Asha made 15 sandwiches. 6 were cheese, and the rest were peanut butter. How many peanut butter Sandwiches did Asha make?
1 answer:
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Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 4:</u>
The line of regression is where:
We are given that ,
,
,
, and
, therefore our slope,
, is:
Therefore, the slope of the regression line is 0.16, which can be used along with the values of and
to find the constant
:
This means our final regression line is
<u>Problem 5:</u>
The slope, , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.
<u>Problem 6:</u>
The y-intercept (or constant), , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.
<u>Problem 7:</u>
<u>Problem 8:</u>
The fraction of variability (aka. coefficient of determination), , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.