**Title: Analyzing the Relationship Between Study Hours and Test Scores****Description:**This exercise involves finding the equation of the regression line for the given data. You will construct a scatter plot and draw the regression line to explore the significant correlation between variables. The aim is to predict the test scores based on hours spent studying.**Data Table: Hours vs. Test Scores**| Hours spent studying, x | Test score, y ||-------------------------|---------------|| 2 | 38 || 2.5 | 44 || 3 | 50 || 5 | 47 || 5 | 61 || 6 | 68 |**Tasks:**1. **Find the regression equation**: - Regression equation: $ \hat{y} = 6.269x + 32.48 $ - The slope (rounded to three decimal places) is 6.269. - The y-intercept (rounded to two decimal places) is 32.48.2. **Choose the correct graph**: - Four graph options (A, B, C, D) are provided to visualize the data and regression line.**Graph Analysis:**- The graphs display test scores vs. hours spent studying.- A correct graph would show a scatter plot aligning with the calculated regression line, demonstrating the positive correlation between study time and scores.Users are instructed to select the graph that correctly represents the data and regression analysis. **Predictive Use:**Use this regression equation to predict test scores for different study durations:- (a) $x = 2$ hours- (b) $x = 2.5$ hours- (c) $x = 12$ hours- (d) $x = 4.5$ hours**Instructions:**Click to select your answer(s) based on the correct graphical representation of the regression analysis.

Enter the given data in Excel Steps to do regression in excel as shown below Go to data -> data…

EQuestion Help Find the equation of the tregression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 3 47 (b) x = 25 hours (a) x= 2 hours (c) x= 12 hours 38 44 50 61 68 (d) x = 4 5 hours Find the regression equation. y = 6.269 x + (32.48 (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) %3D Choose the correct graph below. OD. O A. OB. OB. Oc. 0- 80 80- Q Hours studying Hours studying Hours studying Hours studying 1012 (R.) Click to select your answer(s).

EQuestion Help Find the equation of the tregression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 3 47 (b) x = 25 hours (a) x= 2 hours (c) x= 12 hours 38 44 50 61 68 (d) x = 4 5 hours Find the regression equation. y = 6.269 x + (32.48 (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) %3D Choose the correct graph below. OD. O A. OB. OB. Oc. 0- 80 80- Q Hours studying Hours studying Hours studying Hours studying 1012 (R.) Click to select your answer(s).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Data Table Internet Users Per 100 Nobel Laureates 79.8 5.6 79.7 24.2 78 8.5 45 0.1 83.2 6 38.5 0.1…

Q: The data show the bug chirps per minute at different temperatures. Find the regression equation,…

A: The regression equation is given as Y=24.36+0.056(X).

Q: work The following data show the brand, price ($), and the overall score for six stereo headphones…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Given data set is : Hours spent studying, x 1 1 2 4 4 5 Test score, y 40 44 52 48 63 71

Q: Part a: Make a scatter plot and determine which type of model best fits the data. Part b: Find the…

A: Given: x -3 -2 -1 0 1 2 y 0.125 0.25 0.5 1 2 4

Q: Find the regression equation, letting the first variable be the predictor (x) variable. Find the…

A: Given : Internet users per 100(x) Nobel Laureates(y) 79.5 5.6 79.7 24.4 78.3 8.7 45 0.1…

Q: (THe pair of variables have a significant correlation.) Then use the regression equatic muaningful.…

A: Given- regression data To find: regression line scatter plot predicted value of y when x is…

Q: 10. Run each listed regression for the data set and determine which model is best. Hours Studied…

A: From the given information, hours studied(x)Test score(y)1780753901.5892.75971850.581280

Q: Use the given data to find the equation of the regression line. x: 6,8,20,28,36 y: 2,4,13,20,30

A: Solution: x y x^2 y^2 x⋅y 6 2 36 4 12 8 4 64 16 32 20 13 400 169 260 28 20 784 400 560…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: We have given that, X :- 0, 1, 2, 4, 5, 5 Y:- 40, 45, 51, 49, 62, 67 Then, We will find the…

Q: Use the given data set to answer parts (a) and (b). a. Find the regression equation for the data…

A: Given data, X Y X*Y X*X 5 -2 -10 25 1 1 1 1 4 -2 -8 16 3 3 9 9 2 4 8 4

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Given data, X Y X*Y X*X 1 38 38 1 2 45 90 4 2 50 100 4 4 48 192 16 4 61 244 16 6 70…

Q: Please explain and write readable

A: It is given that the scatter plot of the data. From the plot, the pair of 10 points are (1, 6), (1,…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: The simple linear regression uses the straight line to relate the response variable and the…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Use EXCEL to determine the regression equation. EXCEL procedure: Go to EXCEL Go to Data>Data…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Use EXCEL to determine the regression equation. EXCEL procedure: Go to EXCEL Go to Data>Data…

Q: The data show the chest size and weight of several bears. Find the regression equation, letting…

A: Given X=43 Alpha=0.05 n=6

Q: table shows the average weekly wages (in arage Weekly Wages (state), x erage Weekly Wages (federal),…

A: Given data,Average weekly wages (state)Average weekly…

Q: An analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in servings…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

Q: A study was done to look at the relationship between number of lovers college students have had in…

A: Let X be the explanatory variable such that the number of lovers college and Y be the predicted…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: The least square regression line is given by, ŷ = bx+a Where b=…

Q: The accompanying data show the number of bacteria present after a certain number of hours. Find the…

A: Given:XY1165228034674780513156192674875The equation of the regression line can be computed as…

Q: Heights (in centimeters) and weights (in kilograms) of 7 supermodels are given below. Find the…

A: xy17654168501725217455166471785717655TOTAL : 1210370Sample size : n = 7Mean are calculated as:

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: xy040143351348565667

Q: The data provided give the number of standby hours based on total staff present, X₁, and remote…

A: The given data is as follows: Standby HoursRemote HoursTotal Staff…

Q: The regression equation is reported as y=43.41x+77.98 and the r2=0.2025. What is the correlation…

A: We have given that The regression equation is reported as y= 43.41x+77.98 and the r2=0.2025. Here…

Q: The accompanying data are the length (in centimeters) and girths (in centimeters) of 12 harbor…

A: In this case, the length (x) is the independent variable and the girth (y) is the dependent…

Q: A study of the amount of rainfall and the quantity of air pollution removed produced the…

A: Given that X Y X \cdot YX⋅Y X^2X2 Y^2Y2 4.3 127 546.1 18.49 16129 4.5 121 544.5 20.25…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: We have given that, X :- 1, 1, 2, 3, 5, 5 Y:- 38, 43, 51, 48, 64, 72 Then, We will find the…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Given data, X Y X*Y X*X 1 39 39 1 2 45 90 4 2 50 100 4 4 49 196 16 5 63 315 25 5 73…

Q: The following results were obtained through a Multiple Linear Regression analysis. This dataset…

A: Solution: Multiple linear regression equation is Biomass oak…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

**Title: Analyzing the Relationship Between Study Hours and Test Scores**

**Description:**

This exercise involves finding the equation of the regression line for the given data. You will construct a scatter plot and draw the regression line to explore the significant correlation between variables. The aim is to predict the test scores based on hours spent studying.

**Data Table: Hours vs. Test Scores**

| Hours spent studying, x | Test score, y |
|-------------------------|---------------|
| 2 | 38 |
| 2.5 | 44 |
| 3 | 50 |
| 5 | 47 |
| 5 | 61 |
| 6 | 68 |

**Tasks:**

1. **Find the regression equation**:
- Regression equation: $ \hat{y} = 6.269x + 32.48 $
- The slope (rounded to three decimal places) is 6.269.
- The y-intercept (rounded to two decimal places) is 32.48.

2. **Choose the correct graph**:
- Four graph options (A, B, C, D) are provided to visualize the data and regression line.

**Graph Analysis:**

- The graphs display test scores vs. hours spent studying.
- A correct graph would show a scatter plot aligning with the calculated regression line, demonstrating the positive correlation between study time and scores.

Users are instructed to select the graph that correctly represents the data and regression analysis.

**Predictive Use:**

Use this regression equation to predict test scores for different study durations:

- (a) $x = 2$ hours
- (b) $x = 2.5$ hours
- (c) $x = 12$ hours
- (d) $x = 4.5$ hours

**Instructions:**

Click to select your answer(s) based on the correct graphical representation of the regression analysis.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

How will you answer this question ? Thank you.
Please solve
The 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 40inches. Is the result close to the actual weight of 352pounds? Use a significance level of 0.05.a. Chest size (inches) 41 54 44 55 39 51 Weight (pounds) 328 528 418 580 296 503 a.What is the regression equation? b. The best predicted weight for a bear with a chest size of 39 inches is _______pounds.
You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation and the r value. The regression equation is reported as y = 75.56z + 78.71 and the r = 0.2209. What is the correlation coefficient for this data set?
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 0 Test score, y 38 Find the regression equation. 2 3 3 4 6 45 50 49 61 68 0 (a) x = 2 hours (c) x = 15 hours (b)x=4.5 hours (d) x=2.5 hours y = X + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x D Test score, y Test score 80- 0- E Hours studying Q 0 39 Find the regression equation. ŷ=x+ X (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. G 2 44 OB. 3 50 Test score 80- #R 0 3 48 Hours studying (a) Predict the value of y for x=2. Choose the correct answer below. OA. 49.8 OB. 47.0 OC. 55.5 OD. not meaningful (b) Predict the value of y for x=3.5 Choose the correct answer below. 4 65 Q 6 70 wwx O C. Test score 80+ (a) x=2 hours (c) x = 15 hours 8 Hours studying Q Q O D. 80- (b)x= 3.5…
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. The table shows the shoe size and heights (in.) for 6 men. Shoe size, x Height, y 7.5 8.5 9.5 12.0 13.0 13.5 65.0 67.0 72.0 74.0 74.0 72.0 Find the regression equation. シー+D (Round to three decimal places as needed.) Choose the correct graph below. OA. В. C. OD. 75- 75- 65- 65- 65-4 65 He 14 14 14 Shoe size Shoe size Shoe size Shoe size Height (in.) O 回 Height (in.) Height (in.) O 包 Height (in.)
Find the regression line (even if there isn't correlation in the population) Write the meaning of the slope of the regression line: Find the best predicted score a wife would have, if her husband scored 50:
You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation and the rí value. The regression equation is reported as y = - 38.57x + 35.79 and the r2 = 0.4096. What is the correlation coefficient for this data set? r =
What is the dollar amount of change in sales for each new year according to the regression (slope) model? Do not use commas or $ in your answer.
Use the given data set to answer parts (a) and (b). a. Find the regression equation for the data points. b. Graph the regression equation and the data points. a. Find the regression equation for the data points. G (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) X 5 y - 1 4 1 1 -1 3 2 2 4 Q
A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (xx) and number of sit ups a person can do (yy).The results of the regression were: y=ax+b a=-0.904 b=24.378 r2=0.64 r=-0.8 Use this to predict the number of sit ups a person who watches 9.5 hours of TV can do, and please round your answer to a whole number.