click here for the Excel Data File a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round finel onswer to 4 decimal places.) Sample correlation coefficient 6-2. Interpret the sample correlation coefficient between PPG and MPG O The cortelation coefficient indicates a positive linear relationship O The correlation coefficient Indicates a negative linear relationship O The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation between PPG and MPG Is positive. Diaw rage Layout Formulas U…
- There is a strong relationship between heterosexual couples attractiveness scores. Therefore, a researcher wanted to determine if husbands attractiveness score may be predicted from their counterparts’ scores. Below are couples attractiveness ratings. Observation Wife (X) Husband (Y) 1 11 14 2 6 7 3 16 15 4 4 7 5 1 3 6 10 9 7 5 9 8 3 8 Complete the following ANOVA table Source SS DF MS F SSreg SSres SStotalIt is assumed that standardized test scores should be correlated with students' classroom performance. One would expect that students who consistently perform well in the classroom (on tests, quizzes, etc.) would also perform well on a standardized test scored from 0-100 (with 100 indicating high achievement). A teacher decides to examine this hypothesis. At the end of the academic year, she collects the following data for her (admittedly small) class: Standardized test score Overall GPA 56 1.8 1 73 2.6 2 78 2.9 3 83 2.9 4 85 3.0 5 rows x 2 columns What is your best guess for the expected GPA of a student who scored a 88 on the standardized test? number (rtol=0.01, atol=0.0001) Determine a 95% confidence interval for the expected GPA of a student who scored a 76 on the standardized test. Ib number (rtol=0.01, atol=0.0001) ub number (rtol=0.01, atol=0.0001)The following box plot represents a sample of house prices. House prices ($1000s) 160 Find and interpret the first quartile Q1. 155 Ex: 19000 150 Pick 145 Pick 25% of the house prices fall above Q1. Find al 25% of the house prices fall below Q1. Q1 is the median value. 140 135 Pick 130 125 120
- You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.02α=0.02. You have the following bivariate data set. x y 25.2 64.3 15.3 79.6 39 49.8 30 75.1 14.8 82.2 15.7 69.9 4.3 92.5 17.9 84.4 13.4 77.6 18.4 74.4 25 78.1 24.4 65 23.7 69.7 10.9 89.1 31.3 65.3 20.6 82.4 20.4 81.1 29 68.2 13.9 92 8.7 88.4 5.3 93.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)What is the p-value for this correlation coefficient? p-value =Consider the following ordered data. 4 7 7 8 9 9 10 11 12 (a) Find the low, Q1, median, Q3, and high.The following 10 questions are pertaining to this Data (Please input this data into an Excel worksheet and do not forget to include a column for the time period Year QTR SUBSCRIBERS 2000 1. 205 2. 400 200 4. 229 2001 236 2. 219 211 200 2002 280 2. 275 3. 261 4. 322 2003 1. 500 2. 230 310 4. 400 2004 1. 325 2. 241 3. 379 4. 316 1 pts The Trend Value (using Regression) for Quarter 1 of 2002 is: O 235.94 O 355.98 O 229.23 O 277.95