Question

The following table gives information on the amount of sugar (in grams) and the calorie count...

The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg's cereal.

Sugar (grams)

6

15

12

11

8

6

7

3

7

14

20

5

13

Calories

120

200

150

110

130

80

200

120

120

190

190

130

120

Find the predictive regression equation of the number of calories on the amount of sugar.

Carry out all calculations exactly, and round the final answers to three decimal places.

y^=4.779+96.387x
y^=96.387+4.779x
y^=5.779+189.767x
y^=96.387-4.779x
y^=-189.767+5.779x
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1
X y (x-xbar)^2 (x-xbar)(y-ybar)

6
15
12
11
8
6
7
3
7
14
20
5
13

M: 9.7692

120
200
150
110
130
80
200
120
120
190
190
130
120

M: 143.0769

14.2071
27.3609
4.9763
1.5148
3.1302
14.2071
7.6686
45.8225
7.6686
17.8994
104.6686
22.7456
10.4379

SS: 282.3077

86.9822
297.7515
15.4438
-40.7101
23.1361
237.7515
-157.6331
156.213
63.9053
198.5207
480.0592
62.3669
-74.5562

SP: 1349.2308

Regression equation

Sum of X = 127
Sum of Y = 1860
Mean X = 9.7692
Mean Y = 143.0769
Sum of squares (SSX) = 282.3077
Sum of products (SP) = 1349.2308

Regression Equation = ŷ = bX + a

b = SP/SSX = 1349.23/282.31 = 4.779

a = MY - bMX = 143.08 - (4.78*9.77) = 96.387

ŷ = 4.779X + 96.387

So answer is

Option (b)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Do questions A-D The following table gives information on the amount of sugar (in grams) and...
Do questions A-D The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 8 varieties of Kellogg’s cereal. Sugar (grams), ? 4 14 12 10 8 6 7 3 Calories, ? 110 140 130 110 120 100 120 190 a. Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear relationship between the amount of sugar and the number of calories per serving?...
Using the data below, the Sugar and Calories columns give the grams of sugar and number...
Using the data below, the Sugar and Calories columns give the grams of sugar and number of calories in one serving of a high fiber cereal. Conduct a hypothesis test at the ? = .02 los, to determine if there is a correlation between the Sugar content and amount of Calories. 1). Write the appropriate hypothesis to test the population correlation . H0: Ha: 2). Specify the level of significance  = 3). Label the critical values and label the...
The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000...
The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000 births) for ten countries. Country                Mean Daily Calories           Infant Mortality Rate      Afghanistan                      1523                              154              Austria                         3495                                 6              Burundi                        1941                              114             Colombia                       2678                               24              Ethiopia                         1610                             107             Germany                        3443                                6               Liberia                          1640                             153          New Zealand                     3362                                 7              Turkey                          3429                               44                USA                           3671                                 7 a)      Find the regression equation. b)   Calculate the correlation coefficient, accurate to three decimal places   c) Test the significance of the correlation coefficient with a 0.05 level of significance. Include definition of hypotheses, test statistic, p-value or critical value, decision about Ho, and conclusion....
Table 1. Use the information to calculate the following TC, AFC, AVC, ATC, AND MC (I...
Table 1. Use the information to calculate the following TC, AFC, AVC, ATC, AND MC (I through 50) TP TFC TVC TC AFC AVC ATC MC 150 0 (1) (11) (21) (31) (41) 2 150 70 (2) (12) (22) (32) (42) 3 150 130 (3) (13) (23) (33) (43) 4 150 240 (4) (14) (24) (34) (44) 5 150 300 (5) (15) (25) (35) (45) 6 150 360 (6) (16) (26) (36) (46) 7 150 390 (7) (17) (27) (37)...
The data (bloodpressure) (first column is ID) gives the systolic blood pressure (SBP), body size (QUET),...
The data (bloodpressure) (first column is ID) gives the systolic blood pressure (SBP), body size (QUET), age and smoking history (SMK=0 if nonsmoker, SMK=1 if smoker) for a hypothetical sample of 32 white males over 40 years old from the town of Angina. In the problem, we will choose SBP as the response. The two variables QUET and SMK will be considered. Answer the following questions about the separate straight-line regression of SBP on QUET for smokers (SMK=1) and nonsmoker...
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves...
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 5 8 16 26 36 y 44 53 71 100 150 200 Complete parts (a) through (e), given...
A loan made on March 14 is due September 13 of the following year. Find the...
A loan made on March 14 is due September 13 of the following year. Find the exact time for the loan in a​ non-leap year and a leap year. days. The exact time in a​ non-leap year is ? days The exact time in a leap year is ? days. Data Table Sequential Numbers for Dates of the Year Day of Month Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. 1 1 32 60 91 121...
In February 2012, the Pepsi Next product was launched into the US market. This case study...
In February 2012, the Pepsi Next product was launched into the US market. This case study provides students with an interesting insight into PepsiCo’s new product process and some of the challenging decisions that they faced along the way. Pepsi Next Case Study Introduction Pepsi Next was launched by PepsiCo into the US market in February 2012, and has since been rolled out to various international markets (for instance, it was launched in Australia in September 2012). The new product...
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel...
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel to check your answers before submitting. Q2 assesses your general understanding of probability and linear associations using Excel to analyse a large dataset. Question 1       Covariance and Correlation The table below shows a set of sample bivariate data. Calculate the covariance and correlation coefficient by completing the below table. Show all working. X Y (X - ) (Y - ) (X - )(Y -...
READ THE CASE STUDY AND ANSWER THE FOLLOWING QUESTIONS 2nd CASE: An Unexplained Death A 65-year-old...
READ THE CASE STUDY AND ANSWER THE FOLLOWING QUESTIONS 2nd CASE: An Unexplained Death A 65-year-old man of Scandinavian descent was rushed to the Emergency Room of your local hospital after a family member discovered him unconscious in his home. The woman who dialed “911” told the dispatcher that the man, her brother, was the local librarian of the past 10 years and had no spouse or children. She reported that they had spoken the day before, and he had...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT