Part (C)
Computational Table:
Size (X) | Cost (Y) | X2 | Y2 | XY | |
16 | 3.49 | 256 | 12.18 | 55.84 | |
32 | 4.39 | 1024 | 19.27 | 140.48 | |
64 | 5.29 | 4096 | 27.98 | 338.56 | |
200 | 10.29 | 40000 | 105.88 | 2058 | |
Total | 312 | 23.46 | 45376 | 165.3204 | 2592.88 |
Calculation:
For Slope:
b = 0.036
For Intercept:
a = 5.865 - 0.036 * 78
a = 3.036
Therefore, the least square regression line would be,
= 3.036 + 0.036 (X)
d)
Correlation coefficient (r):
r = 0.9990
Is it significant,
Correlation coefficient (r) value is near to +1, i.e. there is Strong Postive Correlation between size (Ounces) and Cost ($)
ANSWER: A
A. Yes
Part (e)
The least square regression line would be,
= 3.036 + 0.036 (X)
Put X = 50
= 3.036 + 0.036*50
= 4.85
Part (f)
The least square regression line would be,
= 3.036 + 0.036 (X)
Put X = 80
= 3.036 + 0.036*80
= 5.94
i)
For Slope:
b = 0.036
As the number of ounces of liquid laundry detergent increased by one unit, the detergent cost increased by 0.036 dollars.
The cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces)...
The cost (in cents) per ounce of a leading liquid laundry detergent in different sizes. (75) Size (ounces) Cost per ounce (C) 16 24.94 32 12.35 54 6.21 100 7.50 a. c. Define the Independent and Dependent variables b. Plot the points on a graph and label the axes Write the regression equation. Use correct notation. d. Perform a hypothesis test to determine if there is significant linear correlation. Be sure to include 2 separate conclusions as shown on the...
Need help with parts C, D, E, F and J please and thank you! ei The cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces) Cost (5) 16 3.29 32 429 64 5.29 200 10.19 Part Parti Parte Call the last sein. Put the gation in the form of a bw. Round your answers to three decimal places) Part Find the correlation contr. (Round your answer to four decimal places) Is it can •...
The following are advertised sale prices of color televisions at an electronics store. Size (inches) Sale Price ($) 9 137 20 187 27 297 31 447 35 1177 40 2177 60 2497 a) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) ŷ =___________+__________x b) Find the correlation coefficient r. (Round your answer to four decimal places.) r=____________ c) Find the estimated sale price for...
The following are advertised sale prices of color televisions at an electronics store. Size (inches) 9 20 27 31 Sale Price ($) 137 177 267 447 1177 2177 2497 35 40 60 Part(a) Part (b) Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: û = a + bx. (Round your answers to three decimal places.) ý = -759.909 + 55.038 x x Part (0) Find the correlation coefficient r. (Round your...
A bottle of liquid laundry detergent priced at $15.50 for a 50-load bottle has been changed to $14.75 for a 54-load bottle. By what percentage has the price per load changed? Note: Please make sure your final answer(s) are in percentage form and are accurate to 2 decimal places. For example 34.56%
The table below shows the life expectancy for an individual born in the United States in certain years. Year of Birth Life Expectancy 1930 59.7 1940 62.9 1950 70.2 1965 69.7 1973 71.4 1982 74.5 1987 75 1992 75.7 2010 78.7 a) Calculate the least squares line. Put the equation in the form of ŷ = a + bx. (Round your answers to three decimal places.) ŷ =_________+_______x b) Find the estimated life expectancy for an individual born in 1965...
The table below shows the life expectancy for an individual born in the United States in certain years. Year of Birth Life Expectancy CHART W NUMBERS IS BELOW Part (a) Decide which variable should be the independent variable and which should be the dependent variable. A)Independent: year of birth; Dependent: life expectancy Independent: life expectancy; B) Dependent: year of birth Incorrect: Your answer is incorrect. Part (b) Draw a scatter plot of the ordered pairs. Part (c) Calculate the least...
Below are the average heights for American boys in 1990. Age (years) birth 2 3 Height (cm) 50.8 83.8 91.4 5 106.6 119.3 137.1 157.5 Part (0) Use the least squares line to estimate the average height for a sixty-four-year-old man. (Use your equation from part (d). Round your answer to one decimal place.) 7.1 cm Do you think that your answer is reasonable? Why or why not? Yes, because the answer is positive. No, because 64 is outside the...
A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 33 35 40 36 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to one decimal place and b1 to three decimal places.) ŷ = (b) Use the results from part (a) to test for a significant relationship between x and y. Use α =...
The maximum discount value of the Entertainment card for the "Fine Dining" section for various pages is given in the table below. Page number 4 Maximum value ($) 17 14 20 25 14 32 18 18 57 14 72 16 85 14 90 16 Let page number be the independent variable and maximum value be the dependent variable. Part Part Calculate the least squares line. Put the equation in the form of a + b (Round your answers 9- three...