Question

Some statistical methods require that the residuals from a regression line have a normal distribution. Consider the following residuals.

0.37 | -0.70 | 0.10 | -0.34 | 0.19 | 0.61 | -0.26 | -0.98 |

1.64 | -0.18 | -0.23 | 0.54 | -0.54 | -1.11 | 0.93 | -0.03 |

(b) Find the regression line of mean score on time step-by-step.
First calculate the mean and standard deviation of each variable
and their correlation (use a calculator with these functions). Then
find the equation of the least-squares line from these. (Round your
answers to two decimal places.)

*?* = + *x*

Draw the line on your scatterplot. What percent of the year-to-year
variation in scores is explained by the linear trend? (Round your
answer to one decimal place.)

%

Answer #1

**Descriptive Statistics: x, y**

Variable Mean StDev

x -0.126 0.543

y 0.127 0.872

**Correlation: x, y**

Pearson correlation of x and y = -0.102

**Regression Analysis: y versus x**

**Model Summary**

S R-sq R-sq(adj) R-sq(pred)

0.937266 1.04% 0.00% 0.00%

**Coefficients**

Term Coef SE Coef T-Value P-Value

Constant 0.107 0.341 0.31 0.765

x -0.164 0.653 -0.25 0.811

**Regression Equation**

y = 0.107 - 0.164 x

1.04 percent of the year-to-year variation in scores is explained by the linear trend .

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 24 minutes ago

asked 28 minutes ago

asked 33 minutes ago

asked 34 minutes ago

asked 48 minutes ago

asked 49 minutes ago

asked 52 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago