The following table represents the number of hours spent gaming the week before an exam versus the Score on that exam. Hours gaming: 1 3 6 7 9 12 Exam Score: 83 74 62 49 44 35 Part A: Identify Explanatory and Response variables. Part B: Determine the equation of the LSRL. Part C: Find and interpret the correlation coefficient.
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- Statistics QuestionThe 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? 2425 Weight (Ib) Highway (mpg) 2725 2875 3480 4070 4090 3125 34 33 30 25 24 36 31 Which scatterplot below shows the data? O A. OB. C. O D. 40- 40- 40 20+ 2000 20- 2000 Weight (Ib) 20어 2000 20- 2000 Weight (Ib) 5000 5000 5000 5000 Weight (Ib) Weight (Ib) Is there a linear relationship between weight and highway mileage? O A. No, there appears to be no relationship. O B. Yes, as the weight increases the highway mileage increases. O C. No, there appears to be a relationship, but it is not linear. Click to select your answer. 4:21 PM a 17 梦 * v 6/4/2021 W 0 門 e Type here to search Chp ins prt sc delet fg ho ト f8 144 f6 10 f5 f4 IOI esc back & #3 $4 4 T. 6, 00 %24 (6 d) AamH 3. (B dw) AmClick this Video for Finding Correlation Coefficient by Using Formula. Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. x (hour) 8 9 3 9 1 2 3 4 5 Calculate the sample correlation coefficient (r) to three decimal places. r= 9 Why would we expect the correlation coefficient to be positive? As the sleep time increases, exam score increases As the sleep time increases, exam score decreases As the sleep time decreases, exam score increases There is no change in exam score to sleep time C E y (score) 91 94 51 100 90 C A
- You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 21 19 27 20 58 31 77 31 47 24 50 26 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject HoAssume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Test A (x) 43 65 73 34 99 78 65 Test B (y) 39 60 62 20 85 70 54 1. Calculate r, the linear correlation coefficient. Identify the values for each part below. Part a. The value of n Part b. The sum of the x-values Part c. The sum of the y-values Part d. The sum of the x-squared values Part e. The sum of the y-squared values Part f. The sum of the (xy) values Part g. The final value of r rounded top three decimal places
- Please provide answers for the empty boxes. The following data are the morning and evening high tide levels for Charleston, SC from January 1-14,2017. The information for the PM high tide for January 4 is missing. Create a scatter plot. Find the regression line and use it to estimate the PM high tide for January 4. Then find the correlation coefficient. (NOTE: The first column identifies the day. This data will not be used in the scatter plot.)The data in the table is the number of absences for 7 students and their corresponding grade. Number of Absences Grade0 5.51 52 4.53 3.55 37 2.58 2 Step 1 of 3: Calculate the correlation coefficient, r. Round your answer to six decimal places.Write a report using Word. Cover the following topics. This file contains some information about different cars. Car Weight (pounds), x Miles per Gallon, y A 2750 31.5 B 3120 27.9 C 3385 23.7 D 3740 23.3 E 4225 21 Create a scatterplot for the data in the Weight and Braking columns. Paste it here. a) Using StatCrunch or TI 83/84 to calculate the linear correlation between the data in the Weight and MPG columns. b) Explain the mathematical relationship between Weight and MPG based on the linear correlation coefficient. Be certain to include comments about the magnitude and the direction of the correlation. c) Write the equation for the least-squares regression line if there is one. d) Predict the miles per gallon of car C and compute the residual.
- A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between using the explanatory variable x=study time per week (average number of hours) to predict the response variable y=college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. Student 1 2 3 4 5 6 7 8 Study Time 15 6 22 13 24 4 10 15 GPA 3.4 2.8 3.9 3.2 3.7 2.7 3.2 2.7 a. Construct a scatterplot. Interpret. Which scatterplot below correctly shows the data? A. 04004xy A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 10 and a vertical y-axis labeled from 0 to 4 in increments of 1. A cluster of plotted points that form a line that rises from left to right lie between…Based on the scatter plot below on data from Central Harlem, would you estimate the correlation coefficient to be positive, negative, or close to 0? Select the correct correlation and corresponding explanation. Household Income vs. Serious Crime Rate (per 1,000 residents) CentralHarlem Data Scatter Plot: 22- 21- 20- 19- 18- 17 16- 15 32 34 36 38 40 42 Household_Income (thousands) Positive; As the household income increases, the serious crime rate decreases. A. Negative; As the household income increases, the serious crime rate decreases. B. Positive; As the household income increases, the serious crime rate also increases. OC. Negative; As the household income increases, the serious crime rate also increases. D. Close to 0; There is no linear correlation between household income and serious crime rate. E. A Moving to another question will save this response. Question 24 of 25 MacBook Air Serious crime_rateGiven the scatter plot below, which of the following describes the strength and direction of the data? 10 Weak negative correlation Strong negative correlation Strong positive correlation Weak positive correlation