HELP! least square regression

[tex]HELP! least square regression[/tex]

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HELP! least square regression

[tex]HELP! least square regression[/tex]

answer: your correct answer is b. d.

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road

it is c!

For the first question, I think the best answer would be the fourth choice.

The 95% confidence interval for the slope of the least squares regression line would be: (0.38, 0.42).

I hope my answer has come to your help. God bless and have a nice day ahead!

A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

Step-by-step explanation:

John is predicting test scores of students on the basis of their home work averages and he get the following regression equation

y=0.2 x +82.

Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.

The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.

We are given that correlation coefficient r= 0.82.

coefficient of determination R²=0.82²=0.6724 or 67.24%.

Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.

Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

Hello there.

Do the levels of fear in children change over time? If so, in what ways? Very little research has been done on the prevalence and persistence of fears in children. Researchers surveyed a group of third and fourth grade children and asked them to rate their level of fear about a variety of situations. After two years the children again completed the same survey. The researchers calculated the mean fear rating for each child in both years and were interested in the relation between these ratings. The least-squares regression line for the data, with 89 mean fear ratings as the explanatory variable and 91 mean fear ratings as the response variable, is given below.

Dependent variable is 91 means

R squared = 27.4%

S = 0.2374 with 94 ? 2 = 92 degrees of freedom

Variable Coefficient s.e. of coefficient t-ratio P-value

Constant 0.877917 0.1184 7.42 ¡Ü 0.0001

89 means 0.397911 0.0676 5.89 ¡Ü 0.0001

Approximately what is a 95% confidence interval for the slope of the least squares regression line?

D. (0.33, 0.47)