To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models.† Brand & Model Price ($) Overall Score Samsung Ultrabook NP900X3C-A01US 1,250 83 Apple MacBook Air MC965LL/A 1,300 83 Apple MacBook Air MD231LL/A 1,200 82 HP ENVY 13-2050nr Spectre XT 950 79 Sony VAIO SVS13112FXB 800 77 Acer Aspire S5-391-9880 Ultrabook 1,200 74 Apple MacBook Pro MD101LL/A 1,200 74 Apple MacBook Pro MD313LL/A 1,000 73 Dell Inspiron I13Z-6591SLV 700 67 Samsung NP535U3C-A01US 600 63 #1) Use the least squares method to develop the estimated regression equation. (Round your numerical values to three decimal places). ŷ = #2) Suppose the price for another laptop that Consumer Reports tested was $1,000. Predict the overall score for this laptop using the estimated regression equation developed in part (c). (Round your answer to one decimal place.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models.†
| Brand & Model | Price ($) | Overall Score |
|---|---|---|
| Samsung Ultrabook NP900X3C-A01US | 1,250 | 83 |
| Apple MacBook Air MC965LL/A | 1,300 | 83 |
| Apple MacBook Air MD231LL/A | 1,200 | 82 |
| HP ENVY 13-2050nr Spectre XT | 950 | 79 |
| Sony VAIO SVS13112FXB | 800 | 77 |
| Acer Aspire S5-391-9880 Ultrabook | 1,200 | 74 |
| Apple MacBook Pro MD101LL/A | 1,200 | 74 |
| Apple MacBook Pro MD313LL/A | 1,000 | 73 |
| Dell Inspiron I13Z-6591SLV | 700 | 67 |
| Samsung NP535U3C-A01US | 600 | 63 |
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
